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CAT 2020 Slot 1 Question Paper

CAT 2020 · Slot 1VARC · 26qDILR · 24qQA · 26q76 questions+3 / −1
Verbal Ability & RCQ1–Q26 · 26 questions
1
Reading ComprehensionMEDIUM

The author makes all of the following arguments in the passage, EXCEPT:

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2
Reading ComprehensionMEDIUM

The author believes that the new ruling class of politicians betrayed the principles of the French Revolution, but does not specify in what way. In the context of the passage, which statement below is the likeliest explanation of that betrayal?

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3
Reading ComprehensionMEDIUM

Which one of the following best expresses the similarity between American individualist anarchists and free-market liberals as well as the difference between the former and the latter?

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4
Reading ComprehensionMEDIUM

Of the following sets of concepts, identify the set that is conceptually closest to the concerns of the passage.

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5
Reading ComprehensionMEDIUM

According to the passage, what is the one idea that is common to all forms of anarchism?

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6
Reading ComprehensionEASY

During the Tang period, which one of the following would not be an economically sound decision for a small purchase in the local market that is worth one-eighth of a bolt of cloth?

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7
Reading ComprehensionMEDIUM

When discussing textiles as currency in the Tang period, the author uses the words “steady” and “stable” to indicate all of the following EXCEPT:

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8
Reading ComprehensionEASY

In the context of the passage, which one of the following can be inferred with regard to the use of currency during the Tang era?

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9
Reading ComprehensionHARD

According to the passage, the modern currency system shares all the following features with that of the Tang, EXCEPT that:

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10
Reading ComprehensionMEDIUM

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

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11
Reading ComprehensionMEDIUM

“Take any noun, put it with any verb, and you have a sentence. It never fails. Rocks explode. Jane transmits. Mountains float.” None of the following statements can be seen as similar EXCEPT:

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12
Reading ComprehensionHARD

Which one of the following quotes best captures the main concern of the passage?

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13
Reading ComprehensionMEDIUM

All of the following statements can be inferred from the passage EXCEPT that:

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14
Reading ComprehensionMEDIUM

Inferring from the passage, the author could be most supportive of which one of the following practices?

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15
Reading ComprehensionHARD

All of the following can be inferred from Le Boeuf’s study as described in the passage EXCEPT that:

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16
Reading ComprehensionHARD

Which one of the following conditions, if true, could have ensured that male northern elephant seal dialects did not disappear?

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17
Reading ComprehensionMEDIUM

Which one of the following best sums up the overall history of transformation of male northern elephant seal calls?

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18
Reading ComprehensionMEDIUM

From the passage it can be inferred that the call pulse rate of male northern elephant seals in the southern rookeries was faster because:

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19
Odd one outHARDTITA

Five jumbled up sentences, related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd one out and key in the number of the sentence as your answer:

1. For feminists, the question of how we read is inextricably linked with the question of what we read.
2. Elaine Showalter’s critique of the literary curriculum is exemplary of this work.
3. Androcentric literature structures the reading experience differently depending on the gender of the reader.
4. The documentation of this realization was one of the earliest tasks undertaken by feminist critics.
5. More specifically, the feminist inquiry into the activity of reading begins with the realization that the literary canon is androcentric, and that this has a profoundly damaging effect on women readers.

20
Para SummaryMEDIUM

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

For nearly a century most psychologists have embraced one view of intelligence. Individuals are born with more or less intelligence potential (I.Q.); this potential is heavily influenced by heredity and difficult to alter; experts in measurement can determine a person’s intelligence early in life, currently from paper-and-pencil measures, perhaps eventually from examining the brain in action or even scrutinizing his/her genome. Recently, criticism of this conventional wisdom has mounted. Biologists ask if speaking of a single entity called “intelligence” is coherent and question the validity of measures used to estimate heritability of a trait in humans, who, unlike plants or animals, are not conceived and bred under controlled conditions.

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21
Para JumblesHARDTITA

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

1. Relying on narrative structure alone, indigenous significances of nineteenth-century San folktales are hard to determine.
2. Using their supernatural potency, benign shamans transcend the levels of the San cosmos in order to deal with social conflict and to protect material resources and enjoy a measure of respect that sets them apart from ordinary people.
3. Selected tales reveal that they deal with a form of spiritual conflict that has social implications and concern conflict between people and living or dead malevolent shamans.
4. Meaning can be elicited, and the tales contextualized, by probing beneath the narrative of verbatim, original-language records and exploring the connotations of highly significant words and phrases.

22
Para SummaryHARD

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

As Soviet power declined, the world became to some extent multipolar, and Europe strove to define an independent identity. What a journey Europe has undertaken to reach this point. It had in every century changed its internal structure and invented new ways of thinking about the nature of international order. Now at the culmination of an era, Europe, in order to participate in it, felt obliged to set aside the political mechanisms through which it had conducted its affairs for three and a half centuries. Impelled also by the desire to cushion the emergent unification of Germany, the new European Union established a common currency in 2002 and a formal political structure in 2004. It proclaimed a Europe united, whole, and free, adjusting its differences by peaceful mechanisms.

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23
Para SummaryEASY

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

For years, movies and television series like Crime Scene Investigation (CSI) paint an unrealistic picture of the “science of voices.” In the 1994 movie Clear and Present Danger an expert listens to a brief recorded utterance and declares that the speaker is “Cuban, aged 35 to 45, educated in the [...] eastern United States.” The recording is then fed to a supercomputer that matches the voice to that of a suspect, concluding that the probability of correct identification is 90%. This sequence sums up a good number of misimpressions about forensic phonetics, which have led to errors in real- life justice. Indeed, that movie scene exemplifies the so-called “CSI effect”—the phenomenon in which judges hold unrealistic expectations of the capabilities of forensic science.

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24
Para JumblesMEDIUMTITA

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

1. Tensions and sometimes conflict remain an issue in and between the 11 states in South East Asia (Brunei Darussalam, Cambodia, Indonesia, Laos, Malaysia, Myanmar, the Philippines, Singapore, Thailand, Timor-Leste and Vietnam).
2. China’s rise as a regional military power and its claims in the South China Sea have become an increasingly pressing security concern for many South East Asian states.
3. Since the 1990s, the security environment of South East Asia has seen both continuity and profound changes.
4. These concerns cause states from outside the region to take an active interest in South East Asian security.

25
Odd one outMEDIUMTITA

Five jumbled up sentences, related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd one out and key in the number of the sentence as your answer:

1. Talk was the most common way for enslaved men and women to subvert the rules of their bondage, to gain more agency than they were supposed to have.
2. Even in conditions of extreme violence and unfreedom, their words remained ubiquitous, ephemeral, irrepressible, and potentially transgressive.
3. Slaves came from societies in which oaths, orations, and invocations carried great potency, both between people and as a connection to the all-powerful spirit world.
4. Freedom of speech and the power to silence may have been preeminent markers of white liberty in Colonies, but at the same time, slavery depended on dialogue: slaves could never be completely muted.
5. Slave-owners obsessed over slave talk, though they could never control it, yet feared its power to bind and inspire—for, as everyone knew, oaths, whispers, and secret conversations bred conspiracy and revolt.

26
Para JumblesMEDIUMTITA

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

1. Man has used poisons for assassination purposes ever since the dawn of civilization, against individual enemies but also occasionally against armies.
2. These dangers were soon recognized, and resulted in two international declarations—in 1874 in Brussels and in 1899 in The Hague—that prohibited the use of poisoned weapons.
3. The foundation of microbiology by Louis Pasteur and Robert Koch offered new prospects for those interested in biological weapons because it allowed agents to be chosen and designed on a rational basis.
4. Though treaties were all made in good faith, they contained no means of control, and so fail

Data Interpretation & LRQ27–Q50 · 24 questions
27
Data Interpretation BasicsEASY

Who among the following did not appear for the Mathematics examination?

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28
Data Interpretation BasicsEASY

Which students did not appear for the English examination?

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29
Data Interpretation BasicsEASY

What BEST can be concluded about the students who did not appear for the Hindi examination?

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30
Data Interpretation BasicsMEDIUM

What BEST can be concluded about the students who missed the Science examination?

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31
Data Interpretation BasicsMEDIUMTITA

How many out of these six students missed exactly one examination?

32
Data Interpretation BasicsMEDIUMTITA

For how many students can we be definite about which examinations they missed?

33
Venn DiagramsEASY

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?

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34
Venn DiagramsEASY

Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?

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35
Venn DiagramsEASY

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?

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36
Venn DiagramsEASY

If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?

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37
Maxima-MinimaMEDIUM

If Damodaran does not get a bonus, what is the maximum possible value of his final rating?

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38
Maxima-MinimaMEDIUM

If Eman gets a bonus, what is the minimum possible value of his final rating?

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39
Maxima-MinimaMEDIUM

If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?

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40
Maxima-MinimaMEDIUM

If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?

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41
Venn DiagramsMEDIUMTITA

How many patients were treated with medicine type B?

42
Venn DiagramsMEDIUMTITA

The number of patients who were treated with medicine types B, C and D, but not type A was:

43
Venn DiagramsMEDIUMTITA

How many patients were treated with medicine types B and D only?

44
Venn DiagramsMEDIUMTITA

The number of patients who were treated with medicine type D was:

45
PuzzlesMEDIUM

In which of the following years were there two or more contracts?

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46
PuzzlesHARD

Which of the following is true?

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47
PuzzlesHARD

In how many years during this period was there only one contract?

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48
PuzzlesHARD

What BEST can be concluded about the number of contracts in 2010?

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49
PuzzlesHARD

Which institutes had multiple contracts during the same year?

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50
PuzzlesHARD

Which institutes and vendors had more than one contracts in any year?

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Quantitative AbilityQ51–Q76 · 26 questions
51
Logarithms, Surds and IndicesMEDIUM

If Y is a negative number such that 2Y2(log⁡35)=5log⁡232^{Y^2({\log_{3}{5})}}=5^{\log_{2}{3}}2Y2(log3​5)=5log2​3, then Y equals to:

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52
Linear EquationsMEDIUMTITA

A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of 5 children. How many toffees were there in his stock initially?

53
Number SystemsMEDIUMTITA

How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7?

54
Functions, Graphs and StatisticsMEDIUM

The number of real-valued solutions of the equation 2x+2−x=2−(x−2)22^{x}+2^{-x}=2-(x-2)^{2}2x+2−x=2−(x−2)2 is:

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55
Quadratic EquationsMEDIUM

How many disticnt positive integer-valued solutions exist to the equation (x2−7x+11)(x2−13x+42)=1(x^{2}-7x+11)^{(x^{2}-13x+42)}=1(x2−7x+11)(x2−13x+42)=1 ?

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56
GeometryMEDIUM

A solid right circular cone of height 27 cm is cut into two pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is

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57
Functions, Graphs and StatisticsHARDTITA

The area of the region satisfying the inequalities ∣x∣−y≤1,y≥0\mid x\mid-y\leq1,y\geq0∣x∣−y≤1,y≥0 and y≤1y\leq1y≤1 is

58
GeometryMEDIUM

On a rectangular metal sheet of area 135 sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is

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59
GeometryMEDIUM

A circle is inscribed in a rhombus with diagonals 12 cm and 16 cm. The ratio of the area of circle to the area of rhombus is

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60
InequalitiesMEDIUM

Among 100 students, x1x_1x1​ have birthdays in January, X2X_2X2​ have birthdays in February, and so on. If x0=max(x1,x2,....,x12)x_0=max(x_1,x_2,....,x_{12})x0​=max(x1​,x2​,....,x12​), then the smallest possible value of x0x_0x0​ is

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61
Time, Speed and DistanceEASY

A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is

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62
Profit and LossEASYTITA

A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at 20% profit and the laptop at 10% loss. If overall he made a 2% profit then the purchase price, in rupees, of the desktop is

63
Mixtures and SolutionsMEDIUMTITA

A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3?

64
Logarithms, Surds and IndicesMEDIUM

If x=(4096)7+43x=(4096)^{7+4\sqrt{3}}x=(4096)7+43​, then which of the following equals to 64?

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65
Mixtures and SolutionsMEDIUM

An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A. B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg. of the metal C is

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66
Quadratic EquationsMEDIUMTITA

The number of distinct real roots of the equation (x+1x)2−3(x+1x)+2=0(x+\frac{1}{x})^{2}-3(x+\frac{1}{x})+2=0(x+x1​)2−3(x+x1​)+2=0 equals

67
Logarithms, Surds and IndicesMEDIUMTITA

If log⁡45=(log⁡4y)(log⁡65)\log_{4}{5}=(\log_{4}{y})(\log_{6}{\sqrt{5}})log4​5=(log4​y)(log6​5​), then y equals

68
Time, Speed and DistanceEASY

Leaving home at the same time, Amal reaches the office at 10:15 am if he travels at 8 km/hr, and at 9:40 am if he travels at 15 km/hr. Leaving home at 9.10 am, at what speed, in km/hr, must he travel so as to reach office exactly at 10 am?

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69
Time, Speed and DistanceMEDIUM

A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to

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70
Number SystemsMEDIUM

The mean of all 4-digit even natural numbers of the form 'aabb',where a>0, is

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71
Time, Speed and DistanceMEDIUM

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to

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72
Number SystemsMEDIUM

If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is

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73
Profit and LossMEDIUM

In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to

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74
InterestMEDIUMTITA

Veeru invested Rs 10000 at 5% simple annual interest, and exactly after two years, Joy invested Rs 8000 at 10% simple annual interest. How many years after Veeru’s investment, will their balances, i.e., principal plus accumulated interest, be equal?

75
Functions, Graphs and StatisticsHARD

If f(5+x)=f(5−x)f(5+x)=f(5-x)f(5+x)=f(5−x) for every real x, and f(x)=0f(x)=0f(x)=0 has four distinct real roots, then the sum of these roots is

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76
Linear EquationsMEDIUM

Let A, B and C be three positive integers such that the sum of A and the mean of B and C is 5. In addition, the sum of B and the mean of A and C is 7. Then the sum of A and B is

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