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FOR CAT EXAM PREPARATION
CAT 2024
Question Paper · Slot 1
EXAM YEAR TYPE SUBJECT
CAT 2024 Question Paper Slot 1
Notes · Sample Papers · Previous Year Papers · Mock Tests
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Common Admission Test — Question Paper (Slot 1)
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.
In the summer of 2022, subscribers to the US streaming service HBO MAX were alarmed to discover
that dozens of the platform’s offerings — from the Covid-themed heist thriller Locked Down to the
recent remake of The Witches — had been quietly removed from the service . . . The news seemed like
vindication to those who had long warned that streaming was more about controlling access to the
cultural commons than expanding it, as did reports (since denied by the show’s creators) that Netflix
had begun editing old episodes of Stranger Things to retroactively improve their visual effects.
What's less clear is whether the commonly prescribed cure for these cultural ills — a return to the
material pleasures of physical media — is the right one. While the makers of Blu-ray discs claim they
have a shelf life of 100 years, such statistics remain largely theoretical until they come to pass, and are
dependent on storage conditions, not to mention the continued availability of playback equipment. The
humble DVD has already proved far less resilient, with many early releases already beginning to
deteriorate in quality Digital movie purchases provide even less security. Any film “bought” on iTunes
could disappear if you move to another territory with a different rights agreement and try to redownload
it. It’s a bold new frontier in the commodification of art: the birth of the product recall. After a man took
to Twitter to bemoan losing access to Cars 2 after moving from Canada to Australia, Apple clarified that
users who downloaded films to their devices would retain permanent access to those downloads, even if
they relocated to a hemisphere where the [content was] subject to a different set of rights agreements.
Thanks to the company’s ironclad digital rights management technology, however, such files cannot be
moved or backed up, locking you into watching with your Apple account.
Anyone who does manage to acquire Digital Rights Management free (DRM-free) copies of their
favourite films must nonetheless grapple with ever-changing file format standards, not to mention data
decay — the gradual process by which electronic information slowly but surely corrupts. Only the regular
migration of files from hard drive to hard drive can delay the inevitable, in a sisyphean battle against the
ravages of digital time.
In a sense, none of this is new. Charlie Chaplin burned the negative of his 1926 film A Woman of the Sea
as a tax write-off. Many more films have been lost through accident, negligence or plain indifference.
During a heat wave in July 1937, a Fox film vault in New Jersey burned down, destroying a majority of
the silent films produced by the studio.
Back then, at least, cinema was defined by its ephemerality: the sense that a film was as good as gone
once it left your local cinema. Today, with film studios keen to stress the breadth of their back catalogues
(or to put in Hollywood terms, the value of their IPs), audiences may start to wonder why those same
studios seem happy to set the vault alight themselves if it'll help next quarter’s numbers.
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1. “Netflix had begun editing old episodes of Stranger Things to retroactively improve their visual effects.”
What is the purpose of this example used in the passage?
A. To show that art in the digital age, specifically B. To show that streaming services are
film, is no longer sacrosanct, and may be controlling access to the cultural commons
changed to suit changing tastes or technology. rather than expanding it.
C. To show how unsubstantiated reports are D. To show a practice that justifies the fears of
leading to an increase in the level of distrust people who feel streaming services cannot be
towards streaming services. trusted to be custodians of cultural artefacts
like film.
2. Which one of the following statements, if true, would best invalidate the main argument of the passage?
A. Improved cloud storage services have made it B. When moving to a different geographical
possible for movie collections to now be location, customers can easily use Virtual
preserved in perpetuity, without the need to Private Networks (VPNs) to bypass geo-
keep migrating the files. blocking and regain access to their content on
any streaming service.
C. Recent research has irrefutably proven that D. Studios and streaming services have
Blu-Ray discs have a shelf life of at least committed to giving customers
100years.
3. Which one of the following statements about art best captures the arguments made in the passage?
A. In the age of online subscription services, it is B. Accepting retroactive changes to works of art
time to change our understanding of classic is dangerous because it will encourage
works of art being primarily immutable and creators to not put enough effort into the
easily available to the public. original attempt, given that they can always
edit or update their work later.
C. Works of art belong to the cultural commons D. As art is increasingly created, stored and
and hence must remain available in distributed digitally, access to it is counter
perpetuity, irrespective of who pays for access intuitively likely to be made more difficult by
to them. the rapid churn in technology and the whims
of host platforms.
4. Which of the following statements is suggested by the sentence “Back then, at least, cinema was defined
by its ephemerality: the sense that a film was as good as gone once it left your local cinema”?
A. Today, films are expected to be available for a B. Cinema is now no longer as ephemeral as it
long time, since they are no longer tied solely used to be earlier, because the technology
to their stay at the local cinema. used for creating and preserving films has
improved manifold.
C. Presently, there is no reason why film studios D. Around a century ago, people were more
should remove access to films once they have accepting of not having access to films once
left the local cinema. they left the local cinema.
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There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where
se (option 1, 2, 3, or 4) the following sentence would best fit.
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Sentence: Comprehending a wide range of emotions, Renaissance music nevertheless portrayed all
emotions in a balanced and moderate fashion.
Paragraph: A volume of translated Italian madrigals were published in London during the year of 1588.
This sudden public interest facilitated a surge of English Madrigal writing as well as a spurt of other
secular music writing and publication. __(1)___. This music boom lasted for thirty years and was as
much a golden age of music as British literature was with Shakespeare and Queen Elizabeth __(2)__.
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The rebirth in both literature and music originated in Italy and migrated to England; the English
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madrigal became more humorous and lighter in England as compared to Italy. Renaissance music was
___(3)___. Extreme use of and contrasts in dynamics, rhythm, and s e
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mostly polyphonic in texture. tone
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A. Option 3 B. Option 4
C. Option 1 D. Option 2
6. The passage given below is followed by four alternate summaries. Choose the option that best captures
the essence of the passage.
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Cartographers design and create maps to communicate information about phenomena located
somewhere on our planet. In the past, cartographers did not worry too much about who was going to
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bar symbols worked best—cartographers knew
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read their maps. Although some simple “usability” research was done—like comparing whether circle or
a how to make maps. This has changed now, however, due
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adevelopments. Today, map readers are more demanding—
to all kinds of societal and technological
mostly because of the tools they use to read maps. Cartographers, who are also influenced by these
trends, are now more interested in seeing if their products are efficient, effective, and appreciated.
A. Maps are being used for a variety of reasons B. Today, cartographers also need to look into
and therefore map readers have become more the usability of maps because of the new
demanding. technological developments.
C. New technological developments have D.
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effectiveness efficiency and satisfaction of the
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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.
... [T]he idea of craftsmanship is not simply nostalgic. .. . Crafts require distinct skills, an all-round
approach to work that involves the whole product, rather than individual parts, and an attitude that
necessitates devotion to the job and a focus on the communal interest. The concept of craft emphasises
the human touch and individual judgment.
Essentially, the crafts concept seems to run against the preponderant ethos of management studies
which, as the academics note, have long prioritised efficiency and consistency. . . . Craft skills were
portrayed as being primitive and traditionalist.
The contrast between artisanship and efficiency first came to the fore in the 19 century when British
manufacturers suddenly faced competition from across the Atlantic as firms developed the “American
system” using standardised parts. . . . the worldwide success of the Singer sewing machine showed the
potential of a mass-produced device. This process created its own reaction, first in the form of the Arts
and Crafts movement of the late 19th century, and then again in the “small is beautiful’ movement of the
1970s. A third crafts movement is emerging as people become aware of the environmental impact of
conventional industry.
There are two potential markets for those who practise crafts. The first stems from the existence of
consumers who are willing to pay a premium price for goods that are deemed to be of extra quality... .
The second market lies in those consumers who wish to use their purchases to support local workers, or
to reduce their environmental impact by taking goods to craftspeople to be mended, or recycled.
For workers, the appeal of craftsmanship is that it allows them the autonomy to make creative choices,
and thus makes a job far more satisfying. In that sense, it could offer hope for the overall labour market.
Let the machines automate dull and repetitive tasks and let workers focus purely on their skills,
judgment and imagination. As a current example, the academics cite the “agile” manifesto in the
software sector, an industry at the heart of technological change. The pioneers behind the original agile
manifesto promised to prioritise “individuals and interactions over processes and tools”. By bringing
together experts from different teams, agile working is designed to improve creativity.
But the broader question is whether crafts can create a lot more jobs than they do today. Demand for
crafted products may rise but will it be easy to retrain workers in sectors that might get automated (such
as truck drivers) to take advantage? In a world where products and services often have to pass through
regulatory hoops, large companies will usually have the advantage.
History also suggests that the link between crafts and creativity is not automatic. Medieval craft guilds
were monopolies which resisted new entrants. They were also highly hierarchical with young men
required to spend long periods as apprentices and journeymen before they could set up on their own; by
that time the innovative spirit may have been knocked out of them. Craft workers can thrive in the
modern era, but only if they don’t get too organised.
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7. The author questions the ability of crafts to create substantial employment opportunities presently
because
A. crafts guilds tend to resist new entrants and B. regulatory requirements could make it
are unlikely to accept large numbers of difficult for small crafts outfits to compete.
trainees.
C. workers made redundant by automation are D. the low scale of crafts production will not be
unlikely to opt for crafts-related work. able to absorb the mass of redundant labour.
8. We can infer from the passage that medieval crafts guilds resembled mass production in that both
A. focused excessively on product quality. B. discouraged innovation by restricting entry
through strict rules.
C. did not necessarily promote creativity. D. did not always employ egalitarian production
processes.
9. The most recent revival in interest in the crafts is a result of the emergence of all of the following
EXCEPT:
A. support for individual creations as opposed to B. a niche market for discerning buyers of
mass-produced objects. quality products.
C. a greater interest in buying locally produced D. concerns about the environmental impact of
goods. mass production.
10. Which one of the following statements is NOT inconsistent with the views stated in the passage?
A. Creativity in the crafts could be stifled if the B. The Arts and Crafts movement was initially
market for artisan goods becomes too inspired by the “American system” of
organised. production.
C. We need to support the crafts; only then can D. The agile movement in software is a
we retain the creativity intrinsic to their throwback to the tenets of the medieval crafts
production. guilds.
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The passage given below is followed by four alternate summaries. Choose the option that best captures
se the essence of the passage.
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Scientific research shows that many animals are very intelligent and have sensory and motor abilities
that dwarf ours. Dogs are able to detect diseases such as cancer and diabetes and warn humans of
impending heart attacks and strokes. Elephants, whales, hippopotamuses, giraffes, and alligators use
low-frequency sounds to communicate over long distances, often miles. Many animals also display
wide-ranging emotions, including joy, happiness, empathy, compassion, grief, and even resentment and
embarrassment. It’s not surprising that animals share many emotions with us because we also share
brain structures, located in the limbic system, that are the seat of our emotions.
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The similarity
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animals show emotions typically associated typically associated with humans.
with humans.
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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.
Landing in Australia, the British colonists weren't much impressed with the small-bodied, slender-
snooted marsupials called bandicoots. “Their muzzle, which is much too long, gives them an air
exceedingly stupid,” one naturalist noted in 1805. They nicknamed one type the “zebra rat’ because of its
black-striped rump. Silly-looking or not, though, the zebra rat—the smallest bandicoot, more commonly
known today as the western barred bandicoot—exhibited a genius for survival in the harsh outback,
where its ancestors had persisted for some 26 million years. Its births were triggered by rainfall in the
bone-dry desert. It carried its breath-mint-size babies in a backward-facing pouch so mothers could
forage for food and dig shallow, camouflaged shelters.
Still, these adaptations did not prepare the western barred bandicoot for the colonial-era transformation
of its ecosystem, particularly the onslaught of imported British animals, from cattle and rabbits that
damaged delicate desert vegetation to ravenous house cats that soon developed a taste for bandicoots.
Several of the dozen-odd bandicoot species went extinct, and by the 1940s the western barred bandicoot,
whose original range stretched across much of the continent, persisted only on two predator-free islands
in Shark Bay, off Australia’s western coast.
“Our isolated fauna had simply not been exposed to these predators,” says Reece Pedler, an ecologist
with the Wild Deserts conservation program.
Now Wild Deserts is using descendants of those few thousand island survivors, called Shark Bay
bandicoots, in a new effort to seed a mainland bandicoot revival. They've imported 20 bandicoots to a
preserve on the edge of the Strzelecki Desert, in the remote interior of New South Wales. This sanctuary
is a challenging place, desolate much of the year, with one of the world’s most mercurial rainfall patterns
—relentless droughts followed by sudden drenching floods.
The imported bandicoots occupy two fenced “exclosures,” cleared of invasive rabbits (courtesy of
Pedler’s sheepdog) and of feral cats (which slunk off once the rabbits disappeared). A third fenced area
contains the program’s Wild Training Zone, where two other rare marsupials (bilbies, a larger type of
bandicoot, and mulgaras, a somewhat fearsome fuzzball known for sucking the brains out of prey)
currently share terrain with controlled numbers of cats, learning to evade them. It's unclear whether the
Shark Bay bandicoots, which are perhaps even more predator-naive than their now-extinct mainland
bandicoot kin, will be able to make that kind of breakthrough.
For now, though, a recent surge of rainfall has led to a bandicoot joey boom, raising the Wild Deserts
population to about 100, with other sanctuaries adding to that number. There are also signs of rebirth in
the landscape itself. With their constant digging, the bandicoots trap moisture and allow for seed
germination so the cattle-damaged desert can restore itself.
They have a new nickname—a flattering one, this time. “We call them ecosystem engineers,” Pedler says.
12. According to the text, the western barred bandicoots now have a flattering name because they have
A. led a revival in preserving the species. B. led to a surge and increase of rainfall.
C. grown fivefold in terms of population. D. aided in altering an arid environment.
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13. The text uses the word ‘exclosures’ because Wild Deserts has adopted a measure of
A. ridding the main desert of feral cats and large B. barring the entry of invasive species.
bilbies.
C. excluding animals to make the islands D. restoring cattle damaged deserts to green
predator-free. landscapes.
14. Which one of the following options does NOT represent the characteristics of the western barred
bandicoot?
A. Shallow diggers having an elongated muzzle B. Smallest black striped marsupial that uses
camouflage and dig
C. Look of a rat but with a baby pouch and a D. Long thin nose, black striped back, pouch for
slender snout joeys
15. Which one of the following statements provides a gist of this passage?
A. The negligent attitude of the British colonists B. A type of bandicoots was nearly wiped out by
towards these bandicoots evidenced by the invasive species but rescuers now pin hopes
names given to them led to their annihilation. on a remnant island population.
C. Marsupials are going extinct due to the D. The onslaught of animals, such as cattle,
colonial era transformation of the ecosystem rabbits and housecats, brought in by the
which also destroyed natural vegetation. British led to the extinction of the western
barred bandicoot.
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READ THE PASSAGE AND ANSWER THE QUESTIONS THAT FOLLOW.
Oftentimes, when economists cross borders, they are less interestedgin learning from others than in
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invading their garden plots. Gary Becker, for instance, pioneered the idea of human capital. To do so, he
famously tackled topics like crime and domesticity, applying methods honed in the study of markets to
domains of nonmarket life. He projected economics outward into new realms: for example, by revealing
the extent to which humans calculate marginal utilities when choosing their spouses or stealing from
neighbors. At the same time, he did not let other ways of thinking enter his own economic realm: for
example, he did not borrow from anthropology or history or let observations of nonmarket economics
inform his homo economic us. Becker was a picture of the imperial economist in the heyday of the
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discipline’s bravura.
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Times have changed for the once almighty discipline. Economics has been taken to task, within and
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beyond its ramparts. e
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less imperial, more a
open. Consider Thomas Piketty and his outreach to historians. The booming field
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behavioral economics—the fusion of economics and social psychology—is another case. Having spawned
active subfields, like judgment, decision-making and a turn to experimentation, the field aims to go
beyond the caricature of Rational Man to explain how humans make decisions....
It is important to underscore how this flips the way we think about economics. For generations,
economists have presumed that people have interests—‘preferences,” in the neoclassical argot—that get
revealed in the course of peoples’ choices. Interests come before actions and determine them. If you are
hungry, you buy lunch; if you are cold, you get a sweater. If you only have so much money and can't
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afford to deal with both your growling stomach and your shivering, which need you choose to meet using
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your scarce savings reveals your preference.
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Psychologists take one look at this simple formulation and shake their heads. Increasingly, even some
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mainstream economists have to admit that homo
maximizer; irrational behavior can’t simply be waved away as extra-economic expressions of passions
over interests, and thus the domain of other disciplines... .This is one place where the humanist can help
the economist. If narrative economics is going to help us understand how rivals duke it out, who wins
and who loses, we are going to need much more than lessons from epidemiological studies of viruses or
intracranial stimuli.
Above all, we need politics and institutions. Shiller [the Nobel prize winning economist] connects
perceptions of narratives to changes in behavior and thence to social outcomes. He completes a circle m
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that was key to behavioral economics and brings in storytelling to make sense of how perceptions get .co
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framed. This cycle (perception to behavior to society) was once mediated or dominated by institutions:
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representing, and excluding interests. Yet institutions have been stripped from
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16. In the first paragraph the author is making the point that economists like Becker
A. had begun to borrow concepts from other B. benefitted from the application of their
disciplines but were averse to the latter principles and concepts to non-economic
applying economic principles. phenomena.
C. used economics to analyse non-market D. tended to guard their discipline from
behaviour, without incorporating perspectives poaching by academics from other subject
from other areas of inquiry. areas.
17. “Times have changed for the once almighty discipline.” We can infer from this statement and the
associated paragraph that the author is being
A. sarcastic about how economists, who earlier B. critical of economists’ openly borrowing and
shunned other disciplines, are now beginning collaborating across disciplines to explain
to incorporate them in their analyses. how humans make decisions.
C. judgemental about the ability of economic D. disparaging of economists’ inability to
tools to accurately manage crises leading to precisely predict market behaviour, and are
the downfall of this lofty science. now borrowing from other disciplines to
remedy this.
18. The author critiques Schiller’s approach to behavioural economics for
A. denigrating the role of institutions while B. linking emotions and rational behaviour
creating a link between behavioural without considering the mediation of social
economics and perceptions. institutions.
C. ignoring the marginal role that media and D. relying excessively on storytelling as the main
politics play in influencing people’s influence on the formation of perceptions.
behaviour.
19. We can infer from the passage that the term “homo economic us” refers to someone
A. maximises their opportunities based on B. makes rational decisions based on their own
nonmarket choices. preferences.
C. believes in borrowing and collaborating with D. is not influenced by the preferences and
other disciplines in their work. choices of others.
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20. 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.
1. Animals have an interest in fulfilling their basic needs, but also in avoiding suffering, and thus we
ought to extend moral consideration.
2. Singer viewed himself as a utilitarian, and presents a direct moral theory concerning animal
rights, in contrast to indirect positions, such as welfarist views.
3. He argued for extending moral consideration to animals because, similar to humans, animals
have certain significant interests.
4. The event that publicly announced animal rights as a legitimate issue within contemporary
philosophy was Peter Singer’s Animal Liberation text in 1975.
5. As such, we ought to view their interests alongside and equal to human interests, which results in
humans having direct moral duties towards animals.
(TITA — type in your answer)
21. The passage given below is followed by four alternate summaries. Choose the option that best captures
the essence of the passage.
Certain codes may, of course, be so widely distributed in a specific language community or culture, and
be learned at so early an age, that they appear not to be constructed — the effect of an articulation
between sign and referent — but to be ‘naturally’ given. Simple visual signs appear to have achieved a
‘near-universality’ in this sense: though evidence remains that even apparently ‘natural’ visual codes are
culture specific. However, this does not mean that no codes have intervened; rather, that the codes have
been profoundly naturalized. The operation of naturalized codes reveals not the transparency and
‘naturalness’ of language but the depth, the habituation and the near-universality of the codes in use.
They produce apparently ‘natural’ recognitions. This has the (ideological) effect of concealing the
practices of coding which are present.
A. All codes, linguistic and visual, have a natural B. Learning linguistic and visual signs at an early
origin but some are so widespread that they age makes all such codes appear natural. This
become universal. This is what hides the naturalization of codes is the effect of
mechanism of coding behind signs. ideology.
C. Not all codes are natural but certain codes are D. Language and visual signs are codes.
naturalized and made to appear universal. However, some of the codes are so
Ideology aims to hide the mechanism of widespread that they not only seem naturally
coding behind signs. given but also hide the mechanism of coding
behind the signs.
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1. Urbanites also have more and better options for getting around: Uber is ubiquitous; easy-to-rent
dockless bicycles are spreading; battery-powered scooters will be next.
2. When more people use buses or trains the service usually improves because public-transport
agencies run more buses and trains.
3. Worsening services on public transport, terrorist attacks in some urban metros and a rise in fares
have been blamed for this trend.
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4. It seems more likely that public transport is being squeezed structurally as people’s need to travel
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is diminishing as a result of smartphones, video-conferencing, online shopping and so on.
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5. There has been
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west, despite the growth in urban populations and rising employment.
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(TITA — type in your answer)
23. There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where
(option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: The brain isn’t organized the way you might set up your home office or bathroom medicine
cabinet.
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.multiple systems, each of which has a mind of its
Paragraph: ___(1)___. You can’t just put things anywhere you want to. The evolved architecture of the
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brain is haphazard and disjointed, and incorporates
own. __(2)__. Evolution doesn’t design things s
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historically, conveyed a survival benefit. g
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so that they work harmoniously together. __(3)__. The brain is more like a big, old house with
piecemeal renovations done on every floor, and less like new construction ___4__.
A. Option 3 B. Option 1
C. Option 2 D. Option 4
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24. There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where
(option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Understanding central Asia’s role helps developments make more sense not only across Asia
but in Europe, the Americas and Africa.
Paragraph: The nations of the Silk Roads are sometimes called ‘developing countries’, but they are
actually some of the world’s most highly developed countries, the very crossroads of civilization, in
advanced states of disrepair.__(1)__. These countries lie at the centre of global affairs: they have since
the beginning of history. Running across the spine of Asia, they form a web of connections fanning out
in every direction, routes along which pilgrims and warriors, nomads and merchants have travelled,
goods and produce have been bought and sold, and ideas exchanged, adapted and refined.__(2)__— .
They have carried not only prosperity, but also death and violence, disease and disaster.___(3)__. The
Silk Roads are the world’s central nervous system, connecting otherwise far-flung peoples and
places....___(4)__. It allows us to see patterns and links, causes and effects that remain invisible if one
looks only at Europe, or North America.
A. Option 1 B. Option 4
C. Option 2 D. Option 3
Section II — Data Interpretation & Logical Reasoning (DI & LR)
22 questions
QUESTION NUMBERS 25 TO 29
The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a
QUIET tournament. These teams are divided equally into two groups. In the tournament, each team
plays every other team in the same group only once, and each team in the other group exactly twice. The
tournament has several rounds, each of which consists of a few games. Every team plays exactly one
game in each round. The following additional facts are known about the schedule of games in the
tournament.
Each team played against a team from the other group in Round 8.
In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were
identical. In Round 5 and Round 8, the match-ups were identical.
Team 4 played Team 6 in both Round 1 and Round 2.
Team 1 played Team 5 ONLY once and that was in Round 2.
Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
In Round 8, Team 3 played Team 6, while Team 2 played Team 5.
25. How many rounds were there in the tournament?
(TITA — type in your answer)
26. What is the number of the team that played Team 1 in Round 5?
(TITA — type in your answer)
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Page 16
27. Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?
A. 4 B. 5
C. 3 D. 2
28. What is the number of the team that played Team 1 in Round 7?
(TITA — type in your answer)
29. What is the number of the team that played Team 6 in Round 3?
(TITA — type in your answer)
QUESTION NUMBERS 30 TO 33
The chart below provides complete information about the number of countries visited by Dheeraj,
Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
Number of countries visited (Asia, Europe, ROW) by Dheeraj, Samantha and Nitesh
The following additional facts are known about the countries visited by them.
32 countries were visited by at least one of them.
USA (in ROW) is the only country that was visited by all three of them.
China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and
Samantha, but not by Nitesh.
Half of the countries visited by both Samantha and Nitesh are in Europe.
30. How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?
(TITA — type in your answer)
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Page 17
m
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. c31. How many countries in Europe were visited only by Nitesh? e m
m as
se (TITA — type in your answer)
ag l
32. How many countries in the ROW were visited by both Nitesh and Samantha?
(TITA — type in your answer)
33. How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
A. 5 B. 10
m
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C. 12 D. 14
m
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s em
QUESTION NUMBERS 34 TO 37 l a
g for a
a
The chart below lshows a
agThe vertical axis shows the price of the share in rupees. A share whose closing price (price
the price data for seven shares– A, B, C, D, E, F, and G as a candlestick plot
particular day.
at the end of the day) is more than its opening price (price at the start of the day) is called a bullish
share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red
colour respectively.
m
m .co
s e
g la
a
m
m Candlestick plot of daily share prices for shares A–G, with legend
.co
.co s e m
s em Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’sgllow
34. a price) /(Average of the
g la opening and closing prices during the day). Which among the sharesaA, C, D and F had the highest SPV
a on that day?
A. A B. C
C. F D. D
35. Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the
opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?
m .
.co
(TITA — type in your answer)
e m
em l as
las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 16 of 23
Page 18
36. Daily loss for a share is defined as (Opening price — Closing price) / (Opening price). Which among the
shares A, B, F and G had the highest daily loss on that day?
A. G B. F
C. A D. B
37. What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish
shares at opening price and sold them at their day’s high?
A. 50% B. 100%
C. 72% D. 80%
QUESTION NUMBERS 38 TO 41
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B,
C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below.
No. of stars received by Bloggers A and B from surfers M, N, O, P, X, Y
The following additional facts are known regarding the number of stars received by the bloggers from
the surfers.
The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including Q).
The total numbers of stars received by the bloggers were the same.
Each blogger received a different number of stars from M.
Two surfers gave all their stars to a single blogger.
D received more stars than C from Y.
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Page 19
38. What was the total number of stars received by D?
(TITA — type in your answer)
39. What was the number of stars received by D from Y?
A. 10 B. 0
C. 5 D. cannot be determined
40. How many surfers distributed their stars among exactly 2 bloggers?
(TITA — type in your answer)
41. Which of the following can be determined with certainty?
I. The number of stars received by C from M
II. The number of stars received by D from O
A. Neither I nor II B. Both I and II
C. Only I D. Only II
QUESTION NUMBERS 42 TO 46
Two students, Amiya and Ramya are the only candidates in an election for the position of class
representative. Students will vote based on the intensity level of Amiya’s and Ramya’s campaigns and
the type of campaigns they run. Each campaign is said to have a level of 1 if it is a staid campaign and a
level of 2 if it is a vigorous campaign. Campaigns can be of two types, they can either focus on issues, or
on attacking the other candidate.
If Amiya and Ramya both run campaigns focusing on issues, then
The percentage of students voting in the election will be 20 times the sum of the levels of
campaigning of the two students. For example, if Amiya and Ramya both run vigorous campaigns,
then 20 x (2+2)%, that is, 80% of the students will vote in the election.
Among voting students, the percentage of votes for each candidate will be proportional to the levels
of their campaigns. For example, if Amiya runs a staid (i.e., level 1) campaign while Ramya runs a
vigorous (i.e., level 2) campaign, then Amiya will receive 1/3 of the votes cast, and Ramya will receive
the other 2/3.
The above-mentioned percentages change as follows if at least one of them runs a campaign attacking
their opponent.
If Amiya runs a campaign attacking Ramya and Ramya runs a campaign focusing on issues, then 10%
of the students who would have otherwise voted for Amiya will vote for Ramya, and another 10% who
would have otherwise voted for Amiya, will not vote at all.
If Ramya runs a campaign attacking Amiya and Amiya runs a campaign focusing on issues, then 20%
of the students who would have otherwise voted for Ramya will vote for Amiya, and another 5% who
would have otherwise voted for Ramya, will not vote at all.
If both run campaigns attacking each other, then 10% of the students who would have otherwise
voted for them had they run campaigns focusing on issues, will not vote at all.
For more Question Papers, Sample Papers, Notes & Syllabus visit Page 18 of 23
Page 20
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. e m of students will vote in
c42. If both of them run staid campaigns attacking the other, then what percentage
m la s
se the election?
g
A. 60% 64%a B.
C. 40% D. 36%
43. What is the minimum percentage of students who will vote in the election?
A. 32% B. 40%
C. 36% D. 38%
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44.
m .co
If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she
s e m
can get?
s e l a
A. 40%
l a B. 36%
ag
C. 48% ag D. 44%
45. If Ramya runs a campaign attacking Amiya, then what is the minimum percentage of votes that she is
guaranteed to get?
A. 30% B. 15%
C. 12% D. 18%
m
46.
m .co
What is the maximum possible voting margin with which one of the candidates can win?
A. 20%
s e B. 29%
C. 26%
g la D. 28%
a
Section III — Quantitative Ability (QA)
22 questions
47. When is divided by 7, the remainder is
A. 6 B. 1
m
C.
m4 D. 3
.co
.co s e m
s em Two places A and B are 45 kms apart and connected by a straight road.gAnil
48. l a goes from A to B while Sunil
g la goes from B to A. Starting at the same time, they cross each other in exactly
a 1 hour 30 minutes. If Anil
a reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
A. 14 B. 12
C. 16 D. 18
m .
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s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 19 of 23
Page 21
49. There are four numbers such that average of first two numbers is 1 more than the first number, average
of first three numbers is 2 more than average of first two numbers, and average of first four numbers is
3 more than average of first three numbers. Then, the difference between the largest and the smallest
numbers, is
(TITA — type in your answer)
50. The sum of all four-digit numbers that can be formed with the distinct non-zero digits , , , and ,
with each digit appearing exactly once in every number, is , where is a single digit natural
number. Then, the value of is
(TITA — type in your answer)
51. In September, the incomes of Kamal, Amal and Vimal are in the ratio . They rent a house
together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective incomes to cover
the total house rent in that month. In October, the house rent remains unchanged while their incomes
increase by 10%, 12% and 15%, respectively. In October, the percentage of their total income that will be
paid as house rent, is nearest to
A. 13.26 B. 14.84
C. 12.75 D. 15.18
52. An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5%
per annum. On maturity, the total amount received is deposited in bank B for another 5 years at a
simple interest of 6% per annum. If the interests received from bank A and bank B are in the ratio
, then the investment period, in years, in bank A is
A. 4 B. 6
C. 3 D. 5
53. If the equations , and have a common
negative root, then the value of is
(TITA — type in your answer)
54. If is a positive real number such that , then greatest integer
not exceeding , is
(TITA — type in your answer)
55. Let , , and be real numbers satisfying
Then equals
A. B. 3
C. 1 D. 4
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Page 22
56. In the XY-plane, the area, in sq. units, of the region defined by the inequalities and
is
A. B.
C. D.
57. A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process
of pouring out two-thirds the content and replacing with water is repeated three more times, then the
final ratio of milk to water in the glass, is
A. B.
C. D.
58. Consider two sets and . Let be a function from to such that
for every element in , there is at least one element in such that . Then, the total number
of such functions is
A. 667 B. 540
C. 537 D. 665
59. The surface area of a closed rectangular box, which is inscribed in a sphere, is 846 sq cm, and the sum of
the lengths of all its edges is 144 cm. The volume, in cubic cm, of the sphere is
A. B.
C. D.
60. The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had
been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in
rupees, of the product is
A. 10 B. 15
C. 20 D. 14
61. A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg
of these grains to the first customer. Then, it sells half of the remaining quantity and an additional 3 kg
of these grains to the second customer. Finally, when the shop sells half of the remaining quantity and
an additional 3 kg of these grains to the third customer, there are no grains left. The initial quantity, in
kg, of grains is
A. 42 B. 18
C. 36 D. 50
62. If is the positive square root of , where and are integers, and is a natural
number, then the maximum possible value of is
A. 4 B. 18
C. 6 D. 22
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Page 23
m
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. c63. ABCD is a rectangle with sides e m
m cm and
s
cm, and E is the midpoint of side CD. Then,
a
se the length, in cm, of radius of incircle of is
ag l
(TITA — type in your answer)
64. A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples
and mangoes are in the ratio . After she sells 75 apples, 26 mangoes and half of the oranges, the
ratio of number of unsold apples to number of unsold oranges becomes . The total number of
unsold fruits is
(TITA — type in your answer)
m
c o m m .co
65.
m . of for which s e
The sum of all real values
s e
, is
l a
A.
g l a B. ag
C.
a D.
66. Suppose are in arithmetic progression such that and ,
. Then, equals.
A. 204 B. -194
C. 206
o
D.
m-196
.c
67.
s em
Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take
g la
8 days working 5 hours per day to complete the same task. They decide to work together to complete
a the number of hours per day as Renu, while Renu agrees to
this task. Seema agrees to work for double
work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days
Seema will work, is
(TITA — type in your answer)
68. For any natural number , let be the largest integer not exceeding . Then the value of
is
m
m
(TITA — type in your answer)
.co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 22 of 23
Page 24
Answer Key
Section I — Verbal Ability & Reading Comprehension
Q.No 1 2 3 4 5 6 7 8 9 10
Ans D D D A A B B C A A
Q.No 11 12 13 14 15 16 17 18 19 20
Ans C D B B B C A B B 1
Q.No 21 22 23 24
Ans D 2 B B
Section II — Data Interpretation & Logical Reasoning
Q.No 25 26 27 28 29 30 31 32 33 34
Ans 8 4 B 3 5 3 2 4 C D
Q.No 35 36 37 38 39 40 41 42 43 44
Ans 4 C D 45 C 2 C D C C
Q.No 45 46
Ans B B
Section III — Quantitative Ability
Q.No 47 48 49 50 51 52 53 54 55 56
Ans C B 15 31 A B 38 31 B B
Q.No 57 58 59 60 61 62 63 64 65 66
Ans B B A D A B 10 66 B B
Q.No 67 68
Ans 6 217
MCQ answers are the correct option letter (A–D). TITA answers are the numeric/sequence value.
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