CAT 2025 Question Paper with Answer Key for Slot 3

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CAT 2025
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CAT 2025 Question Paper Slot 3

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Common Admission Test — Solved Question Paper (Slot 3)

3 Sections • VARC · DI&LR · QA • 68 Questions • MCQ + TITA (Type In The Answer)

Instructions: Each section has its own question numbering. MCQs have four options — choose one. TITA questions have no
options; type the numeric/word answer. Reading-comprehension passages and DI&LR set data appear in shaded boxes above their
questions. The answer key is at the end.
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Section I — Verbal Ability & Reading Comprehension (VARC)
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24 questions
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1.
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The passage given below is followed by four summaries. Choose the option that best captures the
essence of the passage.

In investigating memory-beliefs, there are certain points which must be borne in mind. In the first
place, everything constituting a memory-belief is happening now, not in that past time to which the
belief is said to refer. It is not logically necessary to the existence of a memory-belief that the event
remembered should have occurred, or even that the past should have existed at all. There is no logical
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impossibility in the hypothesis that the world sprang into being five minutes ago, exactly as it then was,

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with a population that "remembered" a wholly unreal past. There is no logically necessary connection

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between events at different times; therefore nothing that is happening now or will happen in the future
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can disprove the hypothesis that the world began five minutes ago. Hence the occurrences which are
a independent of the past; they are wholly analysable into
CALLED knowledge of the past are logically
present contents, which might, theoretically, be just what they are even if no past had existed.
1. When investigating memory beliefs, we must 2. Memory-beliefs depend wholly on what is
keep in mind that an actual past event is not a remembered in the present, and not on
prerequisite for a memory-belief to exist, and anything else; just as it is not logically
that what we know of the past could impossible that the world came into being five
theoretically not need a past at all.
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minutes ago, and that everyone now just

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remembers a wholly imaginary past for it.

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3. 4.
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When we discuss the concept of memory-

s e logically independent of the past, since the act
la for the event remembered
beliefs, we must understand that it is not
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logically impossible

a happens in the present, and does not need to
be based in real past occurrences, or even
to have never happened at all; it could just be
a figment of our imagination.
need a past at all.

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2. The given sentence is missing in the paragraph below. Decide where it best fits among the options 1, 2,
3, or 4 indicated in the paragraph.

Sentence: In each of the affected males, the genetic defect was located to the X chromosome in the
region of p11-12.

Paragraph: The first suggested evidence of a human genetic mutation associated with aggressive
behaviour came from a study in 1993. _____(1)____. Genetic and metabolic studies were conducted
on a large Dutch family in which several of the males has a syndrome of borderline mental retardation
and abnormal behaviour. _____(2)____. The undesirable behaviour included impulsive aggression,
arson and exhibitionism. _____(3)____. A point mutation was identified in the eighth exon of the
monoamine oxidase A (MAOA) structural gene which changes glutamine to a termination codon.
_____(4)____.
1. Option 2 2. Option 3
3. Option 1 4. Option 4

3. The four sentences (labelled 1, 2, 3, and 4) given 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. When I ask the distinguished LGBTQ activist and writer Cherie Moraga whether she uses Latinx
to refer to herself, she tells me, 'I worked too hard for the "a" in Latina to give it up! I refer to
myself as Xicana.'
2. Of our accumulated ethnic population, only a third use Hispanic to identify themselves, a mere 14
percent use Latino, and less than 2 percent recognize Latinx.
3. They have done this, although gender in languages is grammatical, not sociological or sexual, and
found in linguistic families throughout the world, from French to Russian to Japanese.
4. More recently, activists seeking to render our name gender neutral, out of respect for our LGBTQ
members, have devised yet another name for us: Latinx.

(TITA — type in your answer)

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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

Over the course of the twentieth century, humans built, on average, one large dam a day, hulking
structures of steel and concrete designed to control flooding, facilitate irrigation, and generate
electricity. Dams were also lucrative contracts, large-scale employers, and the physical instantiation of a
messianic drive to conquer territories and control nature. Some of the results of that drive were
charismatic mega-infrastructure—the Hoover on the Colorado River or the Aswan on the Nile—but most
of the tens of thousands of dams that dot the Earth's landscape have drawn little attention. These are the
smaller, though not inconsequential, barriers that today impede the flow of water on nearly two-thirds of
the world's large waterways. Chances are, what your map calls a "lake" is actually a reservoir, and that
thin blue line that emerges from it once flowed very differently.
Damming a river is always a partisan act. Even when explicit infrastructure goals—irrigation, flood
control, electrification—were met, other consequences were significant and often deleterious. Across the
world, river control displaced millions of people, threatening livelihoods, foodways, and cultures. In the
western United States, dams were often an instrument of colonialism, used to dispossess Indigenous
people and subsidize settler agriculture. And as dams slowed the flow of water, inhibited the movement
of nutrients, and increased the amount of toxic algae and other parasites, they snuffed out entire river
ecologies. Declining fish populations are the most evident effect, but dams also threaten a host of other
animals—from birds and reptiles to fungi and plants—with extinction. Every major dam, then, is also a
sacrifice zone, a place where lives, livelihoods, and ways of life are eliminated so that new sorts of
landscapes can support water-intensive agriculture and cities that sprout downstream of new reservoirs.

Such sacrifices have been justified as offerings at the temples of modernity. Justified by—and for—
whom, though? Over the course of the twentieth century, rarely were the costs and benefits weighed
thoughtfully and decided democratically. As Kader Asmal, chair of the landmark 2000 World
Commission on Dams, concluded, "There have been precious few, if any, comprehensive, independent
analyses as to why dams came about, how dams perform over time, and whether we are getting a fair
return from our $2 trillion investment." A quarter-century later, Asmal's words ring ever truer. A litany
of dams built in the mid-twentieth century are approaching the end of their expected lives, with
worrying prospects for their durability. Droughts, magnified and multiplied by the effects of climate
change, have forced more and more to run below capacity. If ever there were a time to rethink the mania
for dams, it would be now.
There is some evidence that a combination of opposition, alternative energy sources, and a lack of viable
projects has slowed the construction of major dams. But a wave of recent and ongoing construction,
from India and China to Ethiopia and Canada, continues to tilt the global balance firmly in favor of
water impoundment.

4. Which one of the following sets of terms is closest to mapping the key arguments of the passage?
1. Lucrative contracts - Sacrifice zone - Expected 2. Partisan act - Threatened livelihoods - Toxic
lives - Global balance algae - Quarter century
3. Mega-infrastructure - Sacrifice zone - 4. Physical instantiation - Partisan act - Decided
Worshipping modernity - Water democratically - Alternative energy
impoundment

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All of the following statements may be considered valid inferences from the passage EXCEPT that:

se g laof colonisation have used dam-
smaller, though not inconsequential, dams
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processes
1. 2.
are safer than large dam projects. building
territories.
3. despite increasing evidence of opposition to 4. dam-building has proved to be an extremely
dams as well as alternatives to them, they costly enterprise that may not be justifiable.
continue to be built.

6. The word "instantiation" is used in the first paragraph. Which one of the following pairs of terms would
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be the best substitute for it in the context of its usage in the paragraph?
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Exemplification and manifestation 2. Development and construction
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3. Durability and timeliness Concreteness and viability
4.

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7.
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What does the author wish to communicate by referring to the Hoover and Aswan dams in the first
paragraph?
1. By building dams like the Hoover and Aswan 2. The designers and builders of these mega-
dams, large-scale employers became structures were highly charismatic
messianic figures. individuals.
3. The Colorado and Nile rivers may be seen as 4. The drive to control nature is evident not only
thin blue lines on a map.
m in mega-infrastructures like the Hoover and
c. o Aswan dams, but in smaller dams as well.
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The given sentence is missing in the paragraph
3, or 4 indicated in the paragraph. a
Sentence: Productivity gains, once expected to feed through to broader living standards, now primarily
serve to enhance returns to wealth.

Paragraph: Economists now argue that inequality is no longer a by-product of growth but a condition of
it. ____ (1) ____. Unlike wages, wealth reflects not just income but also access to assets, favourable
institutional conditions - such as low interest rates and public policies like low taxes and housing m
om does not. It's not just the inequality itself that is the issue but the erosion
shortages. ____ (2) ____. In other words, wealth depends on political choices in ways that income
c. currently m of mechanisms that .co
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l a but where wages have
la stagnated and collective bargaining has weakened, capital income - derived a from profits, rents and
ag interest - has been boosted by design. ____ (4) ____.
1. Option 1 2. Option 2
3. Option 3 4. Option 4

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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

Imagine a world in which artificial intelligence is entrusted with the highest moral responsibilities:
sentencing criminals, allocating medical resources, and even mediating conflicts between nations. This
might seem like the pinnacle of human progress: an entity unburdened by emotion, prejudice or
inconsistency, making ethical decisions with impeccable precision. . . . Yet beneath this vision of an
idealised moral arbiter lies a fundamental question: can a machine understand morality as humans do,
or is it confined to a simulacrum of ethical reasoning? AI might replicate human decisions without
improving on them, carrying forward the same biases, blind spots and cultural distortions from human
moral judgment. In trying to emulate us, it might only reproduce our limitations, not transcend them.
But there is a deeper concern. Moral judgment draws on intuition, historical awareness and context -
qualities that resist formalisation. Ethics may be so embedded in lived experience that any attempt to
encode it into formal structures risks flattening its most essential features. If so, AI would not merely
reflect human shortcomings; it would strip morality of the very depth that makes ethical reflection
possible in the first place.
Still, many have tried to formalise ethics, by treating certain moral claims not as conclusions, but as
starting points. A classic example comes from utilitarianism, which often takes as a foundational axiom
the principle that one should act to maximise overall wellbeing. From this, more specific principles can
be derived, for example, that it is right to benefit the greatest number, or that actions should be judged
by their consequences for total happiness. As computational resources increase, AI becomes increasingly
well-suited to the task of starting from fixed ethical assumptions and reasoning through their
implications in complex situations.

But what, exactly, does it mean to formalise something like ethics? The question is easier to grasp by
looking at fields in which formal systems have long played a central role. Physics, for instance, has relied
on formalisation for centuries. There is no single physical theory that explains everything. Instead, we
have many physical theories, each designed to describe specific aspects of the Universe: from the
behaviour of quarks and electrons to the motion of galaxies. These theories often diverge. Aristotelian
physics, for instance, explained falling objects in terms of natural motion toward Earth's centre;
Newtonian mechanics replaced this with a universal force of gravity. These explanations are not just
different; they are incompatible. Yet both share a common structure: they begin with basic postulates -
assumptions about motion, force or mass - and derive increasingly complex consequences. . . .
Ethical theories have a similar structure. Like physical theories, they attempt to describe a domain - in
this case, the moral landscape. They aim to answer questions about which actions are right or wrong,
and why. These theories also diverge and, even when they recommend similar actions, such as giving to
charity, they justify them in different ways. Ethical theories also often begin with a small set of
foundational principles or claims, from which they reason about more complex moral problems.

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9. All of the following can reasonably be inferred from the passage EXCEPT:
1. with fixed moral starting points and 2. by analogy with physics, compact postulates
expanding computational resources, the can yield broad predictions across
argument forecasts convergence on one incompatible theories and ethics can likewise
ethical system and treats contextual share structure while continuing to diverge
judgement as unnecessary once formal rather than close on a single comprehensive
reasoning scales across domains and cultures. framework.
3. the appeal of an AI judge rests on immunity 4. encoding ethics into fixed structures risks
to bribery, partiality, and fatigue; yet the text stripping away intuition, history, and context
questions whether procedural cleanliness and, if that occurs, the depth that enables
amounts to moral understanding without reflective judgement disappears. So, machines
lived context and interpretive depth. would mirror our limits rather than exceed
them.

10. Which one of the options below best summarises the passage?
1. The passage highlights administrative gains 2. The passage rejects formal methods in
from automation. It treats reproducing principle. It holds that moral judgement
human moral judgement as progress and cannot be expressed in disciplined terms and
argues that, as computational resources concludes that AI should not serve in courts,
increase, AI can be responsible for decision- medicine, or diplomacy under any conditions.
making across varied institutional settings.
3. The passage weighs the appeal of an 4. The passage weighs the appeal of an
impersonal AI judge against doubts about impersonal AI judge against doubts about
moral grasp. It warns that codification can moral grasp. It claims codified schemes retain
erode case-sensitive judgement, allow axiom- case nuance at scale and uses a physics
led reasoning at scale, and use a physics analogy to predict convergence on a unified
analogy to model structured plurality. framework.

11. Choose the one option below that comes closest to being the opposite of "utilitarianism".
1. The council followed a prioritarian approach, 2. The authors advocated an absolutist stance,
assigning greater moral weight to following exceptionless rules regardless of
improvements for the worst-off rather than to outcomes and evaluating choices by broadest
maximising total welfare across the affected societal benefit.
population.
3. The committee adopted a non-egoist 4. The policy was cast as deontological ethics,
framework, ranking policies by their selecting the option that delivered the highest
contribution to overall social welfare and total benefit to citizens while presenting duty
treating self-interest as a derivative concern as a secondary consideration in public
within institutional evaluation. decision-making.

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must hold for that comparison to guide practice? a
1. Once formalised, all ethical frameworks yield 2. A single master framework replaces all others
the same recommendation in every case, so after translation into one code, so domain
selection among them is unnecessary. boundaries disappear in application.
3. Real cases never straddle different areas, so a 4. There is a principled way to decide which
case always fits exactly one framework ethical framework applies to which class of
without any overlap whatsoever. cases, so the system can select the relevant
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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

Once a society accepts a secular mode of creativity, within which the creator replaces God, imaginative
transactions assume a self-conscious form. The tribal imagination, on the other hand, is still to a large
extent dreamlike and hallucinatory. It admits fusion between various planes of existence and levels of
time in a natural and artless manner. In tribal stories, oceans fly in the sky as birds, mountains swim in
water as fish, animals speak as humans and stars grow like plants. Spatial order and temporal sequence
do not restrict the narrative. This is not to say that tribal creations have no conventions or rules, but
simply that they admit the principle of association between emotion and the narrative motif. Thus stars,
seas, mountains, trees, men and animals can be angry, sad or happy.

It might be said that tribal artists work more on the basis of their racial and sensory memory than on the
basis of a cultivated imagination. In order to understand this distinction, we must understand the
difference between imagination and memory. In the animate world, consciousness meets two immediate
material realities: space and time. We put meaning into space by perceiving it in terms of images. The
image-making faculty is a genetic gift to the human mind—this power of imagination helps us
understand the space that envelops us. With regard to time, we make connections with the help of
memory; one remembers being the same person today as one was yesterday.

The tribal mind has a more acute sense of time than the sense of space. Somewhere along the history of
human civilization, tribal communities seem to have realized that domination over territorial space was
not their lot. Thus, they seem to have turned almost obsessively to gaining domination over time. This
urge is substantiated in their ritual of conversing with their dead ancestors: year after year, tribals in
many parts of India worship terracotta or carved-wood objects representing their ancestors, aspiring to
enter a trance in which they can converse with the dead. Over the centuries, an amazingly sharp memory
has helped tribals classify material and natural objects into a highly complex system of knowledge. . . .

One of the main characteristics of the tribal arts is their distinct manner of constructing space and
imagery, which might be described as 'hallucinatory'. In both oral and visual forms of representation,
tribal artists seem to interpret verbal or pictorial space as demarcated by an extremely flexible 'frame'.
The boundaries between art and non-art become almost invisible. A tribal epic can begin its narration
from a trivial everyday event; tribal paintings merge with living space as if the two were one and the
same. And within the narrative itself, or within the painted imagery, there is no deliberate attempt to
follow a sequence. The episodes retold and the images created take on the apparently chaotic shapes of
dreams. In a way, the syntax of language and the grammar of painting are the same, as if literature were
painted words and painting were a song of images.

13. Which one of the following best explains why tribals in India worship their dead ancestors?
1. Tribals show respect to their ancestors 2. Tribals seek territorial domination over the
through terracotta and carved-wood objects. spaces that they inhabit.
3. For tribals, conversing with the dead becomes 4. Tribals possess a sophisticated knowledge
a way of seeking control over time. system that is based on memory.

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14. All of the following, if true, would weaken the passage's claims about the hallucinatory tribal
imagination EXCEPT that:
1. tribal stories depict the natural world in 2. tribal narratives exhibit a chronological
accordance with rational scientific knowledge. beginning, middle, and end.
3. shamanic rituals involving conversing with 4. tribal art excludes the depiction of the
the dead often feature in tribal stories. mundane reality of everyday life and objects.

15. Non-human living forms exhibit human emotions in tribal narratives because tribal narratives:
1. have a self-conscious form. 2. abandon all rules and regulations.
3. are rudimentary and underdeveloped. 4. accommodate existential fluidity.

16. On the basis of the passage, which one of the following explains the main difference between
imagination and memory?
1. Imagination needs to be cultivated whereas 2. Imagination helps humans make sense of
memory is more intuitive because it is racial space while memory helps them understand
and sensory. time.
3. Imagination is a genetic gift to humans 4. Tribal groups value memory over imagination
whereas memory is central to human when it comes to creating art and literature.
consciousness.

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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

In 1982, a raging controversy broke out over a forest act drafted by g
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sought to strengthen the already extensive powers enjoyed by the forest bureaucracy in controlling the
extraction, disposal and sale of forest produce. It also gave forest officials greater powers to strictly
regulate the entry of any person into reserved forest areas. While forest officials justified the act on the
grounds that it was necessary to stop the continuing deforestation, it was bitterly opposed by
representatives of grassroots organisations, who argued that it was a major violation of the rights of
peasants and tribals living in and around forest areas. . . .

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The debate over the draft forest act fuelled a larger controversy over the orientation of state forest policy.
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It was pointed out, for example, that the draft act was closely modelled on its predecessor, the Forest Act
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of 1878. The earlier Act rested on a usurpation of rights of ownership by the colonial state which had
em history. It was further argued that the system of forestry introducedgbylathes
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little precedent in precolonial
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British—and continued,
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commercial exploitation, while its policing orientation excluded villagers who had the most longstanding
claim on forest resources. Critics called for a complete overhaul of forest administration, pressing the
government to formulate policy and legislation more appropriate to present needs. . . .

That debate is not over yet. The draft act was shelved, though it has not as yet been formally withdrawn.
Meanwhile, the 1878 Act (as modified by an amendment in 1927) continues to be in operation. In
response to its critics, the government has made some important changes in forest policy, e.g., no longer
treating forests as a source of revenue, and stopping ecologically hazardous practices such as the

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clearfelling of natural forests. At the same time, it has shown little inclination to meet the major demand
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of the critics of forest policy—namely, abandoning the principle of state monopoly over forest land by
e and communities for afforestation.
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handing over areas of degraded forests to individuals
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. . . [The] 1878 Forest Act itself was passed only
bureaucracy, in which protagonists put forward arguments strikingly similar to those being advanced
today. As is well known, the Indian Forest Department owes its origin to the requirements of railway
companies. The early years of the expansion of the railway network, c. 1853 onwards, led to tremendous
deforestation in peninsular India owing to the railway's requirements of fuelwood and construction
timber. Huge quantities of durable timbers were also needed for use as sleepers across the newly laid
tracks. Inexperienced in forestry, the British called in German experts to commence systematic forest
management. The Indian Forest Department was started in 1864, with Dietrich Brandis, formerly a
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Lecturer at Bonn, as the first Inspector General of Forests. The new department needed legislative

c. o to function effectively, and in the following year, 1865, the first forest actsewas
backing

s em All of the following, if true, would weaken the narrative presented in theglpassage
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1. before British rule, peasants and tribal groups
2.

nineteenth century India was met through were denied access to forest resources by
import from China, in exchange for spices. Indian rulers and their administrations.
3. certain tribal groups in India are responsible 4. nineteenth century German forestry experts
for climate change because their sustenance were infamous for violating the rights of
has historically depended on mass scale indigenous communities that lived in forest
deforestation. regions.
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18. Which one of the following best encapsulates the reason for the "raging controversy" developing into a
"larger controversy"?
1. The 1982 draft forest act violated the rights of 2. The 1982 draft forest act was unjustifiably
tribals and peasants who lived in and around defended by forest officials in the face of
forest areas. bitter opposition by grassroots organisations.
3. The 1982 draft forest act further enabled the 4. The 1982 draft forest act replicated colonial
commercial exploitation of forest resources by measures of control and regulation of forest
the forest bureaucracy. resources.

19. According to the passage, which one of the following reforms is yet to happen in India's forest policies?
1. Recognising the significance of forests to 2. Recognising the state's claim to forest land
ecology. use.
3. Involving local people in cultivating forests. 4. A ban on deforestation.

20. According to the passage, which one of the following is not common to the 1878 Forest Act and the 1982
draft forest act?
1. Both reflect a colonial mindset. 2. Both resulted in large scale deforestation.
3. Both sparked controversy and debate among 4. Both sought to establish the state's monopoly
the various stakeholders. over forest resources.

21. Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can
be put together to form a coherent paragraph. Identify the odd sentence out and key in the number of
that sentence as your answer.

1. About half of all the oxygen we breathe is made near the surface of the ocean by phytoplankton
that photosynthesize just like land-dwelling plants.
2. A team of scientists that includes Boston University experts has discovered they also produce
oxygen on the seafloor.
3. The research team used deep-sea chambers that land on the seafloor and enclose the seawater,
sediment, polymetallic nodules, and living organisms.
4. The discovery is a surprise considering oxygen is typically created by plants and organisms with
help from the sun—not by rocks on the ocean floor.
5. The deep-sea rocks, called polymetallic nodules, don't only host a surprising number of sea
critters.

(TITA — type in your answer)

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22. The four sentences (labelled 1, 2, 3, and 4) given 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 effigy of a candidate establishes a personal link between him and the voters; the candidate
does not only offer a programme for judgement, he suggests a physical climate, a set of daily
choices expressed in a morphology, a way of dressing, a posture.
2. Some candidates for Parliament adorn their electoral prospectus with a portrait; this presupposes
that photography has a power to convert which must be analysed.
3. Inasmuch as photography is an ellipse of language and a condensation of an 'ineffable' social
whole, it constitutes an anti-intellectual weapon and tends to spirit away 'politics' (that is to say a
body of problems and solutions) to the advantage of a 'manner of being', a socio-moral status.
4. Photography tends to restore the paternalistic nature of elections, whose elitist essence has been
disrupted by proportional representation and the rule of parties (the Right seems to use it more
than the Left).

(TITA — type in your answer)

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

The return to the tailor is the juxtaposition of three key things for the mindful Indian shopper. The first
is the conscious shift away from the homogeneity of fast fashion, the idea of a hundred other people
owning exactly the same Zara trench coat or H&M pleated skirt. The second is an actual understanding
of the waste behind the fast fashion market, and wanting not to contribute to that anymore. The last is
the shift toward customisation and fit—the idea of having imaginations brought to life and to have them
fit exactly; without paying exorbitant rates for that bespoke tailoring. For the individual with a keen
fashion sense and a genuine desire to move away from the waste and uniformity of fast fashion without
paying the premium for it that indie brands would invariably demand, the tailor is the perfect crossover.
1. All Indian shoppers are opting for 2. In the Indian retail market, people believe
customisation and a shift away from that expensive branded clothes are wasteful
homogeneity over expensive clothing brands and, therefore, are returning to the
like Zara and H&M. neighbourhood tailor.
3. The mindful Indian shoppers are returning to 4. The mindful Indian shopper is shifting away
the tailor with a genuine desire to wear from convenience and uniformity of clothing,
clothes which are less expensive, fit them well and waste in fashion, to customisation and
and are yet fashionable. less exorbitantly priced clothing.

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c24. Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, aresegiven
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be put together to form a coherent paragraph. Identify the odd sentence
that sentence as your answer. a
1. The profound emotional impact of music has inspired ongoing research into its relationship with
emotions.
2. Music is a universal phenomenon that utilizes a myriad brain resources.
3. This inherent connection to musical expression is deeply intertwined with human identity and
experience.
4. The proclivity to create and appreciate music is ubiquitous among humans, permeating daily life
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across diverse societies.
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Section II — Data Interpretation & Logical Reasoning (DI & LR)
22 questions

QUESTION NUMBERS 1 TO 5

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Three countries – Pumpland (P), Xiland (X) and Cheeseland (C) – trade among themselves and with the
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(other countries in) Rest of World (ROW). All trade volumes
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The following terminology is used:
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Trade balance = Exports − Imports
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Total trade = Exports + Imports
Normalized trade balance = Trade balance / Total trade, expressed in percentage terms
The following information is known.

1. The normalized trade balances of P, X and C are 0%, 10%, and −20%, respectively.
2. 40% of exports of X are to P. 22% of imports of P are from X.
3. 90% of exports of C are to P; 4% are to ROW.
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4. 12% of exports of ROW are to X, 40% are to P.
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(TITA — type in your answer)

2. How much is exported from P to ROW, in IC?
(TITA — type in your answer)

3.
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4. What is the trade balance of ROW?
1. 100 2. 0
3. −200 4. 200

5. Which among the countries P, X, and C has/have the least total trade?
1. Only P 2. Only C
3. Both X and C 4. Only X

QUESTION NUMBERS 6 TO 9

Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside
(not necessarily in the same order) and playing a game of 'Passing the Buck'.

The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a
child sitting in one of the following positions:

Immediately to the left;
Immediate to the right;
Second to the left; or
Second to the right.
The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below
provides some information about the pass types and the child receiving the Buck. Some information is
missing and labelled as '?'.

Round Pass Type Received by
1 Immediately to the left Aarav
2 Second to the right ?
3 Immediately to the right Diya
4 ? ?
5 ? Aarav
6 Second to the left ?
7 Immediately to the left Gaurav
8 Immediately to the left ?
9 ? Farhan
10 ? Chirag

6. Who is sitting immediately to the right of Bina?
1. Eshan 2. Aarav
3. Farhan 4. Chirag

7. Who is sitting third to the left of Eshan?
1. Chirag 2. Aarav
3. Divya 4. Gaurav

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 14 of 22

8. For which of the following pass types can the total number of occurrences be uniquely determined?
1. Immediately to the left 2. Second to the right
3. Immediately to the right 4. Second to the left

9. For which of the following children is it possible to determine how many times they received the Buck?
1. Eshan 2. Gaurav
3. Bina 4. Farhan

QUESTION NUMBERS 10 TO 13

Anu, Bijay, Chetan, Deepak, Eshan, and Faruq are six friends. Each of them uses a mobile number from
exactly one of the two mobile operators - Xitel and Yocel. During the last month, the six friends made
several calls to each other. Each call was made by one of these six friends to another. The table below
summarizes the number of minutes of calls that each of the six made to (outgoing minutes) and received
from (incoming minutes) these friends, grouped by the operators. Some of the entries are missing.

Outgoing minutes to Incoming minutes from
Friend Operator
Operator Xitel Operator Yocel Operator Xitel Operator Yocel
Anu Xitel 100 50 225
Bijay Xitel 200 125
Chetan Yocel 50 175 250 150
Deepak Yocel 100 150 275 100
Eshan Yocel 100 100 375
Faruq Yocel 0 100 150
It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls
from:

Bijay to Eshan,
Chetan to Anu and Chetan to Deepak,
Deepak to Bijay and Deepak to Faruq,
Eshan to Chetan and Eshan to Deepak.

10. What was the duration of calls (in minutes) from Bijay to Anu?
(TITA — type in your answer)

11. What was the total duration of calls (in minutes) made by Anu to friends having mobile numbers from
Operator Yocel?
(TITA — type in your answer)

12. What was the total duration of calls (in minutes) made by Faruq to friends having mobile numbers from
Operator Yocel?
(TITA — type in your answer)

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 15 of 22

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QUESTION NUMBERS 14 TO 17

Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The
competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got
access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and
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the others were number-based puzzles. The winner of the competition was the one who solved all
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Progress charts — Left: All puzzles solved vs time; Right: Visual puzzles solved vs time. Series: Anirbid, Chandranath, Koushik, Suranjan.

14. Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?
1. Koushik 2. Anirbid
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16. At what number in the sequence was the fourth number-based puzzle?
(TITA — type in your answer)

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17. Which of the following is the closest to the average time taken by Anirbid to solve the number-based
puzzles in the competition?
1. 4.0 minutes 2. 3.8 minutes
3. 2.5 minutes 4. 3.3 minutes

QUESTION NUMBERS 18 TO 22

Aurevia, Brelosia, Cyrenia and Zerathania are four countries with their currencies being Aurels, Brins,
Crowns, and Zentars, respectively. The currencies have different exchange values. Crown's currency
exchange rate with Zentars = 0.5, i.e., 1 Crown is worth 0.5 Zentars.

Three travelers, Jano, Kira, and Lian set out from Zerathania visiting exactly two of the countries. Each
country is visited by exactly two travelers. Each traveler has a unique Flight Cost, which represents the
total cost of airfare in traveling to both the countries and back to Zerathania. The Flight Cost of Jano was
4000 Zentars, while that of the other two travelers were 5000 and 6000 Zentars, not necessarily in that
order. When visiting a country, a traveler spent either 1000, 2000 or 3000 in the country's local
currency. Each traveler had different spends (in the country's local currency) in the two countries he/she
visited. Across all the visits, there were exactly two spends of 1000 and exactly one spend of 3000 (in the
country's local currency).

The total "Travel Cost" for a traveler is the sum of his/her Flight Cost and the money spent in the
countries visited.

The citizens of the four countries with knowledge of these travels made a few observations, with spends
measured in their respective local currencies:

Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500 and 8000,
respectively.
Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000, respectively. Kira's
Travel Cost was 4000.
Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.

18. What is the sum of Travel Costs for all travelers in Zentars?
(TITA — type in your answer)

19. How many Zentars did Lian spend in the two countries he visited?
(TITA — type in your answer)

20. What was Jano's total spend in the two countries he visited, in Aurels?
(TITA — type in your answer)

21. One Brin is equivalent to how many Crowns?
1. 0.5 2. 0.125
3. 4 4. 8

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 17 of 22

22. Which of the following statements is NOT true about money spent in the local currency?
1. Jano spent 2000 in Aurevia 2. Lian spent 2000 in Cyrenia
3. Jano spent 2000 in Cyrenia 4. Kira spent 1000 in Aurevia

Section III — Quantitative Ability (QA)
22 questions

1. For a 4-digit number (greater than 1000), the sum of the digits in the thousands, hundreds, and tens
places is 15. The sum of the digits in the hundreds, tens, and units places is 16. Also, the digit in the tens
place is 6 more than the digit in the units place. The difference between the largest and smallest possible
value of the number is
1. 735 2. 3289
3. 4078 4. 811

2. The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the
managers received a 20% salary increase while the salary of the engineers remained unchanged, the
average salary of all 30 employees would have increased by 5%. The average salary, in rupees, of the
engineers is
1. 45000 2. 54000
3. 40000 4. 50000

3. The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The
cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all
the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January,
February and March, respectively, while no discounts were given in April. If the total profit from
January to April was Rs. 138825, then the marked price per unit, in rupees, was
1. 525 2. 520
3. 510 4. 515

4. A triangle is formed with cm and cm. Then, the sum of the lengths, in
cm, of all three altitudes of the triangle is
(TITA — type in your answer)

5. In , cm and is a point on side such that cm. If is extended
to a point such that , then the length, in cm, of is
1. 18 2. 16
3. 14 4. 20

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 18 of 22

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7. The sum of all possible real values of for which , is
1. 2.

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ag on time. If he had stopped for 10 minutes more, he would have had to increase his speed
same day. However, on his way, he stops for 20 minutes, and after that, increases his speed by
hour to reach
by 5 km per hour to reach on time. His initial speed, in km per hour, was
1. 12 2. 20
3. 18 4. 15

9. The ratio of the number of coins in boxes and was . After 108 coins were shifted from box
to box , this ratio became
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make this ratio , is c. o
(TITA — type in your answer)
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lies between 150 and 500. If is not less than and not more than , then the sum of the
maximum and minimum possible values of is
(TITA — type in your answer)

11. is a trapezium in which is parallel to , is perpendicular to , and . If a
circle inscribed in the trapezium touching all the sides has a radius of 3 cm, then the area, in sq. cm, of
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taken out from and poured into . After stirring, the same volume is taken out from and poured
into . If the resultant ratio of alcohol and water in is , then the volume, in litres, initially taken
out from is
(TITA — type in your answer)

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13. The rate of water flow through three pipes , and are in the ratio . An empty tank can be
filled up completely by pipe in 15 hours. If all the three pipes are used simultaneously to fill up this
empty tank, the time, in minutes, required to fill up the entire tank completely is nearest to
1. 78 2. 71
3. 73 4. 76

14. If , then the sum of all real roots of the equation is
1. 2.

3. 4.

15. The sum of all the digits of the number is
1. 221 2. 255
3. 324 4. 212

16.
If and , then the value of is

1. 2.

3. 4.

17. If , where , and are natural numbers, then
equals
(TITA — type in your answer)

18. Teams , , and consist of five, eight, and ten members, respectively, such that every member within
a team is equally productive. Working separately, teams , , and can complete a certain job in 40
hours, 50 hours, and 4 hours, respectively. Two members from team , three members from team ,
and one member from team together start the job, and the member from team leaves after
hours. The number of additional member(s) from team , that would be required to replace the
member from team , to finish the job in the next one hour, is
1. 2 2. 3
3. 4 4. 1

19. In a school with 1500 students, each student chooses any one of the streams out of science, arts, and
commerce, by paying a fee of Rs 1100, Rs 1000, and Rs 800, respectively. The total fee paid by all the
students is Rs 15,50,000. If the number of science students is not more than the number of arts
students, then the maximum possible number of science students in the school is
(TITA — type in your answer)

20. In an arithmetic progression, if the sum of the fourth, seventh and tenth terms is 99, and the sum of the
first fourteen terms is 497, then the sum of the first five terms is
(TITA — type in your answer)

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 20 of 22

21. Ankita walks from to through , and runs back through the same route at a speed that is 40% more
than her walking speed. She takes exactly 3 hours 30 minutes to walk from to as well as to run from
to . The total time, in minutes, she would take to walk from to and run from to , is
(TITA — type in your answer)

22. In a class of 150 students, 75 students chose physics, 111 students chose mathematics and 40 students
chose chemistry. All students chose at least one of the three subjects and at least one student chose all
three subjects. The number of students who chose both physics and chemistry is equal to the number of
students who chose both chemistry and mathematics, and this is half the number of students who chose
both physics and mathematics. The maximum possible number of students who chose physics but not
mathematics, is
1. 35 2. 55
3. 30 4. 40

Answer Key

Section I — Verbal Ability & Reading Comprehension

Q.No 1 2 3 4 5 6 7 8 9 10

Ans 3 2 4312 3 1 1 4 4 1 3

Q.No 11 12 13 14 15 16 17 18 19 20

Ans 1 4 3 3 4 2 4 4 3 2

Q.No 21 22 23 24

Ans 3 2143 4 1

Section II — Data Interpretation & Logical Reasoning

Q.No 1 2 3 4 5 6 7 8 9 10

Ans 48 200 1008 4 3 1 1 3 2 50

Q.No 11 12 13 14 15 16 17 18 19 20

Ans 525 350 4 1 2 6 1 41000 13000 1500

Q.No 21 22

Ans 4 1

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 21 of 22

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Ans 4 2 1 126 1 3 1 4 272 397

Q.No 11 12 13 14 15 16 17 18 19 20

Ans 1 16 3 1 1 1 112 1 700 65

Q.No 21 22

Ans 444 1

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MCQ answers are the correct option number (1–4). TITA answers are the numeric/sequence value.

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