CAT 2020 Question Paper (Slot 1) PDF

SLOT-1 CAT 2020 Question Paper (Solutions) https://online.bodheeprep.com CAT 2020 question paper (slot-1) CAT VARC Section Direction for Reading Comprehension: The passages given here are followed by some questions that have four answer choices; read the passage carefully and pick the option whose answer best aligns with the passage In the late 1960s, while studying the northern-elephant-seal population along the coasts of Mexico and California, Burney Le Boeuf and his colleagues couldn’t help but notice that the threat calls of males at some sites sounded different from those of males at other sites.... That was the first time dialects were documented in a nonhuman mammal.... All the northern elephant seals that exist today are descendants of the small herd that survived on Isla Guadalupe [after the near extinction of the species in the nineteenth century]. As that tiny population grew, northern elephant seals started to recolonize former breeding locations. It was precisely on the more recently colonized islands where Le Boeuf found that the tempos of the male vocal displays showed stronger differences to the ones from Isla Guadalupe, the founder colony. In order to test the reliability of these dialects over time, Le Boeuf and other researchers visited Año Nuevo Island in California—the island where males showed the slowest pulse rates in their calls—every winter from 1968 to 1972. “What we found is that the pulse rate increased, but it still remained relatively slow compared to the other colonies we had measured in the past” Le Boeuf told me. At the individual level, the pulse of the calls stayed the same: A male would maintain his vocal signature throughout his lifetime. But the average pulse rate was changing. Immigration could have been responsible for this increase, as in the early 1970s, 43 percent of the males on Año Nuevo had come from southern rookeries that had a faster pulse rate. This led Le Boeuf and his collaborator, Lewis Petrinovich, to deduce that the dialects were, perhaps, a result of isolation over time, after the breeding sites had been recolonized. For instance, the first settlers of Año Nuevo could have had, by chance, calls with low pulse rates. At other sites, where the scientists found faster pulse rates, the opposite would have happened—seals with faster rates would have happened to arrive first. https://online.bodheeprep.com CAT 2020 question paper (slot-1) As the population continued to expand and the islands kept on receiving immigrants from the original population, the calls in all locations would have eventually regressed to the average pulse rate of the founder colony. In the decades that followed, scientists noticed that the geographical variations reported in 1969 were not obvious anymore.... In the early 2010s, while studying northern elephant seals on Año Nuevo Island, [researcher Caroline] Casey noticed, too, that what Le Boeuf had heard decades ago was not what she heard now.... By performing more sophisticated statistical analyses on both sets of data, [Casey and Le Boeuf] confirmed that dialects existed back then but had vanished. Yet there are other differences between the males from the late 1960s and their great-great- grandsons: Modern males exhibit more individual diversity, and their calls are more complex. While 50 years ago the drumming pattern was quite simple and the dialects denoted just a change in tempo, Casey explained, the calls recorded today have more complex structures, sometimes featuring doublets or triplets.... Q.1 From the passage it can be inferred that the call pulse rate of male northern elephant seals in the southern rookeries was faster because: 1. a large number of male northern elephant seals from Año Nuevo Island might have migrated to the southern rookeries to recolonise them. 2. a large number of male northern elephant seals migrated from the southern rookeries to Año Nuevo Island in the early 1970s. 3. the male northern elephant seals of Isla Guadalupe with faster call pulse rates might have been the original settlers of the southern rookeries. 4. the calls of male northern elephant seals in the southern rookeries have more sophisticated structures, containing doublets and triplets. Q.2 Which one of the following conditions, if true, could have ensured that male northern elephant seal dialects did not disappear? 1. The call tempo of individual immigrant male seals changed to match the average tempo of resident male seals in the host colony. 2. Besides Isla Guadalupe, there was one more founder colony with the same average male call tempo from which male seals migrated to various other colonies. https://online.bodheeprep.com CAT 2020 question paper (slot-1) 3. The call tempo of individual male seals in host colonies changed to match the average call tempo of immigrant male seals. 4. Besides Isla Guadalupe, there was one more surviving colony with the same average male call tempo from which no migration took place. Q.3 Which one of the following best sums up the overall history of transformation of male northern elephant seal calls? 1. The calls have transformed from exhibiting simple composition, great individual variety, and less regional variety to complex composition, less individual variety, and great regional variety. 2. Owing to migrations in the aftermath of near species extinction, the average call pulse rates in the recolonised breeding locations exhibited a gradual increase until they matched the tempo at the founding colony. 3. The calls have transformed from exhibiting simple composition, less individual variety, and great regional variety to complex composition, great individual variety, and less regional variety. 4. Owing to migrations in the aftermath of near species extinction, the calls have transformed from exhibiting complex composition, less individual variety, and great regional variety to simple composition, less individual variety, and great regional variety. Q.4 All of the following can be inferred from Le Boeuf’s study as described in the passage EXCEPT that: 1. male northern elephant seals might not have exhibited dialects had they not become nearly extinct in the nineteenth century. 2. the average call pulse rate of male northern elephant seals at Año Nuevo Island increased from the early 1970s till the disappearance of dialects. 3. the influx of new northern elephant seals into Año Nuevo Island would have soon made the call pulse rate of its male seals exceed that of those at Isla Guadalupe. 4. changes in population and migration had no effect on the call pulse rate of individual male northern elephant seals. https://online.bodheeprep.com CAT 2020 question paper (slot-1) Direction for Reading Comprehension: The pass ages given here are followed by some questions that have four answer choices; read the passage carefully and pick the option whose answer best aligns with the passage Vocabulary used in speech or writing organizes itself in seven parts of speech (eight, if you count interjections such as Oh! and Gosh! and Fuhgeddaboudit!). Communication composed of these parts of speech must be organized by rules of grammar upon which we agree. When these rules break down, confusion and misunderstanding result. Bad grammar produces bad sentences. My favorite example from Strunk and White is this one: “As a mother of five, with another one on the way, my ironing board is always up.” Nouns and verbs are the two indispensable parts of writing. Without one of each, no group of words can be a sentence, since a sentence is, by definition, a group of words containing a subject (noun) and a predicate (verb); these strings of words begin with a capital letter, end with a period, and combine to make a complete thought which starts in the writer’s head and then leaps to the reader’s. Must you write complete sentences each time, every time? Perish the thought. If your work consists only of fragments and floating clauses, the Grammar Police aren’t going to come and take you away. Even William Strunk, that Mussolini of rhetoric, recognized the delicious pliability of language. “It is an old observation,” he writes, “that the best writers sometimes disregard the rules of rhetoric.” Yet he goes on to add this thought, which I urge you to consider: “Unless he is certain of doing well, [the writer] will probably do best to follow the rules.” The telling clause here is Unless he is certain of doing well. If you don’t have a rudimentary grasp of how the parts of speech translate into coherent sentences, how can you be certain that you are doing well? How will you know if you’re doing ill, for that matter? The answer, of course, is that you can’t, you won’t. One who does grasp the rudiments of grammar finds a comforting simplicity at its heart, where there need be only nouns, the words that name, and verbs, the words that act. Take any noun, put it with any verb, and you have a sentence. It never fails. Rocks explode. Jane transmits. Mountains float. These are all perfect sentences. Many such thoughts make https://online.bodheeprep.com CAT 2020 question paper (slot-1) little rational sense, but even the stranger ones (Plums deify!) have a kind of poetic weight that’s nice. The simplicity of noun-verb construction is useful—at the very least it can provide a safety net for your writing. Strunk and White caution against too many simple sentences in a row, but simple sentences provide a path you can follow when you fear getting lost in the tangles of rhetoric—all those restrictive and nonrestrictive clauses, those modifying phrases, those appositives and compound-complex sentences. If you start to freak out at the sight of such unmapped territory (unmapped by you, at least), just remind yourself that rocks explode, Jane transmits, mountains float, and plums deify. Grammar is... the pole you grab to get your thoughts up on their feet and walking. [QUESTION] Q.5 Inferring from the passage, the author could be most supportive of which one of the following practices? 1. The critique of standardised rules of punctuation and capitalisation. 2. A campaign demanding that a writer’s creative license should allow the breaking of grammatical rules. 3. A Creative Writing course that focuses on how to avoid the use of rhetoric. 4. The availability of language software that will standardise the rules of grammar as an aid to writers Q.6 “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: 1. Take an apple tree, plant it in a field, and you have an orchard. 2. A group of nouns arranged in a row becomes a sentence. 3. A collection of people with the same sports equipment is a sports team. 4. Take any vegetable, put some spices in it, and you have a dish. Q.7 All of the following statements can be inferred from the passage EXCEPT that: 1. the primary purpose of grammar is to ensure that sentences remain simple. 2. the subject–predicate relation is the same as the noun–verb relation. https://online.bodheeprep.com CAT 2020 question paper (slot-1) 3. “Grammar Police” is a metaphor for critics who focus on linguistic rules. 4. sentences do not always have to be complete. Q.8 Which one of the following quotes best captures the main concern of the passage? 1. “Bad grammar produces bad sentences.” 2. “The telling clause here is Unless he is certain of doing well.” 3. “Nouns and verbs are the two indispensable parts of writing. Without one of each, no group of words can be a sentence...” 4. “Strunk and White caution against too many simple sentences in a row, but simple sentences provide a path you can follow when you fear getting lost in the tangles of rhetoric...” Q.9 Which one of the following statements, if false, could be seen as supporting the arguments in the passage? 1. An understanding of grammar helps a writer decide if she/he is writing well or not. 2. Perish the thought that complete sentences necessarily need nouns and verbs! 3. Regarding grammar, women writers tend to be more attentive to method and accuracy. 4. It has been observed that writers sometimes disregard the rules of rhetoric. Direction for Reading Comprehension: The pass ages given here are followed by some questions that have four answer choices; read the passage carefully and pick the option whose answer best aligns with the passage Few realise that the government of China, governing an empire of some 60 million people during the Tang dynasty (618–907), implemented a complex financial system that recognised grain, coins and textiles as money.... Coins did have certain advantages: they were durable, recognisable and provided a convenient medium of exchange, especially for smaller transactions. However, there were also disadvantages. A continuing shortage of copper meant that government mints could not produce enough coins for the entire empire, to the extent that for most of the dynasty’s history, coins constituted only a tenth of the money supply. One of the main objections to calls for taxes to be paid in coin was that peasant producers who could weave cloth or grow grain – the other two major currencies of https://online.bodheeprep.com CAT 2020 question paper (slot-1) the Tang –would not be able to produce coins, and therefore would not be able to pay their taxes.... As coins had advantages and disadvantages, so too did textiles. If in circulation for a long period of time, they could show signs of wear and tear. Stained, faded and torn bolts of textiles had less value than a brand new bolt. Furthermore, a full bolt had a particular value. If consumers cut textiles into smaller pieces to buy or sell something worth less than a full bolt, that, too, greatly lessened the value of the textiles. Unlike coins, textiles could not be used for small transactions; as [an official] noted, textiles could not “be exchanged by the foot and the inch”... But textiles had some advantages over coins. For a start, textile production was widespread and there were fewer problems with the supply of textiles. For large transactions, textiles weighed less than their equivalent in coins since a string of coins... could weigh as much as 4 kg. Furthermore, the dimensions of a bolt of silk held remarkably steady from the third to the tenth century: 56 cm wide and 12 m long... The values of different textiles were also more stable than the fluctuating values of coins.... The government also required the use of textiles for large transactions. Coins, on the other hand, were better suited for smaller transactions, and possibly, given the costs of transporting coins, for a more local usage. Grain, because it rotted easily, was not used nearly as much as coins and textiles, but taxpayers were required to pay grain to the government as a share of their annual tax obligations, and official salaries were expressed in weights of grain.... In actuality, our own currency system today has some similarities even as it is changing in front of our eyes.... We have cash – coins for small transactions like paying for parking at a meter, and banknotes for other items; cheques and debit/credit cards for other, often larger, types of payments. At the same time, we are shifting to electronic banking and making payments online. Some young people never use cash [and] do not know how to write a cheque... Q.10 According to the passage, the modern currency system shares all the following features with that of the Tang, EXCEPT that: https://online.bodheeprep.com CAT 2020 question paper (slot-1) 1. it uses different materials as currency. 2. it is undergoing transformation. 3. its currencies fluctuate in value over time. 4. it uses different currencies for different situations. Q.11 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? 1. Currency that deteriorated easily was not used for official work. 2. Copper coins were more valuable and durable than textiles. 3. Currency usage was similar to that of modern times. 4. Grains were the most used currency because of government requirements. Q.12 When discussing textiles as currency in the Tang period, the author uses the words “steady” and “stable” to indicate all of the following EXCEPT: 1. reliable transportation. 2. reliable supply. 3. reliable measurements. 4. reliable quality. Q.13 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? 1. Paying with a faded bolt of cloth that has approximately the same value. 2. Making the payment with the appropriate weight of grain. 3. Using coins issued by the government to make the payment. 4. Cutting one-eighth of the fabric from a new bolt to pay the amount. Direction for Reading Comprehension: The pass ages given here are followed by some questions that have four answer choices; read the passage carefully and pick the option whose answer best aligns with the passage The word ‘anarchy’ comes from the Greek anarkhia, meaning contrary to authority or without a ruler, and was used in a derogatory sense until 1840, when it was adopted by https://online.bodheeprep.com CAT 2020 question paper (slot-1) Pierre-Joseph Proudhon to describe his political and social ideology. Proudhon argued that organization without government was both possible and desirable. In the evolution of political ideas, anarchism can be seen as an ultimate projection of both liberalism and socialism, and the differing strands of anarchist thought can be related to their emphasis on one or the other of these. Historically, anarchism arose not only as an explanation of the gulf between the rich and the poor in any community, and of the reason why the poor have been obliged to fight for their share of a common inheritance, but as a radical answer to the question ‘What went wrong?’ that followed the ultimate outcome of the French Revolution. It had ended not only with a reign of terror and the emergence of a newly rich ruling caste, but with a new adored emperor, Napoleon Bonaparte, strutting through his conquered territories. The anarchists and their precursors were unique on the political Left in affirming that workers and peasants, grasping the chance that arose to bring an end to centuries of exploitation and tyranny, were inevitably betrayed by the new class of politicians, whose first priority was to re-establish a centralized state power. After every revolutionary uprising, usually won at a heavy cost for ordinary populations, the new rulers had no hesitation in applying violence and terror, a secret police, and a professional army to maintain their control. For anarchists the state itself is the enemy, and they have applied the same interpretation to the outcome of every revolution of the 19th and 20th centuries. This is not merely because every state keeps a watchful and sometimes punitive eye on its dissidents, but because every state protects the privileges of the powerful. The mainstream of anarchist propaganda for more than a century has been anarchistcommunism, which argues that property in land, natural resources, and the means of production should be held in mutual control by local communities, federating for innumerable joint purposes with other communes. It differs from state socialism in opposing the concept of any central authority. Some anarchists prefer to distinguish between anarchist-communism and collectivist anarchism in order to stress the obviously desirable freedom of an individual or family to possess the resources needed for living, while not implying the right to own the resources needed by others.... https://online.bodheeprep.com CAT 2020 question paper (slot-1) There are, unsurprisingly, several traditions of individualist anarchism, one of them deriving from the ‘conscious egoism’ of the German writer Max Stirner (1806–56), and another from a remarkable series of 19th-century American figures who argued that in protecting our own autonomy and associating with others for common advantages, we are promoting the good of all. These thinkers differed from free-market liberals in their absolute mistrust of American capitalism, and in their emphasis on mutualism. Q.14 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? 1. The new ruling class was constituted mainly of anarchists who were against the destructive impact of the Revolution on the market. 2. The anarchists did not want a new ruling class, but were not politically strong enough to stop them. 3. The new ruling class struck a deal with the old ruling class to share power between them. 4. The new ruling class rode to power on the strength of the workers’ revolutionary anger, but then turned to oppress that very class. Q.15 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? 1. Both reject the regulatory power of the state; but the former favour a people’s state, while the latter favour state intervention in markets. 2. Both prioritise individual autonomy; but the former also emphasise mutual dependence, while the latter do not do so. 3. Both are sophisticated arguments for capitalism; but the former argue for a morally upright capitalism, while the latter argue that the market is the only morality. 4. Both are founded on the moral principles of altruism; but the latter conceive of the market as a force too mystical for the former to comprehend. Q.16 The author makes all of the following arguments in the passage, EXCEPT: https://online.bodheeprep.com CAT 2020 question paper (slot-1) 1. The failure of the French Revolution was because of its betrayal by the new class of politicians who emerged from it. 2. The popular perception of anarchism as espousing lawlessness and violence comes from a mainstream mistrust of collectivism. 3. Individualist anarchism is actually constituted of many streams, all of which focus on the autonomy of the individual. 4. For anarchists, the state is the enemy because all states apply violence and terror to maintain their control. Q.17 According to the passage, what is the one idea that is common to all forms of anarchism? 1. There is no idea common to all forms of anarchism; that is why it is anarchic. 2. They all derive from the work of Pierre-Joseph Proudhon. 3. They are all opposed to the centralisation of power in the state. 4. They all focus on the primacy of the power of the individual. Q.18 Of the following sets of concepts, identify the set that is conceptually closest to the concerns of the passage. 1. Revolution, State, Strike, Egoism. 2. Revolution, State, Protection, Liberals. 3. Anarchism, State, Individual, Freedom. 4. Anarchism, Betrayal, Power, State. Q.19 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. https://online.bodheeprep.com CAT 2020 question paper (slot-1) 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. Q.20 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. Q.21 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. https://online.bodheeprep.com CAT 2020 question paper (slot-1) 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. Q.22 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. 1. Europe has consistently changed its internal structure to successfully adapt to the changing world order. 2. Europe has consistently changed in keeping with the changing world order and that has culminated in a united Europe. 3. The establishment of a formal political structure in Europe was hastened by the unification of Germany and the emergence of a multipolar world. 4. Europe has chosen to lower political and economic heterogeneity, in order to adapt itself to an emerging multi-polar world. Q.23 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 https://online.bodheeprep.com CAT 2020 question paper (slot-1) 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 reallife 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. 1. Although voice recognition is often presented as evidence in legal cases, its scientific basis can be shaky. 2. Movies and televisions have led to the belief that the use of forensic phonetics in legal investigations is robust and fool proof. 3. Voice recognition as used in many movies to identify criminals has been used to identify criminals in real life also. 4. Voice recognition has started to feature prominently in crime-scene intelligence investigations because of movies and television series. Q.24 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. 1. Biologists have questioned the long-standing view that ‘intelligence’ is a single entity and the attempts to estimate its heritability. 2. Biologists have started questioning psychologists' view of 'intelligence' as a measurable immutable characteristic of an individual. 3. Biologists have questioned the view that ‘intelligence’ is a single entity and the ways in which what is inherited. https://online.bodheeprep.com CAT 2020 question paper (slot-1) 4. Biologists have criticised that conventional wisdom that individuals are born with more or less intelligence potential. Q.25 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. Q.26 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 failed to prevent interested parties from developing and using biological weapons. https://online.bodheeprep.com CAT 2020 question paper (slot-1) CAT LRDI Section The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below: P1: timely arrival P2: behaviour P3: comfortable ride P4: driver's familiarity with the route P5: value for money Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters. The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below: The following additional facts are known. https://online.bodheeprep.com CAT 2020 question paper (slot-1) 1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters. 2. None of drivers has got the same rating in three parameters. Q.27. If Damodaran does not get a bonus, what is the maximum possible value of his final rating? 1. 3.8 2. 3.4 3. 3.6 4. 3.2 Q.28. If Eman gets a bonus, what is the minimum possible value of his final rating? 1. 3.0 2. 3.2 3. 2.8 4. 3.4 Q.29. If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets? 1. 1740 2. 1600 3. 1700 4. 1750 Q.30. If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets? 1. 1960 2. 1950 3. 1900 4. 2050 https://online.bodheeprep.com CAT 2020 question paper (slot-1) Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam. The following facts are known about these ten musicians. 1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla. 2. D is an expert in both tabla and ghatam. 3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam. 4. Neither I nor J is an expert in tabla. 5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam. Q.31. Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam? 1. C 2. H 3. A 4. F Q.32. Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam? 1. B 2. G 3. J 4. E https://online.bodheeprep.com CAT 2020 question paper (slot-1) Q.33. Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam? 1. A and B 2. C and F 3. C and E 4. F and G Q.34. 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? 1. C, E and G 2. C, G and H 3. E, G and H 4. E, F and H Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or single-year contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes. The following facts are also known about these contracts. I. Vendor Z had at least one contract in every year. II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012. IV. There were five contracts in 2012. V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4- year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts. VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011. https://online.bodheeprep.com CAT 2020 question paper (slot-1) VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010. Q.35. In which of the following years were there two or more contracts? 1. 2018 2. 2017 3. 2015 4. 2016 Q.36. Which of the following is true? 1. D had a contract with Y in 2019 2. D had a contract with X in 2011 3. B had a contract with Y in 2019 4. B had a contract with Z in 2017 Q.37. In how many years during this period was there only one contract? 1. 4 2. 2 3. 3 4. 5 Q.38. What BEST can be concluded about the number of contracts in 2010? 1. exactly 4 2. at least 4 3. exactly 3 4. at least 3 Q.39. Which institutes had multiple contracts during the same year? 1. B and C only 2. A only 3. B only 4. A and B only https://online.bodheeprep.com CAT 2020 question paper (slot-1) Q.40. Which institutes and vendors had more than one contracts in any year? 1. A, D, W, and Z 2. B, W, X, and Z 3. B, D, W, and X 4. A, B, W, and X In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations. The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations. If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for. If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for. The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations. https://online.bodheeprep.com CAT 2020 question paper (slot-1) The following facts are also known. I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations. II. The student who missed the Mathematics examination did not miss any other examination. III. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination. Q.41. Who among the following did not appear for the Mathematics examination? 1. Foni 2. Alva 3. Esha 4. Carl Q.42. Which students did not appear for the English examination? 1. Alva and Bithi 2. Carl and Deep 3. Esha and Foni 4. Cannot be determined Q.43. What BEST can be concluded about the students who did not appear for the Hindi examination? 1. Alva and Deep 2. Deep and Esha 3. Alva and Esha 4. Two among Alva, Deep and Esha Q.44. What BEST can be concluded about the students who missed the Science examination? 1. Alva and Bithi https://online.bodheeprep.com CAT 2020 question paper (slot-1) 2. Deep and Bithi 3. Alva and Deep 4. Bithi and one out of Alva and Deep Q.45. How many out of these six students missed exactly one examination? Q.46. For how many students can we be definite about which examinations they missed? 1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines — A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group. a. A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine. b. 25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only. c. 35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only. d. 100 patients were treated with exactly three types of medicines. e. 40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type B. f. 50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine Q.47. How many patients were treated with medicine type B? Q.48. The number of patients who were treated with medicine types B, C and D, but not type A was: https://online.bodheeprep.com CAT 2020 question paper (slot-1) Q.49. How many patients were treated with medicine types B and D only? Q. 50. The number of patients who were treated with medicine type D was: https://online.bodheeprep.com CAT 2020 question paper (slot-1) CAT Quant Section Q.51. How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7? Q.52. 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? Q.53. 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 1. 70 2. 96 3. 48 4. 84 Q.54. 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  9 1. 5   3     5 6 2. 3     2    12  3. 3   5       9 4. 4   3       Q.55. If log 4 5   log 4 y  log 6 5 , then y equals Q.56. 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 https://online.bodheeprep.com CAT 2020 question paper (slot-1) seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to 1. 87 2. 82 3. 75 4. 78 Q.57. The number of real-valued solutions of the equation 2x  2 x  2  ( x  2)2 is 1. infinite 2. 1 3. 0 4. 2 2 Q.58. If y is a negative number such that 2 y log3 5  5log2 3 , then y equals 1. log2 (1/ 3) 2.  log2 (1/ 3) 3. log2 (1/ 5) 4.  log2 (1/ 5) Q.59. How many distinct positive integer-valued solutions exist to the equation  x 13 x  42 2   x 2  7 x  11  1? 1. 6 2. 8 3. 2 4. 4 Q.60. 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 Q. 61. The area of the region satisfying the inequalities | x |  y  1, y  0 and y  1 is https://online.bodheeprep.com CAT 2020 question paper (slot-1) Q. 62. 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 1. 90 2. 100 3. 80 4. 70 Q.63. Among 100 students, x1 have birthdays in January, x2 have birthdays in February, and so on. If x0  max  x1 , x2 ,  , x12  , then the smallest possible value of x0 is 1. 9 2. 10 3. 8 4. 12 Q.64. The mean of all 4 -digit even natural numbers of the form 'aabb', where a >0, is 1. 5050 2. 4466 3. 5544 4. 4864 Q.65. Leaving home at the same time, Amal reaches 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 ? 1. 13 2. 14 3. 12 4. 11 Q.66. 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 https://online.bodheeprep.com CAT 2020 question paper (slot-1) 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 1. 58 2. 67 3. 61 4. 50 Q.67. If x  (4096) 7  4 3 , then which of the following equals 64 ? x7 1. x2 3 x7 2. x4 3 7 x2 3. 4 3 x 7 x2 4. x2 3 Q.68. If f (5  x)  f (5  x) for every real x, and f(x)=0 has four distinct real roots, then the sum of these roots is 1. 0 2. 40 3. 10 4. 20 Q.69. 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 1. 56 2. 59 3. 49 4. 46 https://online.bodheeprep.com CAT 2020 question paper (slot-1) Q.70. 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 1. 62 2. 55 3. 66 4. 59 Q.71. A circle is inscribed in a thombus with diagonals 12 cm and 16 cm. The ratio of the area of circle to the area of rhombus is 5 1. 18 6 2. 25 3 3. 25 2 4. 15 Q.72. 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? Q.73. 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 1. 6 2. 5 3. 7 4. 4 Q.74. 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 https://online.bodheeprep.com CAT 2020 question paper (slot-1) solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3? 2  1  1 Q.75. The number of distinct real roots of the equation  x    3  x    2  0 equals  x   x Q.76. 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 1. 232 2. 256 3. 264 4. 243 https://online.bodheeprep.com CAT 2020 question paper (slot-1) Answer Keys 1. 3 20. 3 39. 4 58. 1 2. 1 21. 3124 40. 4 59. 1 3. 3 22. 4 41. 4 60. 20000 4. 3 23. 2 42. 3 61. 3 5. 4 24. 1 43. 1 62. 1 6. 4 25. 3 44. 4 63. 1 7. 1 26. 1324 45. 3 64. 3 8. 1 27. 3 46. 4 65. 3 9. 2 28. 1 47. 340 66. 2 10. 2 29. 3 48. 10 67. 4 11. 3 30. 1 49. 150 68. 4 12. 1 31. 2 50. 325 69. 4 13. 4 32. 3 51. 21 70. 3 14. 4 33. 3 52. 12 71. 2 15. 2 34. 4 53. 4 72. 62 16. 2 35. 3 54. 3 73. 1 17. 3 36. 1 55. 36 74. 8 18. 3 37. 3 56. 2 75. 1 19. 1432 38. 3 57. 3 76. 4 https://online.bodheeprep.com CAT 2020 question paper (slot-1) Solutions Solution 1: Some questions of this passage are very difficult. We have tried our best to answer the questions for which we found convincing evidence in the passage. This question is an inference question and asks us to mark the option that suggests why the call pulse rate of male northern elephant seals in the southern rookeries was faster. The evidence for this can be seen in the last part of the second last paragraph. In that paragraph we have “this led Le Boeuf to deduce that dialects were a result of isolation over time...for instance, the first settlers of Ano Nuevo could have had, by chance, calls with low pulse rates. At other sites, where scientists found faster pulse rates the opposite would have happened-seals with faster rates would have happened to arrive first”. So if the pulse rate of the elephant seals in southern rookeries was faster, it was because the seals with faster call pulse rates might have been the original settlers (or might have arrived there first). Thus C is the best choice. Option A goes out because if that were the case, then the pulse rates of the seals in southern rookeries would have been slower, not faster. Option B also goes because here the question is migration to southern rookeries and not from southern rookeries. For choice D, there is no evidence whatsoever. [Option: 3] Solution 2: This might look a little difficult, but we have a clear evidence that helps us arrive at the right answer. We must read the first sentence of the last paragraph “as the population continued to expand and the islands kept on receiving immigrants from the original population, the calls in all locations would have eventually regressed to the average pulse rate of the founder colony”. This is a simple concept of average. Now the question is which of the following could have ensured (it means it is asking us for a hypothetical situation) that male northern elephant seals dialects did not disappear. It disappeared because the average changed because of migrant seals. As more and more seals came, the average regressed to https://online.bodheeprep.com CAT 2020 question paper (slot-1) “the pulse rate of the founder colony”. To make the situation opposite, the call tempo of the individual immigrant seal should have changed to match the average tempo of resident male seals of the “host colony.” If option A had happened, the male northern seals dialect would not have disappeared. Option C is the exact opposite of A. We must remember here that the islands kept on receiving immigrants from the original population, and the average pulse rate changed to match the founder colony, not the host colony. That’s why the host colony’s dialects disappeared. Had option A been true, this would not have happened. [Option: 1] Solution 3: This is the only easy question of this passage. The last sentence of the passage says “modern males exhibit more individual diversity, and their calls are more complex...sometimes featuring doublets or triplets”. So to capture the overall history of transformation, we must capture this last part of the passage. There is more of individual variety, but less regional variety. You must be wondering why! The passage clearly tells us that “in the decades that followed, scientists noticed that the geographical variations reported in 1969 were not obvious anymore...”. C is the best choice. A and D go out because they mention “great regional variety”. [Option: 3] Solution 4: This is a difficult question but option elimination can help us arrive at the right answer. We have to mark the answer that cannot be inferred, as it is an EXCEPT question. A can be inferred because the seals exhibited dialects because the population was isolated. This isolation was a result of the seal population being almost on the verge of extinction. Since their numbers were very small, the isolation happened. As the population grew there was immigration to different places and this resulted in disappearance of the dialects. Thus we can infer A. Option B also can be inferred from the para that talks about Ano Nuevo seals. It clearly suggests that the average pulse rate increased from 1970s till the dialects disappeared. Option C is certainly a wrong inference because the influx might have resulted in pulse rate of the seals averaging to that of Isla Guadalupe, but not exceeding. The word https://online.bodheeprep.com CAT 2020 question paper (slot-1) “exceeding” makes this a wrong inference, and therefore the right answer. Option D is exactly true to what the passages, as a whole, discusses. The individual call rate did not change throughout, but the immigration made all the difference, by ensuring influx of seals with higher pulse rate, thus increasing the average pulse rate. [Option: 3] Solution 5: This is the simplest RC passage, and many questions here can be solved effortlessly. The question asks us to mark a choice of which the author would be supportive. We have to keep the central idea in mind while going through the options. The author opines that grammar is essential to frame sentences and one can’t do away with grammar. Option 4 perfectly fits in. The author would indeed be supportive of such a software as the one that will standardise the rules of grammar as an aid to writers. Option 1 goes out because it is too narrow a choice, and tends to specifically focus on punctuation and capitalization instead of grammar as a whole. Choice 2 is against grammar, so it goes out, while option does not even mention the keyword grammar, which is the focus on the passage. [Option: 4] Solution 6: This is an analogy question. You bring two different things together and what you have is a new thing. The right option must have two different things, which when combined should give us a new thing. 4 precisely does that. Vegetable is the noun, the spices is the verb, and the resulting new sentence is the new dish. There is no such analogy visible in 3. We don’t understand the relevance of “same sports equipment”. The question says “take any noun”, but in 3 we are taking ‘a collection of people’. 2 is logically flawed because without a verb we can’t have a sentence. Option 1 might look close, but planting an apple tree alone in a field will not make the field an orchard. We need to have many such apple trees to make an orchard. 4 is the best. [Option: 4] Solution 7: https://online.bodheeprep.com CAT 2020 question paper (slot-1) Here for this question, we have to mark a choice that cannot be inferred from the passage. For choice 2 we have evidence in the second paragraph of the passage. 2 can be definitely inferred from the second paragraph. Choice 2 is also correct, and can be inferred from the option itself. Police ensure enforcement of law and order, whereas grammar police insist on application of strict grammar rules. Option 4 goes because it too can be inferred. After all, the author is in favour of grammar and it is grammar that helps us form complete sentences. So how can the passage imply that sentences need not be complete. It has to be the other way round. Noun and verb come together to form a complete sentence. [Option: 1] Solution 8: Here we have mark a choice that captures the main idea of the passage. Since the author highlights the importance of grammar in framing correct sentences, choice 1 becomes the right answer. This is too simple a question to demand why others are not the right choice. [Option: 1] Solution 9: Here we have to pick a choice, which, when falsified, supports the arguments of the passage. Since 1 is supporting the author, it would not the same when falsified, so 1 goes out. 2 says that one must not think that nouns and verbs are necessary for complete sentences. But when falsified it means that nouns and verbs are necessary for complete sentences, so this supports the author, and is therefore the right answer. Choice 4 is irrelevant because the passage is concerned with grammar and not with rhetoric. Whether some writers regard or disregard the rules of rhetoric has nothing to do with the passage’s chief concern, which is grammar. [Option: 2] Solution 10: This is an easy passage to read, but some of the questions have very close choices. This question asks to pick a choice that modern currency does not share with the currencies of https://online.bodheeprep.com CAT 2020 question paper (slot-1) the Tang era. You must remember that this is an EXCEPT question, and the feature not shared will become the right choice. 1 is a feature shared by both modern and Tang currencies. Last paragraph tells us about modern currencies, whereas the opening tells us about the Tang currencies. Choice 3 also is a feature shared by both, the bolt of silk lost value because of wear and tear. Now many might feel that the last paragraph does not speak anything about modern currencies losing value over time. But this is implied as common knowledge. The idea of inflation suggests that currency value my not always be the same always. The value of Rs 100 was greater 20 years ago than it is today. Thus 3 is a feature shared by both modern and Tang currencies. 4 is also a feature shared by both because in the modern times we use coins for smaller payments, currency for bigger payments, and electronic methods for still bigger payments. This was true of Tang era as well, as can be seen in the first and second paragraphs. The currencies during the Tang era were static: we had coins, fabric and grains to make payments; there is no transformation implied in these during that era, whereas in the modern times because of technology the currency system is undergoing transformation, as the last paragraph shows. The author says: it is changing in front of our eyes… [Option: 2] Solution 11: The answer to the earlier questions helps us answer this question. If in the earlier question we eliminated choices that modern currencies shared with the currencies of the Tang era, then it implies that currency usage during the Tang era was similar to currency usage of modern times. There is no evidence for choice 1. Copper coins were difficult to mint, the passage says, but that doesn’t mean that copper coins were more valuable. Choice 4 is opposite of what is stated in the passage. [Option: 3] Solution 12: To answer this question, we must look for the word “steady and stable” and examine the context in which the words have been used. These words have come in the third paragraph. The para says “dimensions of a bolt of silk held steady...” here by dimension, the author https://online.bodheeprep.com CAT 2020 question paper (slot-1) implies measurement. Thus 1 is correct, but it goes out because it is an except question. The idea of supply can also be inferred from the first sentence of the third paragraph of the passage. The values of different textiles were more stable because the textiles would not have deteriorated over time. The Passage tells us that the value of textiles depended on the quality of the textile. So stable value means stable quality. The reliability of transportation is not the question here. It is the cost of the transportation that the passage highlights (second last para). Thus 1 is the best choice. [Option: 1] Solution 13: This is a slightly tricky question, but we have to pick the choice that is not economically a sound decision. So the right choice must imply some sort of a loss. Option 1 says that payment was done with a faded bolt of the same value.... since the faded bolt will further deteriorate, using it to pay makes sense. 1 goes out. Making payment in grains would be the most economical way as grains would rot easily, so the payer will gain while the payee will not. Here we have to answer for the payer. Thus both 2 and 3 are economical. 3 is also an economical way because coins, the passage says, lost value over time, but a piece of fabric from a new bolt is not likely to lose value over time, and so would be economically not a wise decision to make payment. [Option: 4] Solution 14: This is an application question. We have to pick from the choices the one that explains how the new ruling class might have betrayed the principles of the French Revolution. We have to first understand what, as per the passage, were the principles of the French Revolution. Here we have to understand that the workers and peasants were the oppressed class, and it is they who made the revolution possible. Betrayal means to against someone. 1 cannot be the right choice because the new ruling class was against the destructive impact of the revolution on the market, but not against the workers and peasants. Both in 2 and 3 there is no sign of betrayal. Only in 4 can we see the evidence of betrayal where the new ruling class https://online.bodheeprep.com CAT 2020 question paper (slot-1) rode to power on the strength of workers’ revolutionary anger, but then turned to oppress that very class. 4 is the best choice. [Option: 4] Solution 15: The clue to the right answer can be seen in the last paragraph where the author says “there are several traditions of anarchism...one was 19th century American figures who argued that in protecting our own autonomy and associating with others, we are promoting the good of all. These thinkers differed from free-market liberals in their absolute mistrust of American capitalism, and in their emphasis of mutualism.” Thus there was a difference between free market liberals and the American anarchists. This difference was with respect to mutualism and capitalism. The anarchists favoured mutualism but mistrusted capitalism. Option 2 brings out this difference correctly. The others just go out because none of them talk about mutualism, which the American anarchists favoured, but the liberals did not. [Option: 2] Solution 16: Here we have to eliminate the choice that features in the passage as the author’s argument, and choose as our right answer the one that does not. 1 is true as per the passage and can be verified from the second paragraph of the passage. The first sentence of the last para is evidence for choice 3. From the first sentence of the fourth paragraph, we can derive choice 4. Thus we have evidence for all choices except 2. In fact, we can directly mark 2 without verifying the others because anarchists are in favour of autonomy and mutualism. So anarchists will never mistrust collectivism. The evidence for this can be found in the last paragraph. Thus 2 is not the argument presented by the author in the passage. [Option: 2] Solution 17: The passage clearly says in the first para and the fourth paragraph that state itself is the enemy. Thus 3 is the right choice, unarguably. The others are easy to eliminate. https://online.bodheeprep.com CAT 2020 question paper (slot-1) [Option: 3] Solution 18: This too is a very simple question because we have to pick the concepts that are there in the passage. Both 1 and 2 go out because they don’t have in them the most important concept: anarchism. Out of 3 and 4, we must pick 3 because the last part of the passage discussed Freedom and individual autonomy. You can refer to the last two paragraphs. Also in option 4 power and state are the same things, there is no need to keep them as two separate things. [Option: 3] Solution 19: This is a simple parajumble question. None of the sentences, except 1 have the opening idea. 1 says “indigenous significances of nineteenth century San folk tales are hard to determine”. The idea of “San Folk tales” makes this an opening idea. Rest all just mention the word “the tales” without specifying the kind of tales. Now, 1 says “significances of the tales are hard to determine” and 4 says “meaning can be elicited...by probing beneath the narrative of the verbatim...”. Thus 14 form a pair. 3 further says that “selected tales reveal that they deal with a form of spiritual conflict...and concern conflict between people”. Finally, in 2 we have “...benign shamans transcend the levels of the San cosmos in order to deal with social conflict...”. Thus 1432 is the right sequence in which information flows like this: significance of San Folk tales is hard to determine...but meaning can be elicited.... the tales reveal social conflict... shamans try to deal with the social conflict [Answer: 1432] Solution 20: This is a relatively simple question. 4 opens the paragraph by giving us the reference of time and place. It talks about white liberty in colonies, and slavery in those colonies. 4 says “the slaves could never be muted”. 5 comes as an additional information for 4, because 5 clearly says that “slave owners were obsessed over slave talk” and 1 says “talk was the most common way for enslaved men and women to subvert the rules of their bondage”...2 https://online.bodheeprep.com CAT 2020 question paper (slot-1) further adds to the story by stating that “even in conditions of extreme violence.... their words remained ubiquitous”. Thus 4512 form a logical link, with 3 as the odd one out. The sequence may not strictly be 4512, but in all cases 3 is the odd one. [Answer: 3] Solution 21: In this question, it is easy for us to spot the opening sentence. It brings the action from the past (1990s) into the present. For this reason, 3 is in the present perfect continuous form, and 1 is in the simple present form. Thus 31 form a pair. 4 has the pronoun “these concerns”. It refers to the noun “pressing security concern” in 2. Thus 24 form a pair. The right sequence has to be 3124. [Answer: 3124] Solution 22: This is a slightly difficult question. The passage talks about what modern Europe has done in order to adapt to changing international order. There are two things it has done: establish a common currency, and a formal political structure, adjusting its internal differences by peaceful mechanisms. 1 looks good, but does the passage say that “Europe has consistently done this”? Maybe. But what it misses here is the essence. Europe has changed its structure, but the focus of the passage is on “what it has done of late”. For this reason, 4 wins. By choosing a common currency it has tried to lower economic heterogeneity, and by establishing European Union it has tried to lower political heterogeneity. Thus 4 captures the essence, while 1, 2 and 3 walk on the periphery. [Option: 4] Solution 23: This question is slightly easier than the earlier one. Let’s see the critical elements of the passage. The most important critical element is “forensic phonetics in movies and television”, and “these have led to errors in real-life justice, with unrealistic expectations of the capabilities of forensic science”. 1 goes out because it misses the context of “movies and https://online.bodheeprep.com CAT 2020 question paper (slot-1) television”. 3 is a complete distortion, whereas 4 misses the “unrealistic expectations” part. 2 is the best choice in every way. [Option: 2] Solution 24: In this question, too, we have to look for the keywords. The passage talks about intelligence and its heritability, and the criticism mounted against it. Option 1 exactly captures all the keywords. 2 misses on the heritability part of the story. 3 wrongly mentions the debate about “ways in which intelligence is inherited”. The criticism is about heritability itself, not about the ways in which it is inherited. Choice 4 also missies the crucial idea of heritability. Thus 1 is the best choice. [Option: 1] Solution 25: This could be a challenging question, but we have to look for clues that connect the sentences. This will help us create a new sequence and find the odd one out. 5 says “more specifically, the feminist enquiry...”. thus there must a reference to “more specifically” because this phrase is used to bring in clarity to something. We must try to find a reference to this. The reference can be found in 1, which says “for feminists, the question of...” (the question of =enquiry). Thus 15 form a pair. 5 has “...the feminist enquiry begins with the realization...and 4 further adds to it by saying “the documentation of this realization...was one of the earliest tasks undertaken by feminist critics...” 2 concludes by stating that “Elaine’s critique of the literary curriculum is exemplary of this work”. 2 serves as an example of 4. 3 is the odd one out. [Answer: 3] Solution 26: This is the easiest parajumble you will ever get in cat exam. The passage moves from the broader idea of “historical use of poisons” to a narrower idea of “biological weapons”. 1 opens the paragraph. It then moves to biological weapons in 3. In 2 treaties are signed https://online.bodheeprep.com CAT 2020 question paper (slot-1) against the use poisoned weapons. In 4 there is additional info about the treaties, that they contained no means of control. Thus 1324 is the right sequence. [Answer: 1324] A  Exactly one 5stars B  Exactly one 5stars C  Exactly two 5stars Solution 27: Damodaran not get a bonus.two possibilities either No 5 stars or atleast one 1st star To get 18 maximum final rating  5  5  3  4  1   3.6 5 Option: 3 Solution 28: 15 Eman got bonus (Atleast one -5 star) Minimum final rating  5  2  2  3  3  3 5 Option: 1 Solution 29: 16 A 54 223  3  2  250  800  1000  1800 5 15 B 5  3 2 2  3   3  200  600  1200  1800 5 https://online.bodheeprep.com CAT 2020 question paper (slot-1) 17 C 552 23  3  4 100  340  1740(340  1400) 5 15 D 53 2  2 3   3 150  450  1300  1750 5 15 E 5 2  2  3 3   3  200  600  1100  1700 5 Minimum payment =1700 Option: 3 Solution 30: If all five drivers got bonus maximum possible would be 19 A  5 4  4 33   3.8  250  950  1000  1950 5 19 B  5  4  4 33   3.8  200  760  1200  1960 5 20 C  55 44 2   4 100  400  1400  1800 5 21 D  5 5  3 4  4   4.2  150  630  1300  1930 5 20 E  55 44 2   4  200  800  1100  1900 5 Maximum monthly payment = 1960 Option: 1 Each of the ten musicians A, B, C, D, E, F, G, H, I & J is an expert in at least one of the percussion instruments. 3 are expert in only Tabla (T) 3 are expert in only Mridangam (M) https://online.bodheeprep.com CAT 2020 question paper (slot-1) 1 is expert in only Ghatam (G) 2 are expert in T & M but not G 1 is expert in T & G but Not on M Total no of Musicians expert in T = 6 Total no of Musicians expert in M = 5 Total no of Musicians expert in G = 2 Since none of the musician who are expert in mridangam also expert in Ghatam. Hence A & B are not expert in Ghatam. None of the musicians are expert in all 3 instruments, D is not expert in Mridangam. I has expertise in Ghatam because he is expert neither in Tabla n or Mridangam (From 4 and 5). Again since H is expert neither in Mridangam n or Ghatam, H is an expert in Tabla. https://online.bodheeprep.com CAT 2020 question paper (slot-1) Total number of musicians who are expert in tabla is six. Besides D, F, G & H, either A or B (from 1) and either C or E are experts in tabla. Total number of musicians who are expert in ghatam is two. Since D & I are experts in Ghatam, others are not experts in Ghatam. Now, J is expert neither in Tabla nor in Ghatam. Hence J is an expert in Mridangam. Total number of musicians who have expertise in Mridangam is five. Those a re A, B, J and F or G, Hence out of C & E one has expertise in Mridangam. Out of A & B one of the musicians is an expert of only Mridangam the other has the expertise in both table & Mridangam. Out of F & G one of the musicians is an expert of only table &the other has the expertise in both table & Mridangam. Out of C & E one of the musicians is an expert of Tabla only and the other is an expert of Mridangam only Alternate solutions: The given information can be represented in the following Venn diagram https://online.bodheeprep.com CAT 2020 question paper (slot-1) From (1), one of A and B will be in region c and the other one in region f. From (2), D is in region d. From (3), one of F and G will be in region a and the other one in f. From (4), either both I and J will be in region c or one in region b and the other in region c. From (5), one of H and I will be in region b and the other in region a. By combining (4) and (5), I will be in region b, H in region a and J in region c. Thus, we get the following. Region a = 3 (F/G, H, C/E), Region b = 1 (I), Region c = 3 (A/B, J, C/E) Region d = 1 (D), Region f = 2 (B/A, G/F) Solution 31: H definitely is an expert only in Tabla Option: 2 Solution 32: J definitely is an expert only in Mridangam Option: 3 Solution 33: https://online.bodheeprep.com CAT 2020 question paper (slot-1) One of A and B, one of G and F are experts in both tabla and mridangam but not ghatam. Three of the choices has at least one of the above four musicians. But one (C and E) does not have any one of these four. Hence, that is the answer Option: 3 Solution 34: Given, C is an expert in mridangam but not F. It means F and E are experts only in tabla. Thus, E, F and H will be the experts in tabla but not in mridangam or ghatam. Option: 4 Institutes A, B, C, D Vendors W, X, Y, Z Contracts Awarded are multiyear Contracts (consecutive years) or single Year Contract. No institute had more than one contract with the single vendor. Each Institute Two contracts two vendors Each Vendor two contracts two institutes V. Exactly 4 multi year contract (A-3years, B-7 years, C-3 years, D-4 years). Exactly 4 single year contracts. In total 8 contracts. I. Vendor Z had at least one contract in ever year. This is only possible if he had both the contracts which are multi years contract. As 7 + 1 = 8 not possible. Only possibility is (7years + 3 years) or (3 years + 7 years) = 10 years. II. Vendor X Six years 2010, 2011, 2012, 2013, 2014, 2015. To have contract for theses six years, only possibility is left with multi years contracts (4 years + 3 years or 3 years + 4 years) with 1 year overlapping contract. PI. Note (3years + 3 years) is not possible for vendor X as one 3 years is already awarded to vendor Z{(7years + 3 years ) or (3 years + 7 years) = 10 years}. So all the 4 multiyear contracts are awarded to Z (3 years, 7 years) & X (3 years, 4 years). So we are left with 4 single year contracts. https://online.bodheeprep.com CAT 2020 question paper (slot-1) III. Vendor Y had contracts in 2010 & 2019. Both of these contracts are single year contracts. Vendor W had contracts (two contracts) only in year 2012. So both of these are single year contracts. IV. There are 5 contracts in 2012. VI. Institute C had one or more contracts in 2012, but no contract in 2011. VII. Institute B & D each had exactly one contract in 2012. Institute D did not have any contract in 2010. Out of 5 contracts in 2012 {B, D, W, W and C at least one contract). Hence C has exactly one contract in 2012. For Vendor X, 4 year contract is with D. It Can vary from (2011-2014) or (2012-2015). No contract can be awarded to him after 2015 (point II). Only possibility for 3 year contract is with A only, as C do not have any contract in 2011. Therefore Vendor X has a 3 year contract with institute A from 2010-2012 & a 4 year contract with institute D from 2012 to 2015 (so as to have one or more contract from 2012 to 2015). Vendor Z can be allotted contracts with only Institute B & C Only. As vendor Z has at least one contract in every year ( point I) , thus the only possibility left is first 7 year contract with institute B and then 3 year contract with institute C ( as institute C do not have any contract in 2011). https://online.bodheeprep.com CAT 2020 question paper (slot-1) In 2012 there are 5 contracts. Three contracts are already assigned. Remaining two are single year contracts of W in 2012. Also Institute C has at least one contract in 2012. {No institute had more than one contract with the same vendor (initial condition)}. Hence both vendor W 1 years contract cannot be with Institute C. Hence Exactly one contract of vendor W is with institute C. Further, Point VII, Institutes B and D each had exactly one contract in 2012 which is already assigned. Hence second 1 year contract of vendor W is with institute A in 2012 (only possibility). Institute A has allotted two contracts to 2 vendors {X & W}. Institute C had allotted contracts to two vendors {W & Z}. Hence Vendor Y can have a 1 year contract with only Institute B in 2010, (only possibility left). Hence vendor Y had 1 year contract in 2019 with Institute D (only possibility left). https://online.bodheeprep.com CAT 2020 question paper (slot-1) Solution 35: In 2015 there were two contracts with vendor Z and X Option: 3 Solution 36: D had a contract with Y in 2019 Option: 1 Solution 37: In three years {in 2016 (Z), 2017 (Z), 2018 (Z)} there were only one contract Option: 3 Solution 38: In 2010 {(A-X), (B-Z), (B-Y)} exactly three contracts. Option: 3 Solution 39: A (X & W) in 2012, B (Z & Y) in 2010 Option: 4 Solution 40: https://online.bodheeprep.com CAT 2020 question paper (slot-1) Institutes { A 2012, B 2010}, Vendors { W 2012 X 2012} Option: 4 From the fourth paragraph, it is very clear that if the student miss exactly two exams, them his / her marks in those two subjects would be the average of best two scores and would also be “EQUAL” By properly analysing the table, we can conclude that Esha is the only student who do not score equal marks in any two subjects. Hence, Esha is one of the student who missed exactly one subject. Marks obtained by the student in the missed examination is the average of Best three scores, and the average/mean cannot be lowest or highest value. Considering this concept of averages, Isha can miss examination of English, Hindi or Science. 95  85  60 If Esha missed English Exam, then her marks in that exam would be or 80. 3 Eventually she scored 80 only in English. Hence Esha could miss examination of English 95  85  60 If Esha missed Hindi Exam, then her marks would be or 60. This contradicts 3 with value given the table if Esha missed science Exam, then her marks in science exam 80  85  95 would be or 86.6. Again contradiction 3 In conclusion, Esha missed the exam of exactly subject that is English From the second fact, we can infer that one of student missed exam of only Mathematics. 80  75  75 If Alva missed Maths exam, then her scored would be  76.66. This value 3 contradicts with value given the table Hence Alva did not miss the Math Exam If Bithi missed the Maths Exam, then her score would not be the lowest score (55) https://online.bodheeprep.com CAT 2020 question paper (slot-1) 80  100  90 If Carl missed the Maths exam, then his score would be o r 270 Carl could be 3 the student who missed the maths exam. If Deep missed the Maths exam then he can’t score the highest marks of 100 83  88  83 If Foni missed the Maths exam then her score in that exam would be Or 84.6. 3 This contradicts with value given in the table. In conclusion, Carl is the student who missed the exam of only mathematics. From the third fact, we can conclude that one student missed only Hindi exam. Another student missed two exams one Hindi and one more. Two students among Alva, Bithi, Deep and Foni would be in this category. 80  70  75 If Alva missed only Hindi exam, then her score would be or 75 marks score. If 3 Alva missed two exams, then her score in both the exam would be equal. Alva can miss Hindi and science, and her score in both these exam in the average of 80  70  75 marks scored 2 In conclusion, Alva can miss only Hindi exam or Hindi and science both If Bithi missed Hindi exam, then the score would be 90  85  85 or 86.6.The contradicts with value in the table 100  90  80 If Deep missed Hindi exam, then his score would be or 90. Makes score 3 100  80 If Deep missed Hindi and science, then his score would be or 90. Again marks score 2 In conclusion Deep missed the exam of only Hindi or Hindi and science If Foni missed Hindi, 83  88  83 then her score would be  87.66. This contradicts with value of given that table 3 https://online.bodheeprep.com CAT 2020 question paper (slot-1) After analysing the third fact, we can conclude that one among Alwa and deep missed only Hindi and the other missed Hindi and science. So far we have analysed missed exams as Alwa, Carl. Deep and Foni. Only Bithi and Foni left From the first fact, we can conclude that Exactly two students missed English exam. Exactly two students missed Hindi exam. Exactly two students missed Science and Exactly two students missed Social, Science Social Science was missed by two students and those 2 students must be Bithi and Foni We need to make sure apart from Esha, one more student missed English exam. Between Bithi and Foni, the scores are equal in Social score and English. In conclusion, Foni missed the exams of English and Social. We also need to make sure apart from Alva or Deep, one more student missed Science exam and the only possibility is Bithi. Alwa Only Hindi or Hindi + Science Bithi Science and Social Science Carl Only mathematics Deep Only Hindi or Hindi and Science Foni English and social science Solution 41: Option: 4 Solution 42: Option: 3 https://online.bodheeprep.com CAT 2020 question paper (slot-1) Solution 43: Option: 1 Solution 44: Option: 4 Solution 45: Answer: 3 Solution 46: Answer: 4 1000 patients are equally distributed into two groups treatment group and control group. We have some information regarding the effectiveness of medicines A, B, C and D on the treatment group. Let us start filling the data give in the restrictions in a four sets Venn diagram. 75 patients were treated exactly one type of medicine.  25  x  20  10  75  x  20 https://online.bodheeprep.com CAT 2020 question paper (slot-1) We have only one unknown in type-A medicine. 220  b  250  b  30 100 patients were treated with exactly three types of medicines. 40  20  30  a  100  a  10 Now, we have only one unknown in each of the type C and type-D.  p  210  190  20  500  350  150 Solution 47: Answer: 340 Solution 48: Answer: 10 Solution 49: Answer: 150 Solution 50: Answer: 325 Solution 51: The product of the digits of the three-digit numbers should be more than 2 and less than 7. Hence the possible numbers are as follows. Hence there are a total of 21 possibilities. [Answer: 21] https://online.bodheeprep.com CAT 2020 question paper (slot-1) Solution 52: Let after n years both the sums amount to the equal amounts.  5  (n  2)   10  n  Then, 1000 1    800 1    100   100  15n i.e., 1.5   n  10 100 Hence 12 years after veeru invested their balances will be equal [Answer: 12] Solution 53:  7 6  Required weight of C    130  84 kg  3  5  4  2  7  6  [Option: 4] Solution 54: Let the length and the breadth of the rectangle be l and b respectively. As the circle touches the two opposite sides, its diameter will be same as the breadth of the 2 rectangle. Given, lb  135 and lb   (b / 2)2    (b / 2)2 3 5  b2  18      135  b  3  4  15  From this l  2  Required perimeter: 15  18  5 6  2(l  b)  2   3      2   2   [Option: 2] https://online.bodheeprep.com CAT 2020 question paper (slot-1) Solution 55:  log 4 5   log 4 y  log 6 5  log 4 5   log 4 y log 6 5  log4 5  log6 5  log 4 y  2  log4 5  log5 6    log4 y   2log4 6  log4 y  log 4 62  log 4 y  log4 36  log4 y  y  36 [Answer: 36] Solution 56: l l Let the length of the train be l and its speed be s. Given  90;  100 5 5 ( s  2)  (s  4)  18 18 5 5  90( s  2)   100( s  4)   s  22 18 18  Length of the train =500 m. 500 Hence the required time to cross a lamp post  5 22  18 i.e., 81.81 (or) 82 sec. [Option: 2] Solution 57: https://online.bodheeprep.com CAT 2020 question paper (slot-1) 2x  2 x  2  ( x  2)2 The minimum value of 2 x  2 x is 2 when x  0 But x  0; 2  ( x  2) 2   2 The maximum value of 2  ( x  2)2 is 2 when x  2 17 But x  2 2 x  2  x  4 Hence there is no value of x,2x  2 x  2  ( x  2)2 The number of solutions is 0 [Option: 3] Solution 58: 2 2y log3 5  5log2 3 y2 2  log3 5  5log 2 3 y2 5  log3 2  5log2 3 2 5y log3 2  5log2 3  y 2 log3 2  log 2 3 y 2   log2 3 log 2 3 is negative ) 1 y  log 2 31  log 2 3 [Option: 1] Solution 59: https://online.bodheeprep.com CAT 2020 question paper (slot-1)   x2 13 x  42 x 2  7 x  11 1 We know if a b  1  a  1 and b is any number or a   1 and b is even a  0 and b is 0 case 1: x2  13x  42  0  x  6,7 case 2 : x 2  7 x  11  1  x 2  7 x  10  0  x=2 or 5 case 3 : x 2  7 x  11   1  x 2  7 x  12  0  x=4 or 3 Hence number of solutions are 6 [Option: 1] Solution 60: Using Alligation Rule, the ratio of cost prices of desktop and laptop will be i.e., 2: 3 2  The cost of desktop   50000 i.e., ? 20,000 5 [Answer: 20000] https://online.bodheeprep.com CAT 2020 question paper (slot-1) Solution 61: The graph of | x |  y  1; y  0 and y  1 is as follows: Area of ABCD  Area of EFCD - Area of EAD - Area of BFC 1 1  EF  FC   EA  ED   BF  FC 2 2 1 1  4  1   1 1   1 1 2 2  4  1  3 Square units. [Answer: 3] Solution 62: In this particular case, we know Ratio of speeds  Inverse ratio of times taken C1 : C2  20 : 45 i.e., 2: 3 As the speed of Car C1 is 60 kmph, the speed of Car C2 is 90 kmph [Option: 1] Solution 63: Given x0   x1 , x2 ,   x12  If x1  x2  x3  x4  9; x5  x6  12  8 https://online.bodheeprep.com CAT 2020 question paper (slot-1)  x0  max(9,9,9,9,8,8.8) The minimum value if x0 is 9. [Option: 1] Solution 64: The sum of possible even digit numbers in the form aabb is 1100  1122  1144  1166  1188  2200  2222  2288  .9900  9922  9988 i.e. (45 numbers)  1100+1100+1100+1100+1100+22+44+66+88+2200+2200+2200+2200+2200 +22+44+66+88+…+9900+9900+9900+990+9900+22+44+66+88  5(1100  2200  .9900)  9(22  44  66  88)5  1100(1  2    9)  9  22(1  2  3  4)  5500(45)  45  44  45(5544) Hence mean =5544 [Option: 3] Solution 65: Let the speed in the first two cases be s and the distance be "d'. Given, d d 35    d  10km 8 15 60 10 Required speed  =12 kmph 50 60 [Option: 3] Solution 66: Let the usual speed of the train be s and time taken at that speed be 't'. Given by travelling at s/3, it reached 30 min late. Hence the usual time: https://online.bodheeprep.com CAT 2020 question paper (slot-1) Distance travelled  s  t Distance travelled in the first 5min  s  t / 3. D Distance to be travelled in the last 6 min  2 st / 3 2 st / 3 5s Required speed to cover that distance on time  i.e., 2t / 5 3 2 Hence the percentage increase in its speed  (2 / 3)  100 i.e., 66 % or 67% 3 [Option: 2] Solution 67: x  (4096)7 4 3 1 74 3 x  (4096) 1 On rationalizing 7  4 3 , we get  74 3 74 3  x74 3  (64) 2 7 4 3  64  x 2 7 x2 64  x2 3 [Option: 4] Solution 68: Given f (5  x )  f (5  x ) Put x  x  5 f ( x )  f (10  x ) https://online.bodheeprep.com CAT 2020 question paper (slot-1)  Let a, b be two roots of f(x)=0, then 10  a ,10  b are also roots of f ( x )  0  Hence sum of the roots  a  b  10  a  10  b  20 [Option: 4] Solution 69: Given ab  432, bc  96 and c  9 To find the minimum value for a  b  c , the two larger numbers should be as close as possible. The closest combination whose product is 432 is 18  24. For b  24, we get c  4 and a  18. Hence the least value for a  b  c  46. [Option: 4] Solution 70: Let the number of persons in the group be 100. Then the people who are young =28 Ans the number of literate persons=65 Number of literates who are young  25% of 65  16.25 48.75  Required answer   100  66 72 [Option: 3] Solution 71: https://online.bodheeprep.com CAT 2

CAT 2020 Question Paper (Slot 1) PDF

Document Details

Tags

Related

Summary

Full Transcript

Upgrade to continue