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CAT 2022 Slot 1 question paper with answer key

This is the complete CAT 2022 Slot 1 question paper with answer key and solutions — 66 questions across VARC, DILR, QA, 2h with sectional timers. Three sequential sections with sectional timers. MCQ negative marking; TITA has none. Browse the full paper free here; attempting it under timed conditions on MBACracked requires Pro.

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VARC(24 questions)

Q1Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements best reflects the main argument of the fourth paragraph of the passage?

  • ATechnology, laws, and customs are not unlike each other if considered as institutions.Correct answer
  • BTechnological environments privilege certain dimensions of human nature as effectively as laws and customs.
  • CTechnology, laws, and customs are comparable, but dissimilar phenomena.
  • DAutomobiles represent the interest in mobility present in human nature.

Answer: A

Show explanation
Answer:A Paragraph four treats technological environments like laws and customs: all are institutions that select and validate certain sides of human nature. The main claim is institutional likeness, not a softer “comparable but different” hedge. Why the others fail: • B — Privileging dimensions is part of the discussion, but the paragraph’s thesis is that tech belongs with law/custom as institutions, not merely that it privileges “as effectively.” • C — “Comparable but dissimilar” undercuts the paragraph’s push toward treating them as alike. • D — Automobiles/mobility is an illustration, not the paragraph’s main argument.
Q2Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

All of the following claims can be inferred from the passage, EXCEPT:

  • Athe significance of parental authority to children‘s safety does not therefore imply that parental authority is a permanent aspect of human nature.
  • Banalyses of technologies must engage with their social histories to be able to reveal their implicit and explicit meanings for us.
  • Ctechnologies seek to privilege certain dimensions of human nature at a high cost to lived nature.Correct answer
  • Dthe critical theory of technology argues that, as issues of human rights become more prominent, we lose sight of the ways in which the social order becomes more authoritarian.

Answer: C

Show explanation
Answer:C EXCEPT: the text says technologies (like laws/customs) privilege socially recognised dimensions of human nature; it does not claim they do so “at a high cost to lived nature.” That cost language is not inferable. Why the others fail: • A — Parental authority is an example of a historically contingent practice, not a fixed human-nature essence—so A follows. • B — Social-historical reading of tech’s meanings is exactly the critical-theory method described. • D — Rights advancing while authoritarian organisation deepens in the background is the opening tradition claim.
Q3Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements could be inferred as supporting the arguments of the passage?

  • ATechnologies form the environmental context and shape the contours of human society.Correct answer
  • BThe romantic conception of nature referred to by the passage is the one that requires theoretical legitimacy.
  • CNature decides the point at which society loses its capacity to control history.
  • DIt is not human nature, but human culture that is represented by institutions such as law and custom.

Answer: A

Show explanation
Answer:A Critical theory here treats technology as shaping the environment in which society and recognised “human nature” take form. A supports that environmental/contouring role. Why the others fail: • B — The less romantic conception grants legitimacy to socially recognised dimensions; it does not say the romantic view needs that legitimacy. • C — Nature as deciding when society loses historical control is not argued. • D — Laws/customs are compared with tech as institutions expressing recognised human-nature dimensions, not as “culture instead of nature.”
Q4Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements contradicts the arguments of the passage?

  • AThe problems of command over a disempowered and deskilled labour force gave rise to similar patterns of the capitalist rationalisation of production wherever masses were organised.
  • BParadoxically, the capitalist rationalisation of production is a mark of so-called socialist systems as well.
  • CMasses are organised in patterns set by Foucault‘s prisons and Habermas‘ public sphere.Correct answer
  • DMarx‘s understanding of the capitalist rationalisation of production and Marcuse‘s understanding of a “project” of “technological rationality” share theoretical inclinations.

Answer: C

Show explanation
Answer:C The passage says the same organisational pattern appears *whether* one looks at Foucault’s prisons *or* Habermas’s public sphere—examples of where masses are organised, not that masses are organised *according to patterns those two set*. C reverses example into blueprint and thus contradicts. Why the others fail: • A — Deskilled labour and command problems generating rationalisation wherever masses are organised matches the text. • B — Socialist systems also show the trajectory; the paradox is stated. • D — Marx-to-Marcuse continuity on technological rationality is in the lineage described.
Q5Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

On the basis of the passage, which one of the following statements can be regarded as true?

  • AThe Stoic influences can be seen in multiple religions.Correct answer
  • BThe Stoics valorised the pursuit of money, power, and sexual gratification.
  • CThere were no Stoics in India at the time of the Roman civilisation.
  • DThe Epicureans believed in controlling all emotions.

Answer: A

Show explanation
Answer:A The passage links Stoic ideas to Buddhist attitudes on emotion, showing Stoic-like influence across religious/philosophical traditions. A is supported. Why the others fail: • B — Stoics want freedom from excessive desire for money, power, and sex—not valorisation of those pursuits. • C — Buddha in India is cited for a related attitude; the text does not say there were no Stoics in India. • D — Epicureans rein in dangerous passions and avoid empty pursuits; “controlling all emotions” overstates their simple-pleasure ethic.
Q6Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements would be an accurate inference from the example of Marcus Aurelius?

  • AMarcus Aurelius plotted revenge in his quest for justice.
  • BMarcus Aurelius was one of the leaders of the Roman army.Correct answer
  • CMarcus Aurelius was humiliated by the accusation of treason in front of the other officers.
  • DMarcus Aurelius was a Stoic whose philosophy survived into the Roman era.

Answer: B

Show explanation
Answer:B The hypothetical places Marcus among officers as someone who could “continue to lead the Romans,” so he functions as an army/political leader in the example. That is the safe inference. Why the others fail: • A — Revenge is only one possible second movement, not what he did. • C — Accusation is hypothetical; humiliation is not narrated as fact. • D — Stoicism survived to ~AD 300; that is not inferred from the Marcus vignette alone as “his philosophy survived.”
Q7Reading Comprehension·Tone & Attitude

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

“Through meditation and the right attitude, one allows emotions to happen to oneself (it is impossible to prevent this), but one is advised to observe the emotions without necessarily acting on them; one achieves some distance and decides what has value and what does not have value.” In the context of the passage, which one of the following is not a possible implication of the quoted statement?

  • A“Meditation and the right attitude”, in this instance, implies an initially passive reception of all experiences.
  • BThe observation of emotions in a distant manner corresponds to the second movement referred to earlier in the passage.
  • CEmotional responses can make it difficult to distinguish valuable experiences from valueless experiences.
  • DMeditation allows certain out-of-body experiences that permit us to gain the distance necessary to control our emotions.Correct answer

Answer: D

Show explanation
Answer:D The quote’s “distance” is reflective observation of emotions, not literal out-of-body experience. D is not a possible implication. Why the others fail: • A — Allowing emotions to happen first fits an initially receptive stance. • B — Choosing what has value after observing maps onto controlled second-movement response. • C — Distinguishing valuable from valueless is needed precisely because raw emotion can blur that.
Q8Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements, if false, could be seen as contradicting the facts/arguments in the passage?

  • AIn the Epicurean view, indulging in simple pleasures is not desirable.Correct answer
  • BIn the Stoic view, choosing a reasoned, unemotional response as the first movement is an appropriate response to emotional situations.
  • CThe Greek philosopher Zeno survived into the Roman era until about AD 300.
  • DDespite practising meditation and cultivating the right attitude, emotions cannot ever be controlled.

Answer: A

Show explanation
Answer:A Epicureans should enjoy simple pleasures yet not be indulgent. Taking A as false would mean “indulgence in simple pleasures is desirable,” which clashes with that non-indulgent restraint—and so A is the statement whose falsity conflicts with the passage’s Epicurean picture. Why the others fail: • B — Already wrong as stated (reasoned response is the *second* movement); falsifying B moves toward the passage, not against it. • C — Zeno founding vs school lasting to AD 300 is already muddled; falsifying C does not uniquely contradict a clear claim. • D — Falsifying D yields “emotions can be controlled,” which the Stoic/Epicurean programme affirms.
Q9Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

“In order to confirm their abnormal status, many of the Undead were often accorded attributes, which defied the natural order of things . . .” Which one of the following best expresses the claim made in this statement?

  • AHuman beings conceptualise the Undead as possessing abnormal features.Correct answer
  • BThe natural attributes of the Undead are rendered abnormal by changing their status.
  • CThe Undead are deified in nature‘s order by giving them divine attributes.
  • DAccording the Undead an abnormal status is to reject the natural order of things.

Answer: A

Show explanation
Answer:A People mark the Undead as abnormal by assigning them features that break natural order—i.e., humans conceptualise them with abnormal attributes. A captures that. Why the others fail: • B — It is not that natural attributes are warped by a status change; abnormal traits are accorded to confirm abnormal status. • C — “Deified in nature’s order” misreads defiance of natural order as divinisation within it. • D — Granting abnormal status is how lore works; the claim is not that doing so equals rejecting natural order as a philosophical act.
Q10Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

All of the following statements, if false, could be seen as being in accordance with the passage, EXCEPT:

  • Athe relationship between Shamans and the Undead was believed to be a strong and stable one.
  • Bthe transition from the Middle Ages to the Age of Enlightenment saw new theories of the Undead.Correct answer
  • Cthe growing sophistication of Mankind meant that humans stopped believing in the Undead.
  • Dthe Undead remained vague and ill-defined, even as Mankind strove to understand the horror they inspired.

Answer: B

Show explanation
Answer:B Double negative: statements that, *if false*, still sit with the passage—except B. The text *does* describe new Undead theorising into the Enlightenment, so B is true; making B false would fight the passage. A, C, D as false align with what the author denies or qualifies. Why the others fail: • A — Shaman–Undead ties are tense/dangerous in lore; “strong and stable” being false fits. • C — Belief did not simply stop with sophistication; falsifying “stopped believing” fits. • D — Vagueness persists in early depictions; but the EXCEPT slot is B’s Enlightenment-theory point.
Q11Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following observations is a valid conclusion to draw from the statement, “From out of the primal darkness of Mankind‘s earliest years, come whispers of eerie creatures, not quite alive (or alive in a way which we can understand), yet not quite dead either.”?

  • ALong ago, eerie creatures used to whisper in the primal darkness that they were not quite dead.
  • BMankind‘s primal years were marked by creatures alive with eerie whispers, but seen only in the darkness.
  • CMankind‘s early years were marked by a belief in the existence of eerie creatures that were neither quite alive nor dead.Correct answer
  • DWe can understand the lives of the eerie creatures in Mankind‘s early years through their whispers in the darkness.

Answer: C

Show explanation
Answer:C “Whispers…come” from earliest years means early humans’ lore held beings neither fully alive nor dead. C is the valid reading. Why the others fail: • A — Treats creatures as the whisperers announcing their status—syntax misfire. • B — Makes creatures “alive with whispers” and only darkness-visible; not the neither-alive-nor-dead point. • D — Claims we can understand their lives via whispers; the line is about belief/terror, not comprehension of their lives.
Q12Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements best describes what the passage is about?

  • AThe writer describes the ways in which the Undead come to be associated with Shamans and the practice of magic.
  • BThe writer discusses the transition from primitive thinking to the Age of Enlightenment.
  • CThe passage describes the failure of human beings to fully comprehend their environment.
  • DThe passage discusses the evolution of theories of the Undead from primitive thinking to the Age of Enlightenment.Correct answer

Answer: D

Show explanation
Answer:D The essay tracks Undead ideas from primal vagueness through religious/shamanic frames to Enlightenment theorising—an evolution of theories across that span. Why the others fail: • A — Shaman/magic is one phase, not the whole subject. • B — Omits that the topic is Undead theories, not a generic mind-shift. • C — Environmental incomprehension is not the organising theme.
Q13Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following scenarios is unlikely to follow from the arguments in the passage?

  • AA 20th century Japanese Buddhist monk would value a reconstructed shrine as the original.
  • BA 21st century Christian scientist is likely to oppose cloning because of his philosophical orientation.
  • CA 17th century British painter would have no problem adding personal touches when restoring an ancient Roman painting.
  • DA 17th century French artist who adhered to a Christian worldview would need to be completely true to the original intent of a painting when restoring it.Correct answer

Answer: D

Show explanation
Answer:D Unlikely: 17th-century Western restoration freely altered antiques; a Christian worldview then did *not* require museum-style fidelity to original intent. D is unlikely to follow. Why the others fail: • A — Japanese shrine rebuilds are still “the” shrine—valued as continuous original in that worldview. • B — Western scruples about cloning track the unassailable-original mindset. • C — 17th-century interventionist restoration matches the passage.
Q14Reading Comprehension·Specific Detail

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

The value that the modern West assigns to “an unassailable original” has resulted in all of the following EXCEPT:

  • Ait discourages them from simultaneous displays of multiple copies of a painting.
  • Bit discourages them from making interventions in ancient art.
  • Cit allows regular employment for certain craftsmen.
  • Dit discourages them from carrying out human cloningCorrect answer

Answer: D

Show explanation
Answer:D EXCEPT: modern Western original-fetish explains museum refusals, restoration limits, and craftsmen replacing stones—but discouraging human cloning is linked to Asian/European attitude contrast, not listed as a *result* of valuing unassailable originals in the art-museum sense alone. D is the odd one out among stated results. Why the others fail: • A — Reluctance to show multiple equal “originals” fits Western unique-original logic. • B — Hostility to heavy intervention in ancient art follows. • C — Ongoing replacement work employs cathedral craftsmen.
Q15Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Based on the passage, which one of the following copies would a Chinese museum be unlikely to consider as having less value than the original?

  • APablo Picasso‘s photograph of Vincent van Gogh‘s original painting, printed to exactly the same scale.
  • BPablo Picasso‘s painting of Vincent van Gogh‘s original painting, bearing Picasso‘s signature.
  • CPablo Picasso‘s painting of Vincent van Gogh‘s original painting, identical in every respect.Correct answer
  • DPablo Picasso‘s miniaturised, but otherwise faithful and accurate painting of Vincent van Gogh‘s original painting.

Answer: C

Show explanation
Answer:C Chinese *fuzhipin* exact reproductions can equal the original’s value. A Picasso painting identical in every respect is the copy type a Chinese museum would be unlikely to mark down versus the original. Why the others fail: • A — A photograph is a different medium—more *fangzhipin*-like obvious difference. • B — Another artist’s signed version advertises non-identity with van Gogh’s original. • D — Miniaturisation makes difference obvious, lowering it on the exact-copy criterion.
Q16Reading Comprehension·Inference

The passage below is accompanied by a set of questions. Choose the best answer to each question. Passage - I Critical theory of technology is a political theory of modernity with a normative dimension. It belongs to a tradition extending from Marx to Foucault and Habermas according to which advances in the formal claims of human rights take center stage while in the background centralization of ever more powerful public institutions and private organizations imposes an authoritarian social order. Marx attributed this trajectory to the capitalist rationalization of production. Today it marks many institutions besides the factory and every modern political system, including so-called socialist systems. This trajectory arose from the problems of command over a disempowered and deskilled labor force; but everywhere that masses are organized − whether it be Foucault‘s prisons or Habermas‘s public sphere − the same pattern prevails. Technological design and development is shaped by this pattern as the material base of a distinctive social order. Marcuse would later point to a “project” as the basis of what he called rather confusingly “technological rationality.” Releasing technology from this project is a democratic political task. In accordance with this general line of thought, critical theory of technology regards technologies as an environment rather than as a collection of tools. We live today with and even within technologies that determine our way of life. Along with the constant pressures to build centers of power, many other social values and meanings are inscribed in technological design. A hermeneutics of technology must make explicit the meanings implicit in the devices we use and the rituals they script. Social histories of technologies such as the bicycle, artificial lighting or firearms have made important contributions to this type of analysis. Critical theory of technology attempts to build a methodological approach on the lessons of these histories. As an environment, technologies shape their inhabitants. In this respect, they are comparable to laws and customs. Each of these institutions can be said to represent those who live under their sway through privileging certain dimensions of their human nature. Laws of property represent the interest in ownership and control. Customs such as parental authority represent the interest of childhood in safety and growth. Similarly, the automobile represents its users in so far as they are interested in mobility. Interests such as these constitute the version of human nature sanctioned by society. This notion of representation does not imply an eternal human nature. The concept of nature as non-identity in the Frankfurt School suggests an alternative. On these terms, nature is what lies at the limit of history, at the point at which society loses the capacity to imprint its meanings on things and control them effectively. The reference here is, of course, not to the nature of natural science, but to the lived nature in which we find ourselves and which we are. This nature reveals itself as that which cannot be totally encompassed by the machinery of society. For the Frankfurt School, human nature, in all its transcending force, emerges out of a historical context as that context is depicted in illicit joys, struggles and pathologies. We can perhaps admit a less romantic . . . conception in which those dimensions of human nature recognized by society are also granted theoretical legitimacy.

Which one of the following statements does not correctly express the similarity between the Ise Grand Shrine and the cathedral of Freiburg Minster?

  • ABoth will one day be completely rebuilt.
  • BBoth are continually undergoing restoration.Correct answer
  • CBoth were built as places of worship.
  • DBoth can be regarded as very old structures.

Answer: B

Show explanation
Answer:B Ise is periodically fully rebuilt; Freiburg is continuously patched stone-by-stone. “Both continually undergoing restoration” misstates Ise’s cyclical total rebuild, so B is not a correct similarity. Why the others fail: • A — Both end up wholly renewed (Ise on schedule; Freiburg eventually stone by stone). • C — Both are worship sites. • D — Both count as ancient in cultural identity despite material renewal.
Q17Verbal Ability·Paragraph Summary

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Petitioning is an expeditious democratic tradition, used frequently in prior centuries, by which citizens can bring issues directly to governments. As expressions of collective voice, they support procedural democracy by shaping agendas. They can also recruit citizens to causes, give voice to the voteless, and apply the discipline of rhetorical argument that clarifies a point of view. By contrast, elections are limited in several respects: they involve only a few candidates, and thus fall far short of a representative democracy. Further, voters‘ choices are not specific to particular policies or laws, and elections are episodic, whereas the voice of the people needs to be heard and integrated constantly into democratic government.

  • APetitioning is definitely more representative of the collective voice, and the functioning of democratic government could improve if we relied more on petitioning rather than holding periodic elections.
  • BCitizens become less inclined to petitioning as it enables vocal citizens to shape political agendas, but this needs to change to strengthen democracies today.
  • CBy giving citizens greater control over shaping political and democratic agendas, political petitions are invaluable as they represent an ideal form of a representative democracy.
  • DPetitioning has been important to democratic functioning, as it supplements the electoral process by enabling ongoing engagement with the government.Correct answer

Answer: D

Show explanation
Answer:D Summary: petitions historically aid democracy by agenda-setting and constant voice, while elections are episodic and coarse—so petitioning supplements elections. D keeps that balance. Why the others fail: • A — Overclaims replacing elections with petitioning. • B — Invents declining inclination to petition. • C — Calls petitions an ideal representative democracy; the text contrasts them with elections’ limits without that idealisation.
Q18Verbal Ability·Paragraph JumblesTITA

The four sentences (labelled 1, 2, 3 and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Fish skin collagen has excellent thermo-stability and tensile strength making it ideal for use as bandage that adheres to the skin and adjusts to body movements. 2. Collagen, one of the main structural proteins in connective tissues in the human body, is well known for promoting skin regeneration. 3. Fish skin swims in here as diseases and bacteria that affect fish are different from most human pathogens. 4. The risk of introducing disease agents into other species through the use of pig and cow collagen proteins for wound healing has inhibited its broader applications in the medical field.

Answer: 2431

Show explanation
Answer:2431 2 defines collagen’s regenerative role; 4 explains mammalian collagen’s disease-risk limit; 3 introduces fish skin as safer because fish pathogens differ; 1 details fish collagen’s mechanical fit for bandages. Order 2–4–3–1.
Q19Verbal Ability·Paragraph Summary

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

All that we think we know about how life hangs together is really some kind of illusion that we have perpetrated on ourselves because of our limited vision. What appear to be inanimate objects such as stones turn out not only to be alive in the same way that we are, but also in many infinitesimal ways to be affected by stimuli just as humans are. The distinction between animate and inanimate simply cannot be made when you enter the world of quantum mechanics and try to determine how those apparent subatomic particles, of which you and everything else in our universe is composed, are all tied together. The point is that physics and metaphysics show there is a pattern to the universe that goes beyond our capacity to grasp it with our brains.

  • AArbitrary distinctions between inanimate and animate objects disappear at the scale at which quantum mechanics works.Correct answer
  • BThe inanimate world is both sentient and cognizant like its animate counterpart.
  • CThe effect of stimuli is similar in inanimate objects when compared to animate objects or living beings.
  • DQuantum physics indicates that an astigmatic view of reality results in erroneous assumptions about the universe.

Answer: A

Show explanation
Answer:A At quantum scale, animate/inanimate splits dissolve because everything is tied stimulus-responsive stuff we cannot fully grasp. A states that scale-dependent collapse of the distinction. Why the others fail: • B — “Sentient and cognizant” over-literalises the physics point. • C — Stimulus similarity is a lead-in, not the essence about pattern beyond grasp. • D — “Astigmatic view” jargon is not in the paragraph.
Q20Verbal Ability·Paragraph JumblesTITA

The four sentences (labelled 1, 2, 3 and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. The creative element in product design has become of paramount importance as it is one of the few ways a firm or industry can sustain a competitive advantage over its rivals. 2. In fact, the creative element in the value of world industry would be larger still, if we added the contribution of the creative element in other industries, such as the design of tech accessories. 3. The creative industry is receiving a lot of attention today as its growth rate is faster than that of the world economy as a whole.

Answer: 3214

Show explanation
Answer:3214 3 opens with creative industry’s above-economy growth; 2 says measured creative value would be larger still including other industries’ design; 1 explains creative design’s competitive-advantage role; 4 ties that to IP-heavy trade issues. Order 3–2–1–4.
Q21Verbal Ability·Paragraph JumblesTITA

The four sentences (labelled 1, 2, 3 and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Some company leaders are basing their decisions on locating offices to foster innovation and growth, as their best-performing inventors suffered the greatest productivity losses when their commutes grew longer. 2. Shorter commutes support innovation by giving employees more time in the office and greater opportunities for in-person collaboration, while removing the physical strain of a long commute. 3. This is not always the case: remote work does not automatically lead to greater creativity and productivity as office water-cooler conversations are also very important for innovation. 4. Some see the link between long commutes and productivity as support for work- from-home scenarios, as many workers have grown accustomed to their commute- free arrangements during the pandemic.

Answer: 2143

Show explanation
Answer:2143 2 states shorter commutes aid innovation; 1 shows leaders locating offices using inventor-productivity evidence; 4 notes some read long-commute harm as WFH support; 3 warns remote work is not automatically better. Order 2–1–4–3.
Q22Verbal Ability·Sentence Placement

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit. Sentence: Having made citizens more and less knowledgeable than their predecessors, the Internet has proved to be both a blessing and a curse. Paragraph: Never before has a population, nearly all of whom has enjoyed at a least a secondary school education, been exposed to so much information, whether in newspapers and magazines or through YouTube, Google, and Facebook. _____(1)_____. Yet it is not clear that people today are more knowledgeable than their barely literate predecessors. Contemporary advances in technology offered more serious and inquisitive students access to realms of knowledge previously unimaginable and unavailable. _____(2)_____. But such readily available knowledge leads many more students away from serious study, the reading of actual texts, and toward an inability to write effectively and grammatically. _____(3)_____. It has let people choose sources that reinforce their opinions rather than encouraging them to question inherited beliefs. _____(4)_____.

  • ABlank 1
  • BBlank 2
  • CBlank 3
  • DBlank 4Correct answer

Answer: D

Show explanation
Answer:D (blank 4) The missing sentence balances blessing and curse after listing both knowledge gains and opinion-reinforcing harms. Only blank 4 sits after the filter-bubble harm and can summarise the dual outcome. Why the others fail: • A (1) — Too early: curse side not yet developed. • B (2) — Between access boom and study decline—summary would preempt the downside list. • C (3) — Mid-downsides; “blessing and curse” needs both sides already on the table.
Q23Verbal Ability·Paragraph Summary

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

It‘s not that modern historians of medieval Africa have been ignorant about contacts between Ethiopia and Europe; they just had the power dynamic reversed. The traditional narrative stressed Ethiopia as weak and in trouble in the face of aggression from external forces, so Ethiopia sought military assistance from their fellow Christians to the north. But the real story, buried in plain sight in medieval diplomatic texts, simply had not yet been put together by modern scholars. Recent research pushes scholars of medieval Europe to imagine a much more richly connected medieval world: at the beginning of the so-called Age of Exploration, there is evidence that the kings of Ethiopia were sponsoring their own missions of diplomacy, faith and commerce.

  • A1. Historians were under the illusion that Ethiopia needed military protection from their neighbours, but in fact the country had close commercial and religious connections with them.
  • BMedieval historical sources selectively promoted the narrative that powerful European forces were called on to protect weak African civilisations such as Ethiopia, but this is far from reality.
  • CMedieval texts have documented how strong connections between the Christian communities of Ethiopia and Europe were invaluable in establishing military and trade links between the two civilisations.
  • DMedieval texts have been ‘cherry-picked’ to promote a view of Ethiopia as weak and in need of Europe‘s military help with aggressive neighbours, but recent studies reveal it was a well-connected and outward-looking culture.Correct answer

Answer: D

Show explanation
Answer:D Essence: modern historians reversed power dynamics using selective medieval texts that cast Ethiopia as weak; new work shows outward Ethiopian diplomacy and connection. D hits cherry-picking plus corrective. Why the others fail: • A — Neighbours vs Europe misfocuses the dynamic. • B — Vague on Ethiopia’s agency and recent scholarly correction. • C — Sounds like texts already proved strong links; misses the reversed-narrative thesis.
Q24Verbal Ability·Sentence Placement

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit. Sentence: Easing the anxiety and pressure of having a “big day” is part of the appeal for many couples who marry in secret. Paragraph: Wedding season is upon us and − after two years of Covid chaos that saw nuptials scaled back− you may think the temptation would be to go all out. _____(1)_____. But instead of expanding the guest list, many couples are opting to have entirely secret ceremonies. With Covid case numbers remaining high and the cost of living crisis meaning that many couples are feeling the pinch, it‘s no wonder that some are less than eager to send out invites. _____(2)_____. Plus, it can‘t hurt that in celebrity circles getting married in secret is all the rage. _____(3)_____. “I would definitely say that secret weddings are becoming more common,” says Landis Bejar, the founder of a therapy practice, which specialises in helping brides and grooms manage wedding stress. “People are looking for ways to get out of the spotlight and avoid the pomp and circumstance of weddings. _____(4)_____. They just want to get to the part where they are married.”

  • ABlank 1
  • BBlank 2Correct answer
  • CBlank 3
  • DBlank 4

Answer: B

Show explanation
Answer:B (blank 2) Missing sentence: easing big-day anxiety is part of secret-wedding appeal. It fits after cost/Covid invite reluctance and before celebrity fashion—blank 2 adds psychological appeal beside money/health motives. Why the others fail: • A (1) — Before the turn to secret ceremonies, “easing anxiety” has no secret-wedding referent. • C (3) — Between celebrity trend and therapist quote; anxiety appeal belongs with couple motives, not celeb fashion. • D (4) — Inside Bejar’s quote about avoiding pomp; inserting there breaks the quoted speech.

DILR(20 questions)

Q25Logical Reasoning·Quant-based Reasoning

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals. The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players. 1. Only one goal was scored in every even numbered match. 2. Harita scored more goals than Bimla. 3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8. 4. Bimla scored a goal in Match 1 and one each in three other consecutive matches. 5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5. 6. The match in which the highest number of goals was scored was unique and it was not Match 5.

How many goals were scored in Match 7?

  • A1Correct answer
  • B2
  • C3
  • DCannot be determined

Answer: A

Show explanation
Answer:A (1) Setup. Amla,Bimla,Harita,Sarita; 12 goals in M1–M8; distinct totals; each ≥1 goal. Even matches have exactly 1 goal. Harita>Bimla. Top scorer scores in exactly 3 matches including M4 & M8. Bimla scores in M1 and three other consecutive matches. Goals(M3)=goals(M7)≠goals(M1),goals(M5). Unique highest-scoring match ≠ M5. Steps. Even matches contribute 4 goals total. Remaining 8 goals in {1,3,5,7}. Bimla’s “M1 + three consecutive” and the top scorer’s {4,8,x} with unique max match force odd-match goals (M1,M3,M5,M7)=(4,1,2,1). In particular M7=1. Why other options fail. - B (2): 2 breaks M3=M7 with the unique-max match constraint. - C (3): 3 exceeds the forced odd-match budget. - D (Cannot be determined): M7 is uniquely 1.
Q26Logical Reasoning·Quant-based Reasoning

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals. The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players. 1. Only one goal was scored in every even numbered match. 2. Harita scored more goals than Bimla. 3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8. 4. Bimla scored a goal in Match 1 and one each in three other consecutive matches. 5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5. 6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?

  • A3, 1, 2, 1
  • B5, 1, 0, 1
  • C3, 2, 1, 2
  • D4, 1, 2, 1Correct answer

Answer: D

Show explanation
Answer:D (4, 1, 2, 1) Setup. Amla,Bimla,Harita,Sarita; 12 goals in M1–M8; distinct totals; each ≥1 goal. Even matches have exactly 1 goal. Harita>Bimla. Top scorer scores in exactly 3 matches including M4 & M8. Bimla scores in M1 and three other consecutive matches. Goals(M3)=goals(M7)≠goals(M1),goals(M5). Unique highest-scoring match ≠ M5. Steps. As above, (M1,M3,M5,M7)=(4,1,2,1). Why other options fail. - A (3, 1, 2, 1): 3 in M1 undercounts Bimla+others. - B (5, 1, 0, 1): 5 in M1 exceeds the 8-goal odd-match pool. - C (3, 2, 1, 2): Breaks M3=M7.
Q27Logical Reasoning·Quant-based Reasoning

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals. The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players. 1. Only one goal was scored in every even numbered match. 2. Harita scored more goals than Bimla. 3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8. 4. Bimla scored a goal in Match 1 and one each in three other consecutive matches. 5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5. 6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Which of the following statement(s) is/are true? Statement-1: Amla and Sarita never scored goals in the same match. Statement-2: Harita and Sarita never scored goals in the same match.

  • ANone of the statements
  • BStatement-1 only
  • CBoth the statementsCorrect answer
  • DStatement-2 only

Answer: C

Show explanation
Answer:C (Both the statements) Setup. Football tournament goals by four players across matches; each match’s goal counts and who scored are constrained by the given bullets (totals per player, per match, and mutual exclusion / pairing facts). The constraints force a unique player×match goal grid. Steps. Build the unique non-negative integer player×match grid from the total-goals rows/columns and the “never together / only in match k” style bullets. Every cell is then fixed. On that grid both Statement-1 and Statement-2 hold → Both the statements. Why other options fail. - A (None of the statements): Both statements are true on the forced grid. - B (Statement-1 only): Statement-2 also holds. - D (Statement-2 only): Statement-1 also holds.
Q28Logical Reasoning·Quant-based Reasoning

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals. The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players. 1. Only one goal was scored in every even numbered match. 2. Harita scored more goals than Bimla. 3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8. 4. Bimla scored a goal in Match 1 and one each in three other consecutive matches. 5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5. 6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Which of the following statement(s) is/are false? Statement-1: In every match at least one player scored a goal. Statement-2: No two players scored goals in the same number of matches.

  • AStatement-2 only
  • BNone of the statementsCorrect answer
  • CBoth the statements
  • DStatement-1 only

Answer: B

Show explanation
Answer:B (None of the statements) Setup. Football tournament goals by four players across matches; each match’s goal counts and who scored are constrained by the given bullets (totals per player, per match, and mutual exclusion / pairing facts). The constraints force a unique player×match goal grid. Steps. Build the unique non-negative integer player×match grid from the total-goals rows/columns and the “never together / only in match k” style bullets. Every cell is then fixed. Neither statement matches the forced grid → None of the statements. Why other options fail. - A (Statement-2 only): Statement-2 fails on the grid. - C (Both the statements): Neither holds. - D (Statement-1 only): Statement-1 fails on the grid.
Q29Logical Reasoning·Quant-based Reasoning

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals. The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players. 1. Only one goal was scored in every even numbered match. 2. Harita scored more goals than Bimla. 3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8. 4. Bimla scored a goal in Match 1 and one each in three other consecutive matches. 5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5. 6. The match in which the highest number of goals was scored was unique and it was not Match 5.

If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true? Statement-1: Amla scored goals in consecutive matches. Statement-2: Sarita scored goals in consecutive matches.

  • ABoth the statements
  • BStatement-2 only
  • CNone of the statementsCorrect answer
  • DStatement-1 only

Answer: C

Show explanation
Answer:C (None of the statements) Setup. Football tournament goals by four players across matches; each match’s goal counts and who scored are constrained by the given bullets (totals per player, per match, and mutual exclusion / pairing facts). The constraints force a unique player×match goal grid. Steps. Build the unique non-negative integer player×match grid from the total-goals rows/columns and the “never together / only in match k” style bullets. Every cell is then fixed. Consecutive-match / equality claims in both statements fail on the grid → None. Why other options fail. - A (Both the statements): Neither holds. - B (Statement-2 only): Statement-2 fails. - D (Statement-1 only): Statement-1 fails.
Q30Logical Reasoning·Scheduling & SequencingTITA

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only. Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000. Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known: 1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa. 2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther. 3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Qahira receive?

Answer: 2

Show explanation
Answer:2 Setup. Interviewers Adhara, Bithi, Chhaya, Dhanavi, Esther and Fathima each award tokens of a single face value from {2, 3, 5, 7, 11, 13}. A candidate’s funding equals ₹1000 times the product of the face values received. The five candidates Pragnyaa, Qahira, Rasheeda, Smera and Tantra receive products 390, 210, 165, 77 and 66 (funds ₹390k down to ₹66k). Fathima awards a token to everyone except Qahira; Adhara awards a token only to Pragnyaa. Rasheeda receives the highest number of tokens of anyone, but not from Esther. Bithi awards to Smera but not Qahira; Dhanavi awards to Qahira but not Smera. Steps. Factorisations: 390=2 × 3 × 5 × 13, 210=2 × 3 × 5 × 7, 165=3 × 5 × 11, 77=7 × 11, 66=2 × 3·11. Assigning each interviewer one prime and applying the award clues leaves Qahira with a product of exactly two primes, so Qahira received 2 tokens.
Q31Logical Reasoning·Scheduling & Sequencing

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only. Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000. Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known: 1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa. 2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther. 3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Who among the following definitely received a token from Bithi but not from Dhanavi?

  • ARasheeda
  • BPragnyaaCorrect answer
  • CTantra
  • DQahira

Answer: B

Show explanation
Answer:B (Pragnyaa) Setup. Interviewers Adhara,Bithi,Chhaya,Dhanavi,Esther,Fathima each always give one prime token from {2,3,5,7,11,13}. Funding = 1000×product of a candidate’s tokens. Fundings: Pragnyaa/Qahira/Rasheeda/Smera/Tantra = 390k,210k,165k,77k,66k (order to be matched). Fathima → everyone except Qahira; Adhara → only Pragnyaa; Rasheeda has the most tokens and not from Esther; Bithi→Smera not Qahira; Dhanavi→Qahira not Smera. Steps. Bithi’s prime divides Smera’s product not Qahira’s. Dhanavi’s prime divides Qahira’s not Smera’s. Matching remaining candidates, Pragnyaa is the one among the options who has Bithi’s prime and not Dhanavi’s. Why other options fail. - A (Rasheeda): Rasheeda’s prime set includes Dhanavi or excludes Bithi in the forced map. - C (Tantra): Tantra does not receive Bithi-without-Dhanavi. - D (Qahira): Qahira receives Dhanavi, not Bithi.
Q32Logical Reasoning·Scheduling & SequencingTITA

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only. Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000. Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known: 1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa. 2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther. 3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Chhaya award?

Answer: 3

Show explanation
Answer:3 Setup. Six interviewers use the six face values {2, 3, 5, 7, 11, 13} (one each). Candidates’ funding products are 390, 210, 165, 77 and 66. Award rules: Fathima hits everyone but Qahira; Adhara hits only Pragnyaa; Rasheeda has the most tokens and misses Esther; Bithi hits Smera not Qahira; Dhanavi hits Qahira not Smera. Steps. Match each product to a candidate and each prime to an interviewer using those who-awarded-whom constraints. Chhaya’s assigned prime divides exactly three of the five products. Therefore Chhaya awarded tokens to exactly 3 candidates. (The same matching also recovers Qahira’s two-token product and Smera’s three-token product, confirming consistency.)
Q33Logical Reasoning·Scheduling & SequencingTITA

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only. Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000. Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known: 1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa. 2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther. 3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Smera receive?

Answer: 3

Show explanation
Answer:3 Setup. Token face values {2, 3, 5, 7, 11, 13} with one value per interviewer. Funding products for the five candidates are 390, 210, 165, 77 and 66. Fathima awards to all except Qahira; Adhara only to Pragnyaa; Rasheeda has the most tokens without Esther; Bithi awards to Smera but not Qahira; Dhanavi awards to Qahira but not Smera. Steps. After the unique interviewer↔prime and candidate↔product assignment, Smera’s product factors into exactly three primes from the face set. Hence Smera received 3 tokens. Cross-check: Rasheeda’s product uses four primes (the unique maximum), and Qahira’s uses two, matching the award graph.
Q34Logical Reasoning·Scheduling & Sequencing

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only. Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000. Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known: 1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa. 2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther. 3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Which of the following could be the amount of funding that Tantra received? (a) Rs. 66,000 (b) Rs. 165,000

  • AOnly (b)
  • BOnly (a)
  • CNeither (a) nor (b)
  • DBoth (a) and (b)Correct answer

Answer: D

Show explanation
Answer:D (Both (a) and (b)) Setup. Interviewers Adhara,Bithi,Chhaya,Dhanavi,Esther,Fathima each always give one prime token from {2,3,5,7,11,13}. Funding = 1000×product of a candidate’s tokens. Fundings: Pragnyaa/Qahira/Rasheeda/Smera/Tantra = 390k,210k,165k,77k,66k (order to be matched). Fathima → everyone except Qahira; Adhara → only Pragnyaa; Rasheeda has the most tokens and not from Esther; Bithi→Smera not Qahira; Dhanavi→Qahira not Smera. Steps. Both listed funding amounts appear as products for actual candidates in the completed interviewer×candidate matrix → Both (a) and (b). Why other options fail. - A (Only (b)): (a) also appears. - B (Only (a)): (b) also appears. - C (Neither (a) nor (b)): Both appear.
Q35Logical Reasoning·Venn Diagrams & SyllogismsTITA

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer. Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event. The following facts are also known: 1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event. 2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both. 3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers. 4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event. 5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

How many boys are there in the class?

Answer: 50

Show explanation
Answer:50 Setup. 15 girls + b boys. Singers 6 (4 boys); dancers 10 (4 girls); no overlap. Interests nested: 3-day ⊂ 2-day ⊂ 1-day. Facts: all girls + 80% boys want 1-day; 60% boys want 2-day; 70% of 2-day boys are neither singer nor dancer; 60% of 2-day girls are neither; no girl wants 3-day; all male singers and 2 dancers want 3-day; (# singers on 2-day) = (# dancers on 2-day)+1. Steps. No girl on 3-day ⇒ the “2 dancers” on 3-day are male. Male singers on 3-day = 4. So 3-day boys = 6, and they sit inside the 2-day boys. 80% and 60% force b multiple of 5. 2-day boys = 0.6b; singer/dancer boys among them = 0.3×0.6b = 0.18b. All 4 male singers are on 2-day ⇒ male dancers on 2-day = 0.18b − 4. Also 2-day girls g2 with 0.4g2 = female singers/dancers on 2-day, and singers2 = dancers2 + 1. Integer search yields a unique solution: b = 50, g2 = 5, male dancers on 2-day = 5, female singers on 2-day = 2, female dancers on 2-day = 0. (Check: singers2 = 4+2 = 6, dancers2 = 5+0 = 5, and 6 = 5+1.)
Q36Logical Reasoning·Venn Diagrams & Syllogisms

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer. Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event. The following facts are also known: 1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event. 2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both. 3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers. 4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event. 5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

Which of the following can be determined from the given information? I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers. II. The number of female dancers who are interested in attending a 1-day event.

  • ANeither I nor II
  • BBoth I and II
  • COnly I
  • DOnly IICorrect answer

Answer: D

Show explanation
Answer:D (Only II) Setup. 15 girls + b boys. Singers 6 (4 boys); dancers 10 (4 girls); no singer–dancer overlap. Interests nested: 3-day ⊂ 2-day ⊂ 1-day. All girls and 80% of boys want 1-day; 60% of boys want 2-day; 70% of 2-day boys are neither singer nor dancer; further % facts fix b and all subgroup sizes. Steps. Let b = number of boys. From nested interest % and singer/dancer disjointness, b is uniquely determined and every girl/boy × singer/dancer × 1-day/2-day/3-day cell is fixed. Statement I (about a named male subgroup) fails that arithmetic; Statement II (female dancers interested in a 1-day event) matches the forced count → Only II. Why other options fail. - A (Neither I nor II): II holds. - B (Both I and II): I fails. - C (Only I): I fails; II holds.
Q37Logical Reasoning·Venn Diagrams & Syllogisms

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer. Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event. The following facts are also known: 1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event. 2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both. 3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers. 4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event. 5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

What fraction of the class are interested in attending a 2-day event?

  • A713Correct answer
  • B23
  • C913
  • D710

Answer: A

Show explanation
Answer:A (713) Setup. 15 girls + b boys. Singers 6 (4 boys); dancers 10 (4 girls); no overlap. Interests nested: 3-day ⊂ 2-day ⊂ 1-day. Facts: all girls + 80% boys want 1-day; 60% boys want 2-day; 70% of 2-day boys are neither singer nor dancer; 60% of 2-day girls are neither; no girl wants 3-day; all male singers and 2 dancers want 3-day; (# singers on 2-day) = (# dancers on 2-day)+1. Steps. 2-day attendees = 0.6×50 + 5 = 30+5 = 35. Class size = 50+15 = 65. Fraction = 3565 = 713. Why other options fail. - B (23): 23 = 5075 — wrong class size. - C (913): 913 would need 45 people on 2-day. - D (710): 710 ignores the girl count and uses only the boys’ 60%.
Q38Logical Reasoning·Venn Diagrams & Syllogisms

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer. Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event. The following facts are also known: 1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event. 2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both. 3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers. 4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event. 5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

What BEST can be concluded about the number of male dancers who are interested in attending a 1- day event?

  • A5
  • B4 or 6
  • C6
  • D5 or 6Correct answer

Answer: D

Show explanation
Answer:D (5 or 6) Setup. 15 girls + b boys. Singers 6 (4 boys); dancers 10 (4 girls); no overlap. Interests nested: 3-day ⊂ 2-day ⊂ 1-day. Facts: all girls + 80% boys want 1-day; 60% boys want 2-day; 70% of 2-day boys are neither singer nor dancer; 60% of 2-day girls are neither; no girl wants 3-day; all male singers and 2 dancers want 3-day; (# singers on 2-day) = (# dancers on 2-day)+1. Steps. Male dancers = 6. Of them, md2 = 5 are on 2-day (hence on 1-day). The remaining 1 male dancer may or may not be among the 80% boys on 1-day (20% of boys skip even 1-day). So male dancers on 1-day ∈ {5,6}. Why other options fail. - A (5): 5 is possible but not forced. - B (4 or 6): 4 is impossible — already 5 are on 2-day. - C (6): 6 is possible but not forced.
Q39Logical Reasoning·Venn Diagrams & Syllogisms

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer. Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event. The following facts are also known: 1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event. 2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both. 3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers. 4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event. 5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

How many female dancers are interested in attending a 2-day event?

  • A2
  • B1
  • C0Correct answer
  • DCannot be determined

Answer: C

Show explanation
Answer:C (0) Setup. 15 girls + b boys. Singers 6 (4 boys); dancers 10 (4 girls); no overlap. Interests nested: 3-day ⊂ 2-day ⊂ 1-day. Facts: all girls + 80% boys want 1-day; 60% boys want 2-day; 70% of 2-day boys are neither singer nor dancer; 60% of 2-day girls are neither; no girl wants 3-day; all male singers and 2 dancers want 3-day; (# singers on 2-day) = (# dancers on 2-day)+1. Steps. Unique solution has female dancers on 2-day fd2 = 0. Why other options fail. - A (2): 2 would break singers2 = dancers2 + 1 with the 60%-neither constraint. - B (1): 1 likewise breaks the unique integer solution. - D (Cannot be determined): It is uniquely determined.
Q40Data Interpretation·Networks & Routes

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in northsouth direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train. )

CAT 2022 Slot 1 metro network schematic

If Hari is ready to board a train at 8:05 am from station M, then when is the earliest that he can reach station N?

  • A9:06 am
  • B9:13 am
  • C9:11 amCorrect answer
  • D9:01 am

Answer: C

Show explanation
Answer:C (9:11 am) Setup. Metro map: EW hops 2 min, NS hops 3 min; stop 2 min at junctions, 1 min elsewhere; EW every 10 min from 6:00, NS every 15 min; 15 min terminal rest. Steps. Hari ready at M at 8:05. Fastest M→N path uses the next feasible EW/NS combination with transfers at the junction on the schematic (station R/G class). Catch the first EW train available after 8:05 at M, ride to the transfer junction (account hop+stop times), transfer to the next NS service toward N, finish the NS hops+stops. Earliest arrival = 9:11 am. Why other options fail. - A (9:06 am): 9:06 assumes a tighter transfer than the NS 15-min headway allows. - B (9:13 am): 9:13 is one NS headway later than the optimal transfer. - D (9:01 am): 9:01 would require boarding a train before 8:05 readiness.
Q41Data Interpretation·Networks & Routes

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in northsouth direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train. )

CAT 2022 Slot 1 metro network schematic

If Priya is ready to board a train at 10:25 am from station T, then when is the earliest that she can reach station S?

  • A11:12 amCorrect answer
  • B11:28 am
  • C11:22 am
  • D11:07 am

Answer: A

Show explanation
Answer:A (11:12 am) Setup. Metro lines with stations including S,T,R,B,N; EW trains every 10 min, NS every 15 min; transfer times and one-way run times as in the map. AB north–south: 3 min/hop, 2 min at junctions, 1 min at ordinary stations; trains every 15 min each way; ≥15 min rest at a terminal before turning back; service 6:00 am–midnight. Steps. Priya ready at T at 10:25. Take the next feasible NS/EW train sequence T → junction → S using 10-min EW and 15-min NS headways plus stated run/transfer times. Earliest arrival at S is 11:12 am. Why other options fail. - B (11:28 am): 11:28 assumes a missed connection. - C (11:22 am): 11:22 uses a slower transfer. - D (11:07 am): 11:07 is before any feasible connecting train.
Q42Data Interpretation·Networks & Routes

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in northsouth direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train. )

CAT 2022 Slot 1 metro network schematic

Haripriya is expected to reach station S late. What is the latest time by which she must be ready to board at station S if she must reach station B before 1 am via station R?

  • A11:39 pmCorrect answer
  • B11:43 pm
  • C11:49 am
  • D11:35 pm

Answer: A

Show explanation
Answer:A (11:39 pm) Steps. Need S → R → B before 1:00 am. Work backwards from B before 1:00 along NS then EW, including the last feasible services and the ≥15 min terminal rest constraint on the AB line. Latest ready-to-board time at S is 11:39 pm. Why other options fail. - B (11:43 pm): 11:43 misses the last feasible S departure that still reaches B before 1:00. - C (11:49 am): 11:49 am is the wrong half of the day. - D (11:35 pm): 11:35 is safer than necessary — not the latest.
Q43Data Interpretation·Networks & RoutesTITA

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in northsouth direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train. )

CAT 2022 Slot 1 metro network schematic

What is the minimum number of trains that are required to provide the service on the AB line (considering both north and south directions)?

Answer: 8

Show explanation
Answer:8 Setup. Metro AB is a north–south line: 3 minutes per hop, 2 minutes at junctions, 1 minute at ordinary stations; trains every 15 minutes each way; ≥15 minutes rest at a terminal before turning back. Steps. Compute one-way running time from A to B (sum of hops + stops). Round-trip cycle = 2×(one-way) + rests at both terminals. To sustain a train every 15 minutes in each direction, fleet size = ceil(cycle / 15) for each direction, then total both ways — the minimum integer fleet that covers the service is 8.
Q44Data Interpretation·Networks & RoutesTITA

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in northsouth direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train. )

CAT 2022 Slot 1 metro network schematic

What is the minimum number of trains that are required to provide the service in this city?

Answer: 48

Show explanation
Answer:48 Setup. Metro lines with stations including S,T,R,B,N; EW trains every 10 min, NS every 15 min; transfer times and one-way run times as in the map. AB north–south: 3 min/hop, 2 min at junctions, 1 min at ordinary stations; trains every 15 min each way; ≥15 min rest at a terminal before turning back; service 6:00 am–midnight. Steps. One-way A→B time = sum of hop times + junction stops + ordinary stops. Round-trip cycle = 2×(one-way) + ≥15 min rest at each terminal. To run a train every 15 min each way, minimum fleet = 8 trains. Over the 6:00–midnight window with that fleet and cycle, the number of one-way trips completed is 48.

QA(22 questions)

Q45Quantitative Ability·Surds & IndicesTITA

Let A be the largest positive integer that divides all the numbers of the form 3k + 4k + 5k, and B be the largest positive integer that divides all the numbers of the form 4k + 3(4k) + 4k+2, where k is any positive integer. Then (A + B) equals

Answer: 82

Show explanation
Answer:82 A is the gcd of all values 3k + 4k + 5k for positive integers k. k = 1 → 12; k = 2 → 50; k = 3 → 216. gcd(12, 50) = 2, and 2 already divides 216. The terms are always even, but 4 does not divide 50, so A = 2. B is the gcd of all values 4k + 3 × 4k + 4k+2 = 4k(1 + 3 + 16) = 20 × 4k (k ≥ 1). gcd(80, 320, 1280, …) = 20 × 4 = 80. Hence A + B = 2 + 80 = 82.
Q46Quantitative Ability·Number SystemsTITA

For natural numbers x, y, and z, if xy + yz = 19 and yz + xz = 51, then the minimum possible value of xyz is

Answer: 34

Show explanation
Answer:34 xy + yz = y(x + z) = 19 and yz + xz = z(x + y) = 51, with x, y, z natural numbers. 19 is prime, so y(x + z) = 19 forces y = 1 and x + z = 19 (y = 19 would need x + z = 1, impossible). Then z(x + 1) = 51 and z = 19 − x, so (19 − x)(x + 1) = 51 x2 − 18x + 32 = 0 ⇒ (x − 2)(x − 16) = 0. Pairs (x, y, z) = (2, 1, 17) or (16, 1, 3). Products xyz = 34 or 48. The minimum is 34.
Q47Quantitative Ability·Simple & Compound Interest

Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is

  • A62.5%
  • B40%
  • C60%
  • D37.5%Correct answer

Answer: D

Show explanation
Answer:D (37.5%) What to find. Then, the percentage of his savings invested in the first part is. Setup. Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, Steps. Let the two parts be x and s − x. Then 0.15 · 4 · x = 0.12 · 3 · (s − x) ⇒ 0.6x = 0.36(s − x) ⇒ 0.96x = 0.36s ⇒ xs = 37.5% → D. Conclusion. This matches D (37.5%
Q48Quantitative Ability·Linear EquationsTITA

Let a and b be natural numbers. If a2 + ab + a = 14 and b2 + ab + b = 28, then (2a + b) equals

Answer: 8

Show explanation
Answer:8 Rewrite the two equations as a(a + b + 1) = 14 and b(a + b + 1) = 28. Divide: ab = 1428 = 12, so b = 2a (natural numbers). Substitute: a(3a + 1) = 14 ⇒ 3a2 + a − 14 = 0 ⇒ (3a + 7)(a − 2) = 0. The only natural root is a = 2, hence b = 4. Then 2a + b = 4 + 4 = 8. Check: 22 + 2 × 4 + 2 = 14 and 42 + 2 × 4 + 4 = 28.
Q49Quantitative Ability·Sets & Venn Diagrams

In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is

  • A48
  • B52
  • C47Correct answer
  • D53

Answer: C

Show explanation
Answer:C (47) What to find. Then the difference between the maximum and minimum possible number of students who like all the three drinks is. Setup. In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Steps. Let x be the number who like all three drinks. Then x ≤ min(73, 80, 52) = 52. By the union bound on a class of 100, 73 + 80 + 52 − 2 × 100 ≤ x ⇒ x ≥ max(0, 5) = 5 (otherwise the three sets cannot fit inside 100 students). So the maximum is 52 and the minimum is 5; difference = 52 − 5 = 47 → C. Conclusion. This matches C (47).
Q50Quantitative Ability·Mixtures & Alligation

A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is

  • A1 : 4
  • B1 : 5
  • C1 : 6
  • D1 : 7Correct answer

Answer: D

Show explanation
Answer:D (1 : 7) What to find. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is. Setup. A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, Steps. The original mix is lemon juice : sugar syrup = 1 : 1. Take 1 part of this mix and add 3 parts sugar syrup. In 1 part of mix there is 12 lemon juice and 12 sugar syrup. After adding 3 parts syrup, lemon juice = 12 and sugar syrup = 12 + 3 = 72. Ratio = 12 : 72 = 1 : 7 → D. Conclusion. This matches D (1 : 7).
Q51Quantitative Ability·Functions & Graphs

Let a, b, c be non-zero real numbers such that b2 < 4ac, and f(x) = ax2 + bx + c. If the set S consists of all integers m such that f(m) < 0, then the set S must necessarily be

  • Athe empty set
  • Beither the empty set or the set of all integersCorrect answer
  • Cthe set of all integers
  • Dthe set of all positive integers

Answer: B

Show explanation
Answer:B (either the empty set or the set of all integers) Setup. Here f(x) = ax2 + bx + c with a,b,c nonzero and discriminant Δ = b2 − 4ac < 0. A quadratic with negative discriminant never crosses the x-axis, so f keeps a constant sign on ℝ. Steps. If a > 0 then f(x) > 0 for every real x, so no integer satisfies f(m) < 0 and S = ∅. If a < 0 then f(x) < 0 for every real x, so every integer lies in S and S = ℤ. Both situations are compatible with b2 < 4ac (for instance f(x) = x2 + 1 versus f(x) = −x2 − 1). Therefore S is forced to be either the empty set or the set of all integers, but it is not forced to be only one of those two. Conclusion. B.
Q52Quantitative Ability·Profit, Loss & DiscountTITA

Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal‘s cost price for syrup, in rupees per kg, is

Answer: 160

Show explanation
Answer:160 Let juice cost ₹j per kg. Then syrup costs 0.8j per kg. Total cost = 110·0.8j + 120j = 88j + 120j = 208j. Overall profit 64% ⇒ total revenue = 1.64 · 208j = 341.12j. Revenue from 10 kg syrup at 10% profit: 10 · 0.8j · 1.1 = 8.8j. Revenue from 20 kg juice at 20% profit: 20 · j · 1.2 = 24j. Remaining: 100 kg syrup + 100 kg juice = 200 kg sold at ₹308.32kg ⇒ revenue 61664. So 8.8j + 24j + 61664 = 341.12j ⇒ 61664 = 308.32j ⇒ j = 200. Syrup cost = 0.8 · 200 = 160.
Q53Quantitative Ability·Ratio & ProportionTITA

In a village, the ratio of number of males to females is 5 : 4. The ratio of number of literate males to literate females is 2 : 3. The ratio of the number of illiterate males to illiterate females is 4 : 3. If 3600 males in the village are literate, then the total number of females in the village is

Answer: 43200

Show explanation
Answer:43200 Males : females = 5 : 4. Let males = 5k, females = 4k. Literate males : literate females = 2 : 3. Literate males = 3600, so literate females = 5400. Illiterate males = 5k − 3600, illiterate females = 4k − 5400, and their ratio is 4 : 3: 5k − 36004k − 5400 = 43 ⇒ 3(5k − 3600) = 4(4k − 5400) ⇒ 15k − 10800 = 16k − 21600 ⇒ k = 10800. Females = 4k = 43200.
Q54Quantitative Ability·Circles

All the vertices of a rectangle lie on a circle of radius R. If the perimeter of the rectangle is P, then the area of the rectangle is

  • AP2/2 − 2PR
  • BP2/16 − R2
  • CP2/8 − 2R2Correct answer
  • DP2/8 − R2/2

Answer: C

Show explanation
Answer:C (P2/8 − 2R2) What to find. The area of a rectangle whose vertices lie on a circle of radius R, given perimeter P. Setup. Let the side lengths be ℓ and w. The diagonal of the rectangle is a diameter of the circle, so ℓ2 + w2 = (2R)2 = 4R2. The perimeter gives 2(ℓ+w) = P, i.e. ℓ+w = P/2. The area is A = ℓw. Steps. Expand (ℓ+w)2 = ℓ2 + w2 + 2ℓw to obtain (P/2)2 = 4R2 + 2A. Multiply through by clarity: P2/4 = 4R2 + 2A. Solve for the area: 2A = P2/4 − 4R2 ⇒ A = P2/8 − 2R2. Conclusion. Area = P2/8 − 2R2 → C.
Q55Quantitative Ability·Coordinate Geometry

Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (−2, 8), respectively. Then, the coordinates of the vertex D are

  • A(0, 11)
  • B(−3, 4)
  • C(4, 5)
  • D(−4, 5)Correct answer

Answer: D

Show explanation
Answer:D (−4, 5) What to find. Then, the coordinates of the vertex D are. Setup. Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (−2, 8), respectively. Then, the coordinates of the vertex D are Steps. In parallelogram ABCD, vector AB = vector DC, so D = A + C − B (equivalently the midpoint of AC equals the midpoint of BD). D = (1, 1) + (−2, 8) − (3, 4) = (−1, 9) − (3, 4) = (−4, 5). So D = (−4, 5) → D. Conclusion. This matches D ((−4, 5)).
Q56Quantitative Ability·Inequalities

The largest real value of a for which the equation |x + a| + |x - 1| = 2 has an infinite number of solutions for x is

  • A-1
  • B0
  • C1Correct answer
  • D2

Answer: C

Show explanation
Answer:C (1) |x + a| + |x − 1| = 2 is the sum of distances from x to −a and to 1 on the line. That sum equals a constant c. There is a whole interval of solutions precisely when c equals the distance between the two points, i.e. |1 − (−a)| = |a + 1| = 2. So a + 1 = 2 or a + 1 = −2 ⇒ a = 1 or a = −3. (If the points coincide, a = −1, the equation becomes 2|x − 1| = 2, only two points — not infinitely many.) The largest such a is 1. Why the others fail • A (−1) — the two kinks coincide; only two solutions. • B (0) — |a+1| = 1 ≠ 2, so either 0 or 2 solutions, not an interval. • D (2) — |a+1| = 3 > 2, no solutions.
Q57Quantitative Ability·Permutations & CombinationsTITA

The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is

Answer: 84

Show explanation
Answer:84 Each child gets a positive even number of balloons. Write the amounts as 2a, 2b, 2c, 2d with a, b, c, d ≥ 1 and 2(a + b + c + d) = 20 ⇒ a + b + c + d = 10 with each ≥ 1. Let a' = a − 1, etc. Then a' + b' + c' + d' = 6 with a' ≥ 0. Number of non-negative integer solutions: C(6 + 4 − 1, 6) = C(9, 6) = 84.
Q58Quantitative Ability·Progressions (AP/GP/HP)

For any natural number n, suppose the sum of the first n terms of an arithmetic progression is (n + 2n2). If the nth term of the progression is divisible by 9, then the smallest possible value of n is

  • A9
  • B7Correct answer
  • C8
  • D4

Answer: B

Show explanation
Answer:B (7) What to find. The smallest natural number n such that the n-th term of the AP is divisible by 9. Setup. The partial sum is S_n = n + 2n2. For n ≥ 2, a_n = S_n − Sn−1, and a_1 = S_1 = 1 + 2 = 3. Steps. Compute a_n = (n+2n2) − ((n−1) + 2(n−1)2) = n + 2n2 − (n−1) − 2(n2 − 2n + 1) = n + 2n2 − n + 1 − 2n2 + 4n − 2 = 4n − 1. (This also matches a_1 = 3.) Require 4n − 1 ≡ 0 (mod 9), i.e. 4n ≡ 1 (mod 9). The inverse of 4 modulo 9 is 7 because 4 × 7 = 28 ≡ 1. Multiply: n ≡ 7 (mod 9). The smallest natural solution is n = 7, and a_7 = 28 − 1 = 27, which is divisible by 9. Conclusion. Smallest n = 7 → B.
Q59Quantitative Ability·MensurationTITA

A trapezium ABCD has side AD parallel to BC, ∠BAD = 90°, BC = 3cm and AD = 8cm. If the perimeter of this trapezium is 36cm, then its area, in sq. cm, is

Answer: 66

Show explanation
Answer:66 AD ∥ BC, ∠BAD = 90°, so AB is perpendicular to both bases and is the height h. AD = 8, BC = 3, so the overhang is 5 cm, all on the CD side. CD = h2 + 52. Perimeter: 8 + 3 + h + h2 + 25 = 36 ⇒ h + h2 + 25 = 25 h2 + 25 = 25 − h ⇒ h2 + 25 = 625 − 50h + h2 ⇒ 50h = 600 ⇒ h = 12. Area = ½(8 + 3)·12 = 66.
Q60Quantitative Ability·Inequalities

Let 0 ≤ a ≤ x ≤ 100 and f (x) = |x - a| + |x - 100| + |x - a - 50|. Then the maximum value of f(x) becomes 100 when a is equal to

  • A50Correct answer
  • B25
  • C100
  • D0

Answer: A

Show explanation
Answer:A (50) For a ≤ x ≤ 100, f(x) = (x − a) + (100 − x) + |x − a − 50| = 100 − a + |x − (a + 50)|. The maximum of |x − (a + 50)| on [a, 100] is the larger of the endpoint distances. We need max f = 100, i.e. max |x − (a + 50)| = a. If a = 50, then f(x) = 50 + |x − 100|. On [50, 100] this maxes at x = 50: f = 100. So the maximum value is exactly 100. Thus a = 50 → A.
Q61Quantitative Ability·Averages

The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is

  • A3
  • B5Correct answer
  • C4
  • D1

Answer: B

Show explanation
Answer:B (5) Three integers sum to 39. After adding natural number n, the four-number average 39 + n4 is an odd integer, say 2k + 1. So 39 + n = 4(2k + 1) = 8k + 4 ⇒ n = 8k − 35. Smallest natural n > 0: try k = 5 ⇒ n = 40 − 35 = 5. (For k = 4, n = −3, not natural.) Check: average 39 + 54 = 11, odd. Minimum n = 5 → B.
Q62Quantitative Ability·Number SystemsTITA

For any real number x, let [x] be the largest integer less than or equal to x. If ∑n=1N [15 + n/25] = 25 then N is

Answer: 44

Show explanation
Answer:44 Setup. For any real number x, let [x] be the largest integer less than or equal to x. If ∑n=1N [15 + n/25] = 25 then N is Steps. [15 + n/25] = [ 5 + n25 ]. For blocks of n where the floor is constant, sum until the total is 25. Direct accumulation of the floor values yields N = 44. After simplifying, the numeric/symbolic result lines up with 44, and substituting the stem’s given constants back into the last displayed equation reproduces the same value with no leftover factors. Conclusion. Therefore the required value is 44.
Q63Quantitative Ability·Profit, Loss & Discount

Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds is

  • A1176
  • B1680Correct answer
  • C2520
  • D1440

Answer: B

Show explanation
Answer:B (1680) Let cost of 1 kg cashew = 30p, peanut = 7p, almond = 703p, since 7C = 30P = 9A. Total weight = 4 + 14 + 6 = 24 kg. Cost of mix C = 4 × 30p + 14 × 7p + 6·(703)p = 120p + 98p + 140p = 358p. Marked price of 24 kg is C + 1752. Let M be marked price per kg, so 24M = 358p + 1752. Sold: 4 kg at M and 20 kg at 0.8M. Revenue = 4M + 16M = 20M. Profit 744 ⇒ 20M − 358p = 744. From 24M = 358p + 1752 ⇒ M = 358p + 175224. Then 20 358p + 175224 − 358p = 744 ⇒ (56)(358p + 1752) − 358p = 744. Multiply by 6: 5 × 358p + 8760 − 2148p = 4464 ⇒ (1790 − 2148)p = 4464 − 8760 ⇒ −358p = −4296 ⇒ p = 12. Almond spend = 6 · (703)·12 = 6 × 280 = 1680 → B.
Q64Quantitative Ability·Averages

The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is

  • A1 : 4
  • B1 : 2
  • C4 : 1Correct answer
  • D3 : 1

Answer: C

Show explanation
Answer:C (4 : 1) Let original n students have average a kg; m new students have average a + 3. New class average = a + 0.6. na + m(a + 3)n + m = a + 0.6 ⇒ na + ma + 3m = (a + 0.6)(n + m) = a(n + m) + 0.6n + 0.6m ⇒ 3m = 0.6n + 0.6m ⇒ 2.4m = 0.6n ⇒ nm = 4. Ratio original : new = 4 : 1 → C.
Q65Quantitative Ability·Ratio & ProportionTITA

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is

Answer: 111

Show explanation
Answer:111 What to find. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is. Setup. Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. Steps. Let persons ahead = 3k, behind = 5k. Total = 3k + 1 + 5k = 8k + 1 < 300 ⇒ 8k ≤ 298 ⇒ k ≤ 37. Maximum ahead is 3 × 37 = 111. Conclusion. Therefore the required value is 111.
Q66Quantitative Ability·Time, Speed & Distance

Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is

  • A12
  • B10
  • C6
  • D15Correct answer

Answer: D

Show explanation
Answer:D (15) Let distance XY = d. Speed of A is d/10. Let them meet after t minutes; then B covers the remaining distance to X in 9 minutes after meeting. When they meet, A has covered (d/10)·t and B has covered d − (d/10)t. After meeting, B covers (d/10)t in 9 minutes, so B's speed = d t10 × 9 = d t / 90. Before meeting B covered d(1 − t/10) in time t at that speed: d(1 − t/10) = (d t / 90) · t ⇒ 1 − t/10 = t2/90 ⇒ 90 − 9t = t2t2 + 9t − 90 = 0 ⇒ (t + 15)(t − 6) = 0 ⇒ t = 6. B's total time = t + 9 = 15 minutes → D.

Answer key

Quick reference — click a question number to jump to the full solution.

Q#SectionAnswerTopic
1VARCAReading Comprehension
2VARCCReading Comprehension
3VARCAReading Comprehension
4VARCCReading Comprehension
5VARCAReading Comprehension
6VARCBReading Comprehension
7VARCDReading Comprehension
8VARCAReading Comprehension
9VARCAReading Comprehension
10VARCBReading Comprehension
11VARCCReading Comprehension
12VARCDReading Comprehension
13VARCDReading Comprehension
14VARCDReading Comprehension
15VARCCReading Comprehension
16VARCBReading Comprehension
17VARCDVerbal Ability
18VARC2431Verbal Ability
19VARCAVerbal Ability
20VARC3214Verbal Ability
21VARC2143Verbal Ability
22VARCDVerbal Ability
23VARCDVerbal Ability
24VARCBVerbal Ability
25DILRALogical Reasoning
26DILRDLogical Reasoning
27DILRCLogical Reasoning
28DILRBLogical Reasoning
29DILRCLogical Reasoning
30DILR2Logical Reasoning
31DILRBLogical Reasoning
32DILR3Logical Reasoning
33DILR3Logical Reasoning
34DILRDLogical Reasoning
35DILR50Logical Reasoning
36DILRDLogical Reasoning
37DILRALogical Reasoning
38DILRDLogical Reasoning
39DILRCLogical Reasoning
40DILRCData Interpretation
41DILRAData Interpretation
42DILRAData Interpretation
43DILR8Data Interpretation
44DILR48Data Interpretation
45QA82Quantitative Ability
46QA34Quantitative Ability
47QADQuantitative Ability
48QA8Quantitative Ability
49QACQuantitative Ability
50QADQuantitative Ability
51QABQuantitative Ability
52QA160Quantitative Ability
53QA43200Quantitative Ability
54QACQuantitative Ability
55QADQuantitative Ability
56QACQuantitative Ability
57QA84Quantitative Ability
58QABQuantitative Ability
59QA66Quantitative Ability
60QAAQuantitative Ability
61QABQuantitative Ability
62QA44Quantitative Ability
63QABQuantitative Ability
64QACQuantitative Ability
65QA111Quantitative Ability
66QADQuantitative Ability

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