CAT 2024 Question Paper with Answer Key for Slot 3

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CAT 2024
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CAT 2024 Question Paper Slot 3

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Common Admission Test — 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

READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

Fears of artificial intelligence (AI) have haunted humanity since the very beginning of the computer age.
Hitherto these fears focused on machines using physical means to kill, enslave or replace people. But
over the past couple of years new AI tools have emerged that threaten the survival of human civilisation
from an unexpected direction. AI has gained some remarkable abilities to manipulate and generate
language, whether with words, sounds or images. AI has thereby hacked the operating system of our
civilisation.
Language is the stuff almost all human culture is made of. Human rights, for example, aren't inscribed in
our DNA. Rather, they are cultural artefacts we created by telling stories and writing laws. Gods aren't
physical realities. Rather, they are cultural artefacts we created by inventing myths and writing
scriptures….What would happen once a non-human intelligence becomes better than the average human
at telling stories, composing melodies, drawing images, and writing laws and scriptures? When people
think about Chatgpt and other new AI tools, they are often drawn to examples like school children using
AI to write their essays. What will happen to the school system when kids do that? But this kind of
question misses the big picture. Forget about school essays. Think of the next American presidential race
in 2024, and try to imagine the impact of AI tools that can be made to mass-produce political content,
fake-news stories and scriptures for new cults…

Through its mastery of language, AI could even form intimate relationships with people, and use the
power of intimacy to change our opinions and worldviews. Although there is no indication that AI has
any consciousness or feelings of its own, to foster fake intimacy with humans it is enough if the AI can
make them feel emotionally attached to it….

What will happen to the course of history when AI takes over culture, and begins producing stories,
melodies, laws and religions? Previous tools like the printing press and radio helped spread the cultural
ideas of humans, but they never created new cultural ideas of their own. AI is fundamentally different.
AI can create completely new ideas, completely new culture….Of course, the new power of AI could be
used for good purposes as well. I won't dwell on this, because the people who develop AI talk about it
enough….
We can still regulate the new AI tools, but we must act quickly. Whereas nukes cannot invent more
powerful nukes, AI can make exponentially more powerful AI.… Unregulated AI deployments would
create social chaos, which would benefit autocrats and ruin democracies. Democracy is a conversation,
and conversations rely on language. When AI hacks language, it could destroy our ability to have
meaningful conversations, thereby destroying democracy….And the first regulation I would suggest is to
make it mandatory for AI to disclose that it is an AI. If I am having a conversation with someone, and I
cannot tell whether it is a human or an AI—that's the end of democracy. This text has been generated by
a human. Or has it?

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1. The author identifies all of the following as dire outcomes of the capture of language by AI EXCEPT that
it could
A. apply its mastery of language to create strong B. spawn a completely new culture through its
emotional ties which could exacerbate the ability to create new ideas and opinions.
polarization of political views.
C. eventually subvert democratic processes D. out-strip human creativity and endeavours in
through the mass creation and spread of fake the spheres such as art and music and, in the
political content and news. formulation of laws.

2. We can infer that the author is most likely to agree with which of the following statements?
A. Apart from its drawbacks, AI tools have been B. The commonly expressed fear that future AI
beneficial in boosting technological and developments will fatally harm humans is
industrial advance worldwide. unfounded.
C. One of the biggest casualties from the spread D. People's fears of the dangers of students using
of unregulated AI is likely to be the Chat GPT and other new AI tools are
democratic process. unfounded.

3. The author terms language "the operating system of our civilization" for all the following reasons
EXCEPT that it
A. has laid the foundation for the creation of B. is fundamental to the articulation and spread
cultural artefacts through writing and telling of human values and culture in our society.
of stories.
C. can influence political views and opinions as D. is the basis of AI tools like ChatGPT which can
it engenders close emotional ties among be used to generate academic content and
people. opinion.

4. The tone of the passage could best be described as
A. quizzical, as the passage poses several B. alarmist, because the passage discusses
questions, concluding with the question of scenarios of the influence of new AI tools on
whether or not the passage content has been language and human emotions.
generated by AI.
C. prescient, as the author analyses the future D. cautionary, because the author lays out some
impact of the use of new AI tools on crucial adverse effects of the proliferation of
areas of our society and culture. unregulated AI tools.

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Lyric poetry is a genre of private meditation rather than public commitment. The impulse in Marxism

se a seem to place demands on
toward changing a society deemed unacceptable in its basic designlwould
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lyric poetry that such poetry, with its tendency toward the personal,
idiosyncratic, could never answer. There is within Marxism, however, also a strand of thought that
would locate in lyric poetry alternative modes of perception and description that call forth a vision of
worlds at odds with a repressive reality or that draw attention to the workings of ideology within the
hegemonic culture. The poetic imagination may indeed deflect larger social concerns, but it may also be
implicitly critical and utopian.
A. Marxism has internal contradictions due to B. The focus of lyric poetry as personal may not
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of resistance against an oppressive culture.
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poetry will remain largely utopian. due to its personal nature.

6. Sentence: This reality is putting stress on employees who have to pay for transport, desk lunches, more
childcare, clothing and that after-work socialisation – costs they haven't incurred for nearly two years.

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Paragraph: ___(1)___. Prices are rising at their fastest rate in 40 years, consequently, return-to-office-
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. workers have enjoyed during a favorable pandemic
related costs have shot up – think petrol and food, for instance. ___(2)___. Yet wages haven't kept up

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labour market. ___(3)___. This is especially s
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jarring for workers who were able to save during remote
work, when these expenditures weren't agfactor.
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lecturer, told BBC Work life that they were spending nearly a quarter of what they made every day on
return-to-work costs.
A. Option 3 B. Option 4
C. Option 1 D. Option 2

7. Sentence: Taken outside the village of Trang Bang on June 8, 1972, the picture captured the trauma and
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om The horrifying photograph of children fleeing a deadly napalm attack
c. Paragraph: e mhas become a defining
em image not only of the Vietnam War but the 20th century. ___(1)___. Dark
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a and confusion. ___(2)___.
ag Soldiers from the South Vietnamese army's 25th Division follow helplessly behind. ___(3)___. The
picture was officially titled "The Terror of War," but the photo is better known by the nickname given to
naked 9-year-old at its centre "Napalm Girl". ___(4)___.
A. Option 1 B. Option 2
C. Option 3 D. Option 4

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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

Moutai has been the global booze sensation of the decade. A bottle of its Flying Fairy which sold in the
1980s for the equivalent of a dollar now retails for $400. Moutai's listed shares have soared by almost
600% in the past five years, outpacing the likes of Amazon. . . .

It does this while disregarding every Western marketing mantra. It is not global, has meagre digital sales
and does not appeal to millennials. It scores pitifully on environmental, social and governance measures.
In the Boy Scout world of Western business it would leave a bad taste, in more ways than one.

Moutai owes its intoxicating success to three factors—not all of them easy to emulate. First, it profits
from Chinese nationalism. Moutai is known as the "national liquor". It was used to raise spirits and
disinfect wounds in Mao's Long March. It was Premier Zhou Enlai's favourite tipple, shared with
Richard Nixon in 1972. Its centuries-old craftsmanship—it is distilled eight times and stored for years in
earthenware jars—is a source of national pride. It also claims to be hangover-proof, which would make it
an invention to rival gunpowder....

Second, it chose to serve China's super-rich rather than its middle class. Markets are littered with the
corpses of firms that could not compete in the cut-throat battle for Chinese middle-class wallets. And the
country's premium market is massive—at 73m-strong, bigger than the population of France, notes Euan
McLeish of Bernstein, an investment firm, and still less crowded with prestige brands than advanced
economies. Moutai is to these well-heeled drinkers what vintage champagne is to the rest of the world.....

Third, Moutai looks beyond affluent millennials and digital natives. The elderly and the middle-aged, it
found, can be just as lucrative. Its biggest market now is (male) drinkers in their mid-30s. Many have no
siblings, thanks to four decades of China's one-child policy—which also means their elderly parents can
splash out on weddings and banquets. Moutai is often a guest of honour.

Moutai has succeeded thanks to nationalism, elitism and ageism, in other words—not in spite of this
unholy trinity. But it faces risks. The government is its largest shareholder—and a meddlesome one. It
appears to want prices to remain stable. Exorbitantly priced booze is at odds with its professed socialist
ideals. Yet minority investors—including many foreign funds—lament that Moutai's wholesale price is a
third of what it sells for in shops. Raising it could boost the company's profits further. Instead, in what
some see as a travesty of corporate governance, its majority owner has plans to set up its own sales
channel.....

In the long run, its biggest risk may be millennials. As they grow older, health concerns, work-life
balance and the desire for more wholesome pursuits than binge-drinking may curb the "Ganbei!"
toasting culture [heavy drinking] on which so much of the demand for Moutai rests. For the time being,
though, the party goes on.

8. Which one of the following is both a reason for Moutai's success as well as a possible threat to that
success?
A. Its appeal to the rich. B. Chinese love of liquor filled celebration.
C. Its appeal to the older age group. D. Government involvement in its business

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9. In the context of the passage, it is most likely that the author refers to Moutai's marketing strategy as
"the unholy trinity" because
A. it profits from Chinese nationalist feelings. B. it exposes the firm to long term risks.
C. it contradicts the Western strategy of D. there is nothing holy about marketing
marketing. techniques for liquor.

10. The phrase "would make it an invention to rival gunpowder" has been used in the passage in a sense
that is
A. metaphorical B. literal
C. substantive D. synonymical

11. In the context of the passage we can infer that to succeed in the liquor industry in China, a marketing
firm must consider all of the following factors affecting the Chinese liquor market EXCEPT that
A. the competition for winning over the middle B. there are few competitors to meet the
class is very stiff. demands of high end liquor consumers.
C. the government may control the pricing of D. there is money to be made from marketing to
products. the middle class.

12. When the tradwife puts on that georgic, pinstriped dress, she is not just admiring the visual cues of a
fantastical past. She takes these dreams of storybook bliss literally, tracing them backward in time until
she reaches a logical conclusion that satisfies her. And by doing so, she ends up delivering an unhappy
reminder of just how much our lives consist of artifice and playacting. The tradwife outrages people
because of her deliberately regressive ideals. And yet her behaviour is, on some level, indistinguishable
from the nontradwife's. The tradwife's trollish genius is to beat us at our own dress-up game. By
insisting that the idyllic cottage daydream should be real, right down to the primitive gender roles, she
leaves others feeling hollow, cheated. The hullabaloo and headaches she causes may be the price we pay
for taking too many things at face value: our just deserts, served Instagram-perfect by a manicured hand
on a gorgeous ceramic dish, with fat, mouthwatering maraschino cherries on top.
A. The tradwife's commitment to outdated B. The tradwife's vintage dress and adherence to
gender roles and retro fashion critiques the traditional roles reveal the artificial nature of
superficiality of today's societal ideals. modern life and its superficial values.
C. By promoting an idealized past, the tradwife D. The tradwife, with her vintage dress and
exposes the artifice of contemporary values traditional roles, highlights the superficiality
and mocks societal norms. of modern life and challenges current societal
norms.

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. c13. Sentence: Many have had to leave their homes behind, with more thanse1.3mmillion people being
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Passage: Somalia has been dealing with an enormous humanitarian catastrophe, driven by the longest
and most severe drought the country has experienced in at least 40 years. ___(1)___. Five consecutive
rainy seasons have failed, causing more than 8 million people - almost half of the country's population –
to experience acute food insecurity. ___(2)___. More than 43,000 people are believed to have lost their
lives, with half of the lives lost likely being children under five. The damage the drought has caused is
far-reaching. ___(3)___. Farmers have lost all their agricultural income, while pastoralists have lost
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more than 3 million livestock, impoverishing entire communities, and leaving them on the brink of
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famine. ___(4)___. Some, like the pastoralists, may never be able to go back as their livelihoods have
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14. Five jumbled up 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 and key in the number of
that sentence as your answer.
A. Part of the appeal of forecasting is not just B. The tight connection between forecasting and
that it seems to work, but that you don't seem building a model of the world helps explain
to need specialized expertise to succeed at it.
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C. This was true even though the latter had
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access to classified intelligence.
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a geopolitical events, when aggregated using
standard scientific methods, were more
accurate than the forecasts of members of the
US intelligence community who answered the
same questions in a confidential prediction
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E. The aggregated opinions of non-experts doing
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15. Five jumbled up 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 and key in the number of
that sentence as your answer.
A. To create a synapse, the neuron has B. This fetal warm-up act—the soldering of
specialized structures, often seen as tiny neural connections before the eyes actually
swellings, at its terminal end of the axon function—is crucial to the performance of the
where it stores the chemicals that are emitted visual system.
to transmit a signal to the next neuron.
C. The reasons for this paring back of synapses is D. Neural connections between the eyes and the
a mystery, but synaptic pruning is thought to brain are formed long before birth,
sharpen and reinforce the "correct" synapses, establishing the wiring and the circuitry that
while removing the weak and unnecessary allow a child to begin visualizing the world the
ones. minute she emerges from the womb.
E. During this rehearsal period, synapses—
points of chemical connection—between
nerve cells are generated in great excess, only
to be pruned back during later development.
(TITA — type in your answer)

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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

There is a group in the space community who view the solar system not as an opportunity to expand
human potential but as a nature preserve, forever the provenance of an elite group of scientists and their
sanitary robotic probes. These planetary protection advocates [call] for avoiding "harmful
contamination" of celestial bodies. Under this regime, NASA incurs great expense sterilizing robotic
probes in order to prevent the contamination of entirely theoretical biospheres. . . .
Transporting bacteria would matter if Mars were the vital world once imagined by astronomers who
mistook optical illusions for canals. Nobody wants to expose Martians to measles, but sadly, robotic
exploration reveals a bleak, rusted landscape, lacking oxygen and flooded with radiation ready to
sterilize any Earthly microbes. Simple life might exist underground, or down at the bottom of a deep
canyon, but it has been very hard to find with robots. . . . The upsides from human exploration and
development of Mars clearly outweigh the welfare of purely speculative Martian fungi. . . .

The other likely targets of human exploration, development, and settlement, our moon and the
asteroids, exist in a desiccated, radiation-soaked realm of hard vacuum and extreme temperature
variations that would kill nearly anything. It's also important to note that many international
competitors will ignore the demands of these protection extremists in any case. For example, China
recently sent a terrarium to the moon and germinated a plant seed—with, unsurprisingly, no protest
from its own scientific community. In contrast, when it was recently revealed that a researcher had
surreptitiously smuggled super-resilient microscopic tardigrades aboard the ill-fated Israeli Beresheet
lunar probe, a firestorm was unleashed within the space community. . . .

NASA's previous human exploration efforts made no serious attempt at sterility, with little notice. As the
Mars expert Robert Zubrin noted in the National Review, U.S. lunar landings did not leave the campsites
cleaner than they found it. Apollo's bacteria-infested litter included bags of feces. Forcing NASA's
proposed Mars exploration to do better, scrubbing everything and hauling out all the trash, would
destroy NASA's human exploration budget and encroach on the agency's other directorates, too. Getting
future astronauts off Mars is enough of a challenge, without trying to tote weeks of waste along as well.
A reasonable compromise is to continue on the course laid out by the U.S. government and the National
Research Council, which proposed a system of zones on Mars, some for science only, some for
habitation, and some for resource exploitation. This approach minimizes contamination, maximizes
scientific exploration . . .
Mars presents a stark choice of diverging human futures. We can turn inward, pursuing ever more
limited futures while we await whichever natural or manmade disaster will eradicate our species and life
on Earth. Alternatively, we can choose to propel our biosphere further into the solar system,
simultaneously protecting our home planet and providing a backup plan for the only life we know exists
in the universe. Are the lives on Earth worth less than some hypothetical microbe lurking under Martian
rocks?

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c16. The author mentions all of the following reasons to dismiss concerns sabout
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A.the lack of evidence of living organisms on the use B.

Mars makes possible contamination from bodies like the moon have had little effect on
earthly microbes a moot point. the environment.
C. efforts to contain contamination on Mars are D. earlier explorations have already
likely to be derailed as competitor countries contaminated pristine space environments.
may not follow similar restrictions.

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aiming to corner space exploration. group of scientists seeking to limit space
exploration.

18. The contrasting reactions to the Chinese and Israeli "contaminations" of lunar space
A. are valid as the contamination of the lunar B. reveal global biases prevalent in attitudes
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19. The author is unlikely to disagree with any of the following EXCEPT:
A. the proposal for a zonal segregation of the B. that while NASA's earlier missions were not
Martian landscape into regions for different ideal in their approach to space
purposes. contamination, they likely did no grave
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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.

Languages become endangered and die out for many reasons. Sadly, the physical annihilation of
communities of native speakers of a language is all too often the cause of language extinction. In North
America, European colonists brought death and destruction to many Native American communities.
This was followed by US federal policies restricting the use of indigenous languages, including the
removal of native children from their communities to federal boarding schools where native languages
and cultural practices were prohibited. As many as 75 percent of the languages spoken in the territories
that became the United States have gone extinct, with slightly better language survival rates in Central
and South America . ..

Even without physical annihilation and prohibitions against language use, the language of the
"dominant" cultures may drive other languages into extinction; young people see education, jobs, culture
and technology associated with the dominant language and focus their attention on that language. The
largest language "killers" are English, Spanish, Portuguese, French, Russian, Hindi, and Chinese, all of
which have privileged status as dominant languages threatening minority languages.
When we lose a language, we lose the worldview, culture and knowledge of the people who spoke it,
constituting a loss to all humanity. People around the world live in direct contact with their native
environment, their habitat. When the language they speak goes extinct, the rest of humanity loses their
knowledge of that environment, their wisdom about the relationship between local plants and illness,
their philosophical and religious beliefs as well as their native cultural expression (in music, visual art
and poetry) that has enriched both the speakers of that language and others who would have
encountered that culture. . . .

As educators deeply immersed in the liberal arts, we believe that educating students broadly in all facets
of language and culture . . . yields immense rewards. Some individuals educated in the liberal arts
tradition will pursue advanced study in linguistics and become actively engaged in language
preservation, setting out for the Amazon, for example, with video recording equipment to interview the
last surviving elders in a community to record and document a language spoken by no children.
Certainly, though, the vast majority of students will not pursue this kind of activity. For these students, a
liberal arts education is absolutely critical from the twin perspectives of language extinction and global
citizenship. When students study languages other than their own, they are sensitized to the existence of
different cultural perspectives and practices. With such an education, students are more likely to be able
to articulate insights into their own cultural biases, be more empathetic to individuals of other cultures,
communicate successfully across linguistic and cultural differences, consider and resolve questions in a
way that reflects multiple cultural perspectives, and, ultimately extend support to people, programs,
practices, and policies that support the preservation of endangered languages.
There is ample evidence that such preservation can work in languages spiraling toward extinction. For
example, Navajo, Cree and Inuit communities have established schools in which these languages are the
language of instruction and the number of speakers of each has increased.

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20. It can be inferred from the passage that it is likely South America had a slightly better language survival
rate than North America for all of the following reasons EXCEPT:
A. European colonists allowed children of native B. the colonial government was unable to
speakers to stay at home with their families. mainstream the locals.
C. locals were provided job opportunities in the D. not many native speakers were killed by
colonial administration. European colonists.

21. Which one of the following hypothetical scenarios, if true, would most strongly undermine the central
ideas of the passage?
A. Most liberal arts students will pursue jobs in B. A liberal arts education requires that, in
publishing and human resource management addition to being fluent in English, students
rather than doctorates in linguistics. gain fluency in two of the top five most
spoken languages globally.
C. Schools that teach endangered languages can D. Recording a dying language that has only a
preserve the language only for a generation. few remaining speakers freezes it in time: it
stops evolving further.

22. In the context of the passage, which one of the following hypothetical scenarios, if true, is NOT an
example of the kind of loss that occurs when a language becomes extinct?
A. The Inuits of Alaska have 35 different words B. The Lamkangs of Manipur have only 3
to describe the texture of snow. When the remaining native speakers of the language.
language becomes extinct, we will lose that When they die, we will lose one more group
understanding of nature. from the government list of indigenous tribes.
C. The Andamanese language has a word to D. The Nicobarese language describes 20
describe someone who has lost a step-sister. different moods of the ocean. By the time the
When the language dies, we will lose the last speaker is educated in a Central Board
concept of the word and the emotions it school, they will have forgotten their
evokes. language.

23. The author believes that a liberal arts education combined with participation in language preservation
empower students in all of the following ways EXCEPT that they will
A. develop a better understanding of their own B. establish schools to preserve languages
culture. spiralling towards extinction.
C. overcome cultural barriers to communication. D. learn different languages.

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. c24. Humans have managed to tweak the underlying biology of various plants e mand animals to produce high-
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tech crops and microbes. But regulating these entities is complicated,
a technology. The question is
procedures are outdated and not flexible enough to adapt to emerging
whether regulation will ever be able to keep up with human innovation, to regulate living things, which
are apt to be unpredictable and unique; to capture all the potential risks when new biological entities are
introduced, or when they pass on variations of their genes?
A. The problem with formulating regulation for B. A new framework of rules and procedures for
innovation in the scientific arena it that it is regulating the most recent research emerging
impossible to imagine the outcomes or risks from biotechnology is urgently needed, to
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Section II — Data Interpretation & Logical Reasoning (DI & LR)

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22 questions

QUESTION NUMBERS 25 TO 29

The figure below shows a network with three parallel roads represented by horizontal lines R-A, R-B,
and R-C and another three parallel roads represented by vertical lines V1, V2, and V3. The figure also
shows the distance (in km) between two adjacent intersections. Six ATMs are placed at six of the nine
road intersections. Each ATM has a distinct integer cash requirement (in Rs. Lakhs), and the numbers at
the end of each line in the figure indicate the total cash requirements of all ATMs placed on the
corresponding road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22
Lakhs.

The following additional information is known.

The ATMs with the minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are
placed on the same road.
The road distance between the ATM with the second highest cash requirement and the ATM located
at the intersection of R-C and V3 is 12 km.

Road network showing inter-intersection distances (km) and total ATM cash requirements (Rs. Lakhs) per road.

25. Which of the following statements is correct?
A. The ATM placed at the (R-C, V2) intersection B. The cash requirement of the ATM placed at
has a cash requirement of Rs. 9 Lakhs. the (R-C, V2) intersection cannot be uniquely
determined.
C. The ATM placed at the (R-C, V2) intersection D. There is no ATM placed at the (R-C, V2)
has a cash requirement of Rs. 8 Lakhs. intersection.

26. How many ATMs have cash requirements of Rs. 10 Lakhs or more?
(TITA — type in your answer)

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27. Which of the following two statements is/are DEFINITELY true?
Statement A: Each of R-A, R-B, and R-C has two ATMs.
Statement B: Each of V1, V2, and V3 has two ATMs.
A. Only Statement B B. Neither Statement A nor Statement B
C. Both Statement A and Statement B D. Only Statement A

28. What best can be said about the road distance (in km) between the ATMs having the second highest and
the second lowest cash requirements?
A. 4 km B. 5 km
C. Either 4 km or 7 km D. 7 km

29. What is the number of ATMs whose locations and cash requirements can both be uniquely determined?
(TITA — type in your answer)

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QUESTION NUMBERS 30 TO 33

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Over the top (OTT) subscribers of a platform are segregated into three
iii) Others.

Some of the subscribers used one app and the others used multiple apps to access the platform. The
figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to
the ‘Kid’ and ‘Elder’ categories.

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Percentage of total subscribers in the ‘Kid’ and ‘Elder’ categories, 2023 vs 2024.

a the numbers of subscribers.
The following additional facts are known about

The total number of subscribers increased by 10% from 2023 to 2024.
In 2024, 1/2 of the subscribers from the ‘Kid’ category and 2/3 of the subscribers from the ‘Elder’
category use one app.
In 2023, the number of subscribers from the ‘Kid’ category who used multiple apps was the same as
the number of subscribers from the ‘Elder’ category who used one app.
10,000 subscribers from the ‘Kid’ category used one app and 15,000 subscribers from the ‘Elder’
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category used multiple apps in 2023.
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A. 55000 B.

Cannot be determined
C. 65000 D.

31. What percentage of subscribers in the ‘Kid’ category used multiple apps in 2023?
A. 50.00% B. 5.00%
C. 33.33% D. 25.50%

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32. What was the percentage increase in the number of subscribers in the ‘Elder’ category from 2023 to
2024?
A. 50% B. 65%
C. 60% D. 40%

33. What could be the minimum percentage of subscribers who used multiple apps in 2024?
A. 20.0% B. 10.0%
C. 22.00% D. 16.5%

QUESTION NUMBERS 34 TO 37

Out of 10 countries — Country 1 through Country 10 — Country 9 has the highest gross domestic product
(GDP), and Country 10 has the highest GDP per capita. GDP per capita is the GDP of a country divided
by its population. The table below provides the following data about Country 1 through Country 8 for the
year 2024.

Column 1 gives the country's identity.
Column 2 gives the country’s GDP as a fraction of the GDP of Country 9.
Column 3 gives the country’s GDP per capita as a fraction of the GDP per capita of Country 10.
Column 4 gives the country’s annual GDP growth rate.
Column 5 gives the country’s annual population growth rate.

Country GDP GDP per capita GDP growth rate Population growth rate
Country 1 0.15 0.41 0.2% –0.12%
Country 2 0.14 0.25 0.9% –0.41%
Country 3 0.13 0.02 6.5% 0.70%
Country 4 0.12 0.38 0.5% 0.49%
Country 5 0.10 0.36 0.7% 0.31%
Country 6 0.08 0.08 3.2% 0.61%
Country 7 0.08 0.30 0.7% –0.11%
Country 8 0.07 0.41 1.2% 0.71%
Assume that the GDP growth rates and population growth rates of the countries will remain constant for
the next three years.

34. Which one among the countries 1 through 8, has the smallest population in 2024?
A. Country 8 B. Country 5
C. Country 3 D. Country 7

35. The ratio of Country 4’s GDP to Country 5’s GDP in 2026 will be closest to
A. 1.032 B. 1.195
C. 1.314 D. 0.963

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36. Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?
A. Country 7 B. Country 4
C. Country 5 D. Country 1

37. For how many countries among Country 1 through Country 8 will the GDP per capita in 2027 be lower
than that in 2024?
(TITA — type in your answer)

QUESTION NUMBERS 38 TO 42

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode
to reduce the temperature.

If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called
inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode,
then this is achieved in 30 minutes.
If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the
temperature outside at the time of switching off in 1 hour. The temperature outside has been falling at a
constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside
temperature between 11 pm (23:00) and 2 am (2:00) that night.

Inside temperature (°C) between 11 pm (23:00) and 2 am (2:00).

The following facts are known about the AC operation that night.

The AC was turned on for the first time that night at 11 pm (23:00).
The AC setting was changed (including turning it on/off, and/or setting different temperatures) only
at the beginning of the hour or at 30 minutes after the hour.
The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour
period.

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. c38. How many times the AC must have been turned off between 11:01 pmsand
e m1:59 am?
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C.1 cannot be determined
D.

39. What was the temperature outside, in degree Celsius, at 1 am?
(TITA — type in your answer)

40. What was the temperature outside, in degree Celsius, at 9 pm?
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(TITA — type in your answer)

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What best can be concluded about the number of times the AC must have either been turned on or
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AC temperature setting been altered between 11:01 pm and 1:59 am?
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Exactly Either 2 or 3B.

C. More than 3 D. Exactly 3

42. What was the maximum difference between temperature outside and inside temperature, in degree
Celsius, between 11:01 pm and 1:59 am?
(TITA — type in your answer)

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QUESTION NUMBERS 43 TO 46

The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients,
per 100 grams of nutrients in seven food grains. The first column shows the foodgrain category and the
second column its codename. The table has some missing values.

Food grain Codename of the food Other
Carbohydrate Protein Fat
category grain nutrients
C1 0 12
Cereal
C2 3 10
M1 62 10
Millet M2 7 16
M3 56 12
P1 66 10
Pseudo-cereal
P2 14 8
The following additional facts are known.

Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein
than any millet.
Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero
multiples of 5.
All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are
non-zero multiples of 4.
P1 contained double the amount of protein that M3 contains.

43. How many foodgrains had a higher amount of carbohydrate per 100 grams of nutrients than M1?
(TITA — type in your answer)

44. How many grams of protein were there in 100 grams of nutrients in M2?
(TITA — type in your answer)

45. How many grams of other nutrients were there in 100 grams of nutrients in M3?
(TITA — type in your answer)

46. What is the median of the number of grams of protein in 100 grams of nutrients among these food
grains?
(TITA — type in your answer)

Section III — Quantitative Ability (QA)

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22 questions

47. If , , , , and , then the value of the product is
(TITA — type in your answer)

48. The number of distinct integer solutions of the equation , is
(TITA — type in your answer)

49. A circular plot of land is divided into two regions by a chord of length meters such that the chord
subtends an angle of at the center. Then, the area, in square meters, of the smaller region is
A. B.

C. D.

50. A train travelled a certain distance at a uniform speed. Had the speed been 6 km per hour more, it
would have needed 4 hours less. Had the speed been 6 km per hour less, it would have needed 6 hours
more. The distance, in km, travelled by the train is
A. 800 B. 720
C. 780 D. 640

51. Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely
covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by
Vimal are in the ratio of . If the total cultivation area of wheat and mustard are in the ratio ,
then the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is
A. B.

C. D.

52. Aman invests Rs 4000 in a bank at a certain rate of interest, compounded annually. If the ratio of the
value of the investment after 3 years to the value of the investment after 5 years is , then the
minimum number of years required for the value of the investment to exceed Rs 20000 is
(TITA — type in your answer)

53. If is divided by 13, the remainder is
A. 9 B. 5
C. 8 D. 4

54. The average of three distinct real numbers is 28. If the smallest number is increased by 7 and the largest
number is reduced by 10, the order of the numbers remains unchanged, and the new arithmetic mean
becomes 2 more than the middle number, while the difference between the largest and the smallest
numbers becomes 64. Then, the largest number in the original set of three numbers is
(TITA — type in your answer)

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. c55. In a group of 250 students, the percentage of girls was at least 44% andseatmmost 60%. The rest of the
m la or both. If 50% of the boys and
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students were boys. Each student opted for either swimming or running
80% of the girls opted for swimming while 70% of the boys and a60% of the girls opted for running, then
the minimum and maximum possible number of students who opted for both swimming and running,
are
A. 75 and 96, respectively B. 75 and 90, respectively
C. 72 and 88, respectively D. 72 and 80, respectively

56.
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m
A. 8
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C. 7
s em D. 9
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57. a of sides AB, BC, and AC in
The midpoints are M, N, and P, respectively. The medians drawn
from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of
is 1440 sq cm, then the area, in sq cm, of is
(TITA — type in your answer)

58. The sum of all distinct real values of that satisfy the equation , is

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C. D.

l as
59.
ag , is
The number of distinct real values of , satisfying the equation

(TITA — type in your answer)

60. A certain amount of water was poured into a 300 litre container and the remaining portion of the
container was filled with milk. Then an amount of this solution was taken out from the container which
was twice the volume of water that was earlier poured into it, and water was poured to refill the
container again. If the resulting solution contains 72% milk, then the amount of water, in litres, that was
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initially poured into the container was
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(TITA — type in your answer)
s em
s em g la
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. Then, the
a which , is
A. B.

C. D.

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62. Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked
price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is
A. 10 B. 20
C. 15 D. 25

63.
Consider the sequence , and for . Then, the value of the sum

, is

A. B.

C. D.

64. The number of all positive integers up to 500 with non-repeating digits is
(TITA — type in your answer)

65. After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of
salary increase in the second increment was twice of that in the first increment, then the percentage of
salary increase in the first increment was
A. 20 B. 25
C. 27.5 D. 30

66. Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast
as Ayna in the same job. They undertake a job with an arrangement where Sam and Mohit work
together on the first day, Sam and Ayna on the second day, Mohit and Ayna on the third day, and this
three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam
is
A. B.

C. D.

67. A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm, of the square
ACEG is
A. B.

C. D.

68. For some constant real numbers , and consider the following system of linear equations in and :
, . A necessary condition for the system to have no solution for is
A. B.

C. D.

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Answer Key

Section I — Verbal Ability & Reading Comprehension

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

Ans A C D D B C C C C A

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

Ans D D A 2 1 B B C D C

Q.No 21 22 23 24

Ans B B B C

Section II — Data Interpretation & Logical Reasoning

Q.No 25 26 27 28 29 30 31 32 33 34

Ans A 3 D C 3 B C B A A

Q.No 35 36 37 38 39 40 41 42 43 44

Ans B D 0 B 34 42 D 10 5 12

Q.No 45 46

Ans 24 12

Section III — Quantitative Ability

Q.No 47 48 49 50 51 52 53 54 55 56

Ans 2 8 C B D 9 A 70 D A

Q.No 57 58 59 60 61 62 63 64 65 66

Ans 90 C 2 30 D A C 378 B B

Q.No 67 68

Ans A C

MCQ answers are the correct option letter (A–D). TITA answers are the numeric/sequence value.

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