Previous Year Questions

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CAT 2021 Question Paper Slot 1 | All Questions

Previous Year Questions

    01.

    The passage below is accompanied by a set of questions. Choose the best answer to each question.

    The sleights of hand that conflate consumption with virtue are a central theme in A Thirst for Empire, a sweeping and richly detailed history of tea by the historian Erika Rappaport. How did tea evolve from an obscure "China drink" to a universal beverage imbued with civilising properties? The answer, in brief, revolves around this conflation, not only by profit-motivated marketers but by a wide variety of interest groups. While abundant historical records have allowed the study of how tea itself moved from east to west, Rappaport is focused on the movement of the idea of tea to suit particular purposes.

    Beginning in the 1700s, the temperance movement advocated for tea as a pleasure that cheered but did not inebriate, and industrialists soon borrowed this moral argument in advancing their case for free trade in tea (and hence more open markets for their textiles). Factory owners joined in, compelled by the cause of a sober workforce, while Christian missionaries discovered that tea "would soothe any colonial encounter". During the Second World War, tea service was presented as a social and patriotic activity that uplifted soldiers and calmed refugees.

    But it was tea's consumer-directed marketing by importers and retailers “ and later by brands “ that most closely portends current trade debates. An early version of the "farm to table" movement was sparked by anti-Chinese sentiment and concerns over trade deficits, as well as by the reality and threat of adulterated tea containing dirt and hedge clippings. Lipton was soon advertising "from the Garden to Tea Cup" supply chains originating in British India and supervised by "educated Englishmen". While tea marketing always presented direct consumer benefits (health, energy, relaxation), tea drinkers were also assured that they were participating in a larger noble project that advanced the causes of family, nation and civilization. . . .

    Rappaport's treatment of her subject is refreshingly apolitical. Indeed, it is a virtue that readers will be unable to guess her political orientation: both the miracle of markets and capitalism's dark underbelly are evident in tea's complex story, as are the complicated effects of British colonialism. . . . Commodity histories are now themselves commodities: recent works investigate cotton, salt, cod, sugar, chocolate, paper and milk. And morality marketing is now a commodity as well, applied to food, "fair trade" apparel and eco-tourism. Yet tea is, Rappaport makes clear, a world apart “ an astonishing success story in which tea marketers not only succeeded in conveying a sense of moral elevation to the consumer but also arguably did advance the cause of civilisation and community.

    I have been offered tea at a British garden party, a Bedouin campfire, a Turkish carpet shop and a Japanese chashitsu, to name a few settings. In each case the offering was more an idea “ friendship, community, respect “ than a drink, and in each case the idea then created a reality. It is not a stretch to say that tea marketers have advanced the particularly noble cause of human dialogue and friendship.

     

     

    01.

    The author of this book review is LEAST likely to support the view that:

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Except option D, all other options are mentioned in the passage.
    'I have been offered tea at a British garden party, a Bedouin campfire, a Turkish carpet shop and a Japanese chashitsu, to name a few settings. In each case the offering was more an idea “ friendship, community, respect “ than a drink, and in each case the idea then created a reality.' From these lines, we know options B and C are true.
    Option A is also true: 'During the Second World War, tea service was presented as a social and patriotic activity that uplifted soldiers and calmed refugees'.
    The author, however, does not say that tea became the leading drink in Britain in the nineteenth century. So, the author is least likely to support option D.

    02.

    This book review argues that, according to Rappaport, tea is unlike other "morality" products because it:

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The author talks about morality marketing and states that 'tea is......a world apart “ an astonishingsuccess story in which tea marketers not only succeeded in conveying a sense of moral elevation to the consumer but also arguably did advance the cause of civilisation and community'. So, the correct choice is option B.

    03.

    According to this book review, A Thirst for Empire says that, in addition to "profit-motivated marketers", tea drinking was promoted in Britain by all of the following EXCEPT:

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The second paragraph talks about 'the temperance movement' (anti-alcohol lobby) advocating tea as it 'cheered but did not inebriate', industrialists supporting free trade in tea in order to gain 'open markets' (duty-free markets) for textiles and factory owners joining the group advocating tea, as it meant 'a sober workforce'. So, options A, C and D are correct. The passage does not talk about tea drinkers lobbying for product diversity. So, the correct choice is B.

    04.

    Today, "conflat[ing] consumption with virtue" can be seen in the marketing of:

    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    Conflating™ means mixing or confusing two different things. ˜Conflating consumption with virtue™ implies promoting consumption of something as virtuous. The consumption of sustainably farmed foods is marketed as the right thing to do, so option A is the correct answer.

    02.

    The passage below is accompanied by a set of questions. Choose the best answer to each question.

    For the Maya of the Classic period, who lived in Southern Mexico and Central America between 250 and 900 CE, the category of 'persons' was not coincident with human beings, as it is for us. That is, human beings were persons “ but other, nonhuman entities could be persons, too. . . . In order to explore the slippage of categories between 'humans' and 'persons', I examined a very specific category of ancient Maya images, found painted in scenes on ceramic vessels. I sought out instances in which faces (some combination of eyes, nose, and mouth) are shown on inanimate objects. . . . Consider my iPhone, which needs to be fed with electricity every night, swaddled in a protective bumper, and enjoys communicating with other fellow-phone-beings. Does it have personhood (if at all) because it is connected to me, drawing this resource from me as an owner or source? For the Maya (who did have plenty of other communicating objects, if not smartphones), the answer was no. Nonhuman persons were not tethered to specific humans, and they did not derive their personhood from a connection with a human. . . . It's a profoundly democratising way of understanding the world. Humans are not more important persons “ we are just one of many kinds of persons who inhabit this world. . . .

    The Maya saw personhood as 'activated' by experiencing certain bodily needs and through participation in certain social activities. For example, among the faced objects that I examined, persons are marked by personal requirements (such as hunger, tiredness, physical closeness), and by community obligations (communication, interaction, ritual observance). In the images I examined, we see, for instance, faced objects being cradled in humans' arms; we also see them speaking to humans. These core elements of personhood are both turned inward, what the body or self of a person requires, and outward, what a community expects of the persons who are a part of it, underlining the reciprocal nature of community membership. . . .

    Personhood was a nonbinary proposition for the Maya. Entities were able to be persons while also being something else. The faced objects I looked at indicate that they continue to be functional, doing what objects do (a stone implement continues to chop, an incense burner continues to do its smoky work). Furthermore, the Maya visually depicted many objects in ways that indicated the material category to which they belonged “ drawings of the stone implement show that a person-tool is still made of stone. One additional complexity: the incense burner (which would have been made of clay, and decorated with spiky appliques representing the sacred ceiba tree found in this region) is categorised as a person “ but also as a tree. With these Maya examples, we are challenged to discard the person/nonperson binary that constitutes our basic ontological outlook. . . . The porousness of boundaries that we have seen in the Maya world points towards the possibility of living with a certain uncategorisability of the world.

     

     

    01.

    Which one of the following, if true about the Classic Maya, would invalidate the purpose of the iPhone example in the passage?

     
    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    The author cites the example of an iPhone to illustrate the idea that nonhuman persons did not derive their personhood simply because of their human connection or their usefulness to humans. The Maya would not have regarded the iphone as a nonhuman person; personhood would be 'activated' only when the nonhuman person experiences certain bodily needs or participates in certain social activities.
    If option A were true “ if the incense burner and stone chopper were regarded as persons just because of their usefulness to humans “ then the purpose of the iPhone example would be invalidated.
    All other options given do not relate to the reason why Maya categorised objects as persons. So, these are ruled out.

    02.

    Which one of the following, if true, would not undermine the democratising potential of the Classic Maya worldview?

     
    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Trickily worded question. The answer option is one that does not undermine the democratising potential of the Maya worldview. That is, it should be in line with the Maya worldview.
    Let us look at the options one after the other.
    If option A were true, cats and dogs would be considered superior to other nonpersons. This would mean an unequal world. So, option A would undermine the 'democratising' potential of the Maya worldview.
    If option B were true and the stone implement and incense burner were only regarded as humans, not objects, that would again suggest humans are in some way superior to nonpersons. The Maya thought entities could be persons while also being something else. So, option B, too, would undermine the 'democratising' potential of the Maya worldview.
    Similarly, if option C were true, then it would suggest that some objects 'deserved' to be persons, while others did not. This too would undermine the 'democratising' potential of the Maya worldview.
    Only option D, if true, is in line with the essence of the Maya worldview. Human healers being given the physical attributes of local medicinal plants suggests that these plants are equal in status to humans.

    03.

    On the basis of the passage, which one of the following worldviews can be inferred to be closest to that of the Classic Maya?

     
    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    For the Mayans, personhood 'activated' by experiencing certain bodily needs and through participation in certain social activities.
    Personhood was not based on the usefulness of nonpersons to humans or their similarity to humans. So, options A and B are easily ruled out.
    While both options C and D talk about the 'bodily needs' of nonpersons, only C relates to the idea of social participation. Plants form an ecosystem, participating in a community. Option D, on the other hand, talks about the functionality of utensils being a reason why they are regarded as persons. This is not in line with the Classic Maya worldview. So, the correct answer is option C.

    04.

    Which one of the following best explains the "additional complexity" that the example of the incense burner illustrates regarding personhood for the Classic Maya?

     
    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    In the example of the incense burner, the 'additional complexity' is that, in addition to being categorised as a person, it was also categorised as a tree as it was decorated with spiky appliques representing the sacred ceiba tree. The third categorisation as a tree is on par and similar to the other two categorisations; the same object is a tree and a person-tool. So, option D is the correct answer.

    03.

    The passage below is accompanied by a set of questions. Choose the best answer to each question.

    We cannot travel outside our neighbourhood without passports. We must wear the same plain clothes. We must exchange our houses every ten years. We cannot avoid labour. We all go to bed at the same time . . . We have religious freedom, but we cannot deny that the soul dies with the body, since 'but for the fear of punishment, they would have nothing but contempt for the laws and customs of society'. . . . In More's time, for much of the population, given the plenty and security on offer, such restraints would not have seemed overly unreasonable. For modern readers, however, Utopia appears to rely upon relentless transparency, the repression of variety, and the curtailment of privacy. Utopia provides security: but at what price? In both its external and internal relations, indeed, it seems perilously dystopian.

    Such a conclusion might be fortified by examining selectively the tradition which follows More on these points. This often portrays societies where . . . 'it would be almost impossible for man to be depraved, or wicked'. . . . This is achieved both through institutions and mores, which underpin the common life. . . . The passions are regulated and inequalities of wealth and distinction are minimized. Needs, vanity, and emulation are restrained, often by prizing equality and holding riches in contempt. The desire for public power is curbed. Marriage and sexual intercourse are often controlled: in Tommaso Campanella's The City of the Sun (1623), the first great literary utopia after More's, relations are forbidden to men before the age of twenty-one and women before nineteen. Communal child-rearing is normal; for Campanella this commences at age two. Greater simplicity of life, 'living according to nature', is often a result: the desire for simplicity and purity are closely related. People become more alike in appearance, opinion, and outlook than they often have been. Unity, order, and homogeneity thus prevail at the cost of individuality and diversity. This model, as J. C. Davis demonstrates, dominated early modern utopianism. . . . And utopian homogeneity remains a familiar theme well into the twentieth century.

    Given these considerations, it is not unreasonable to take as our starting point here the hypothesis that utopia and dystopia evidently share more in common than is often supposed. Indeed, they might be twins, the progeny of the same parents. Insofar as this proves to be the case, my linkage of both here will be uncomfortably close for some readers. Yet we should not mistake this argument for the assertion that all utopias are, or tend to produce, dystopias. Those who defend this proposition will find that their association here is not nearly close enough. For we have only to acknowledge the existence of thousands of successful intentional communities in which a cooperative ethos predominates and where harmony without coercion is the rule to set aside such an assertion. Here the individual's submersion in the group is consensual (though this concept is not unproblematic). It results not in enslavement but voluntary submission to group norms. Harmony is achieved without . . . harming others.

    01.

    Following from the passage, which one of the following may be seen as a characteristic of a utopian society?

     
    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    Note these lines that describe Utopia in the first paragraph: 'Utopia appears to rely upon relentless transparency, the repression of variety, and the curtailment of privacy. Utopia provides security: but at what price?' So, institutional surveillance in the name of security can be seen as a characteristic of a Utopian society. Options A and D are also ruled out from these lines. In the second paragraph, the passage mentions that Utopia curbs the desire for public power and promotes equality. So, option C is also incorrect.

    02.

    Which sequence of words below best captures the narrative of the passage?

     
    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    A tricky question. All options contain words that are key ideas in the passage. So, to choose the correct option, we need to look at an important idea that is missed in some options. Options B and C can be ruled out this way, as they do not mention 'intentional communities' which is a key idea in the last paragraph. Between options A and B, option A does not mention the idea of 'homogeneity', which the passage talks about in detail in the second paragraph. Option D includes both these ideas and hence it best captures the narrative of the passage.

    03.

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

     
    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    A tricky question. The author starts the last paragraph saying that as utopia and dystopia share a lot in common, it may not be unreasonable to start with the hypothesis that they are 'twins'. But the author goes on to say that while the two are 'uncomfortably close', 'we should not mistake this argument for the assertion that all utopias are, or tend to produce, dystopias. Those who defend this proposition will find that their association here is not nearly close enough'. In other words, utopias are not dystopias and the two cannot be regarded as exactly alike, or twins. Option B cannot be inferred from the passage.
    Option A can be inferred, from the lines 'Utopia provides security: but at what price? In both its external and internal relations, indeed, it seems perilously dystopian'.
    In the second paragraph, the passage talks about the literary utopia of More and Campanella with imaginary customs and rules being practised in these imaginary societies. So, option C can be inferred.
    Again, from the last lines of the second paragraph 'utopian homogeneity remains a familiar theme well into the twentieth century', option D can also be inferred.

    04.

    All of the following arguments are made in the passage EXCEPT that:

     
    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    Another tricky question. The passage states that 'in More's time, for much of the population, given the plenty and security on offer, such restraints would not have seemed overly unreasonable'. Option A alters a few words and changes the meaning of what is stated in the passage. The passage does not say people 'need' restraints.
    Option B is true, based on the second paragraph which states that the tradition which follows More 'often portrays societies where . . . 'it would be almost impossible for man to be depraved, or wicked'.
    Option C is true based on the last few lines of the passage: 'For we have only to acknowledge the existence of thousands of successful intentional communities in which a cooperative ethos predominates and where harmony without coercion is the rule to set aside such an assertion'.
    From the last few lines of the second paragraph, we know option D is true : 'Unity, order, and homogeneity thus prevail at the cost of individuality and diversity. This model, as J. C. Davis demonstrates, dominated early modern utopianism'.

    04.

    The passage below is accompanied by a set of questions. Choose the best answer to each question.

    Cuttlefish are full of personality, as behavioral ecologist Alexandra Schnell found out while researching the cephalopod's potential to display self-control. . . . "Self-control is thought to be the cornerstone of intelligence, as it is an important prerequisite for complex decision-making and planning for the future," says Schnell . . .

    [Schnell's] study used a modified version of the "marshmallow test" . . . During the original marshmallow test, psychologist Walter Mischel presented children between age four and six with one marshmallow. He told them that if they waited 15 minutes and didn't eat it, he would give them a second marshmallow. A long-term follow-up study showed that the children who waited for the second marshmallow had more success later in life. . . . The cuttlefish version of the experiment looked a lot different. The researchers worked with six cuttlefish under nine months old and presented them with seafood instead of sweets. (Preliminary experiments showed that cuttlefishes' favorite food is live grass shrimp, while raw prawns are so-so and Asian shore crab is nearly unacceptable.) Since the researchers couldn't explain to the cuttlefish that they would need to wait for their shrimp, they trained them to recognize certain shapes that indicated when a food item would become available. The symbols were pasted on transparent drawers so that the cuttlefish could see the food that was stored inside. One drawer, labeled with a circle to mean "immediate," held raw king prawn. Another drawer, labeled with a triangle to mean "delayed," held live grass shrimp. During a control experiment, square labels meant "never."

    "If their self-control is flexible and I hadn't just trained them to wait in any context, you would expect the cuttlefish to take the immediate reward [in the control], even if it's their second preference," says Schnell . . . and that's what they did. That showed the researchers that cuttlefish wouldn't reject the prawns if it was the only food available. In the experimental trials, the cuttlefish didn't jump on the prawns if the live grass shrimp were labeled with a triangle”many waited for the shrimp drawer to open up. Each time the cuttlefish showed it could wait, the researchers tacked another ten seconds on to the next round of waiting before releasing the shrimp. The longest that a cuttlefish waited was 130 seconds.

    Schnell [says] that the cuttlefish usually sat at the bottom of the tank and looked at the two food items while they waited, but sometimes, they would turn away from the king prawn "as if to distract themselves from the temptation of the immediate reward." In past studies, humans, chimpanzees, parrots and dogs also tried to distract themselves while waiting for a reward.

    Not every species can use self-control, but most of the animals that can share another trait in common: long, social lives. Cuttlefish, on the other hand, are solitary creatures that don't form relationships even with mates or young. . . . "We don't know if living in a social group is important for complex cognition unless we also show those abilities are lacking in less social species," says . . . comparative psychologist Jennifer Vonk.

    01.

    All of the following constitute a point of difference between the "original" and "modified" versions of the marshmallow test EXCEPT that:

    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    The passage does not state that the modified version of the marshmallow test aimed to correlate self-control with survival advantages.
    The differences mentioned in options B, C and D are discussed in the passage. While in the original test, children had to wait for 15 minutes to get the second marshmallow, the longest a cuttlefish waited was 130 seconds. Options C and D are clearly true.

    02.

    Which one of the following, if true, would best complement the passage's findings?

     
    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The key finding of the experiment is that cuttlefish exhibit self-control. According to the passage, species that exhibit self-control are usually social. Cuttlefish are not. But if it were true that cuttlefish exhibit sociability, you could conclude that like most other social creatures, cuttlefish, too, exhibit self-control. So if option B were true, the findings of the passage would be in line with what is generally observed. So, that way, it would complement the findings.
    All other options don't relate positively with the passage's findings. The passage states cuttlefish waited up to 130 sec for the shrimp to be released, so option 1 doesn't add to the findings in any way. If the cuttlefish cannot recognise shapes, then the basic premise of the experiment“ that they see the shape pasted on the drawer and decide whether to wait“ is negated. If cuttlefish are equally fond of shrimp and prawn, there is no reason for them to wait. So, all other options are ruled out.

    03.

    In which one of the following scenarios would the cuttlefish's behaviour demonstrate self-control?

     
    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    In the experiment, cuttlefish were trained to recognise circle to mean 'immediate', triangle to mean 'delayed' and square to mean 'never'. The passage also states that cuttlefishes' favorite food is live grass shrimp, while raw prawns are so-so and Asian shore crab is nearly unacceptable. So, the cuttlefish would demonstrate self -control if they waited for live grass shrimp labelled with a triangle to be opened while other food was readily available.

    04.

    Which one of the following cannot be inferred from Alexandra Schnell's experiment?

     
    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    The passage states that 'most of the animals' that can exercise self-control are social. Cuttlefish exhibit self-control and are not social. So, option A is not inferred from the experiment.
    Options B, C and D are easily inferred from the information given in the passage.

    05.

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

    McGurk and MacDonald (1976) reported a powerful multisensory illusion occurring with audio-visual speech. They recorded a voice articulating a consonant 'ba-ba-ba' and dubbed it with a face articulating another consonant 'ga-ga-ga'. Even though the acoustic speech signal was well recognized alone, it was heard as another consonant after dubbing with incongruent visual speech i.e., 'da-da-da'. The illusion, termed as the McGurk effect, has been replicated many times, and it has sparked an abundance of research. The reason for the great impact is that this is a striking demonstration of multisensory integration, where that auditory and visual information is merged into a unified, integrated percept.

    Option is the correct answer.

    Video Explanation

    Explanatory Answer

    The paragraph given explains the McGurk effect“ the merging of auditory and visual information into a unified integrated percept. Where there is a mismatch of audio and video signals, the message perceived is completely different from either of the signals. Option D summarises the paragraph well.
    Option A is incorrect, as it says that the 'acoustic speech signal is confusing and integration of the two is imperfect'. The integration of the signals is not imperfect and both speech and audio signals are perceived differently in case of a mismatch.
    Option B is incorrect too, as there is no 'winning' signal.
    What option C states is true, but it does not summarise the main idea of the paragraph.

    06.

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

    Developing countries are becoming hotbeds of business innovation in much the same way as Japan did from the 1950s onwards. They are reinventing systems of production and distribution, and experimenting with entirely new business models. Why are countries that were until recently associated with cheap hands now becoming leaders in innovation? Driven by a mixture of ambition and fear they are relentlessly climbing up the value chain. Emerging-market champions have not only proved highly competitive in their own backyards, they are also going global themselves

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The main idea of the given paragraph is that driven by ambition and fear, developing countries are becoming leaders in innovation and are highly competitive both domestically and globally. Option C touches upon all key ideas of the paragraph.
    Option A states that developing countries have invented new business models solely to remain competitive domestically. This is incorrect.
    Option B is true but is not as comprehensive a summary as option C.
    Option D states that production and distribution models are going through innovations 'worldwide'. The paragraph given only talks about developing countries innovating and transforming.

    07.

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

    Foreign peacekeepers often exist in a bubble in the poor countries in which they are deployed; they live in posh compounds, drive fancy vehicles, and distance themselves from locals. This may be partially justified as they are outsiders, living in constant fear, performing a job that is emotionally draining. But they are often despised by the locals, and many would like them to leave. A better solution would be bottom-up peacebuilding, which would involve their spending more time working with communities, understanding their grievances and earning their trust, rather than only meeting government officials.

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The paragraph given states that while foreign peacekeepers, due to some valid reasons, tend to live in a bubble in the poor countries where they are deployed, a bottom-up peacebuilding approach working in concert with the locals would be more effective. Option C summarises the paragraph well.
    Option A does not touch upon the idea of bottom-up peace building. So, it is incorrect.
    The paragraph does not say locals would be better at peacekeeping; B is incorrect.
    The paragraph also does not say local anger against foreign peacekeepers makes them 'the target of local anger'. Option D is also incorrect.

    09.

    The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to 21% then the volume, in cc, of the solution left in the second bottle is

    Answer : The answer is '200'

    Video Explanation

    Explanatory Answer

    Given that, there are two 800cc bottles of indigo solution with strengths of 33% and 17% respectively.

    Some amount of the solution from bottle 1 is replaced by the same amount of solution from bottle 2.
    alligations
    In 800cc of a new solution of strength 21% has two solutions in the ratio 1:3.
    200cc of 33% solution and 600cc of 17% solution combined to give 21% solution of indigo
    Hence, the remaining solution in the bottle 2 is 200cc.

    10.

    If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length, in cm, of each side of the hexagon is

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

        

    11.

    The number of integers n that satisfy the inequalities |n-60| < |n-100| < |n-20| is 

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    13.

    f(x) = \({x^{2}+2x-15 \over {x^{2}-7x-18}}\) is negative if and only if

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Keeping these roots on the number line and checking for the range where f(x) becomes negative.
    For the numbers below -5, f(x) is positive.
    For the numbers between -5 and -2, the value f(x) is negative.
    For the numbers between -2 and 3, the value of f(x) is positive.
    For the numbers between 3 and 9, the value of f(x) is negative.
    For the numbers above 9, the value of f(x) is positive.
    Hence the range should be -5 < x < -2 and 3 < x < 9.

    14.

    Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Let's consider the selling prices of small and large chocolate boxes be ‘x’ and ‘2x’ respectively.
    Let's also consider the weights of the small and large chocolate boxes to be 100(to make it easy) and y respectively.
    Given that, the selling price per gram of chocolate in the large box is 12% less than that in the small box.
    Therefore, 



    Hence, the weight of chocolate in a large box exceeds 127% of that of a small box.
    Hence the answer is 127.

         

    15.

    The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    Let's consider the one-day earnings of Neeta, Geeta, Sita to be n, g, s respectively.
    The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days
    n + g = 6(s) → eq(1)
    The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days
    s + n = 2(g) → eq(2)
    By solving eq (1) & (2) you will get the ratio n : g : s = 11 : 7 : 3
    The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is 11:3

    17.

    Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was

    Answer : The answer is '35'

    Video Explanation

    Explanatory Answer

    Let's consider the number of patients admitted in hospital A and hospital B to be 'x' and ‘x + 21' 
    Given that, the sum of recovery days for patients in hospitals A and B were 200 and 152, respectively.
    The average recovery days for patients admitted in hospital A was 3 more than the average in-hospital B.

    By solving the above equation we get x = 35.
    Hence, the number of patients admitted to hospital A is 35.

    18.

        

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    19.

    Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. If T is the midpoint of CD, then the length of AT, in cm, is 

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Hexagon construction
    In a regular hexagon, each internal angle is equal to 120°.
    From isosceles triangle ABC, we know the length of two sides and including angle.
    We will be able to find the third side (AC) using the Pythagoras theorem or the sine rule.
    Hence, AC = 2√3cm
    Given that, T is the midpoint.
    So, CT = 1cm.
    From the right-angled △ ACT,
    AC2 + CT2 = AT2
    AT2 = (2 √3)2 + (1)2 = 13
    AT = √(13)   

    20.

    Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is

    Answer : The answer is '1000'

    Video Explanation

    Explanatory Answer

    Let’s consider the total number of pens to be
    (100 +x)
    Let's consider the fixed-wage of the labour to be ‘w’
    case (i): the net profit is 300
    CP = 8(100 +x) + w
     SP = 12 x 100 + 11 x = 1200 + 11x 
    Profit = SP - CP
    300 = 1200 + 11x - 8(100 +x) - w
    w - 3x = 100 → eq(1)
    Case (ii): the net loss is 300
    CP = 8(100 +x) + w
    SP = 12 x 100 + 9 x = 1200 + 9x
    Loss = CP - SP
    300 = 8(100 +x) + w - 1200 - 9x
    w - x = 700 → eq(2)

    By solving equation (1) & (2) we get w = 1000.
    Therefore, the wage of the employee is 1000.
    Alternate solution:
    We can also do this with a little intuition. The Rs 2 decrease per pen results in 300 loss from the case of 300 profit.
    The net value of 600 resulted by selling the remaining pens at Rs 2 lesser.
    If the number of remaining pens is x, then 2x = 600

    So, x = 300.
    Total pens = 100 + 300 = 400.
    We can get the wage of an employee(w) by considering profit/loss
    Profit = 300
    100(12) + 300(11) - 400(8) -w = 300
    w = 1000

    21.

        

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    |x2 - 4x - 13| = r has exactly three distinct real roots.
    Let's complete the squares of the quadratic equation.
    |(x - 2)2 - 17| = r
    (x - 2)2 - 17 = r and (x - 2)2 - 17 = -r
    (x - 2)2 = r + 17 and (x - 2)2 = -r + 17
    Hence, we get exactly three roots when r = 17.
    The answer is 17.    

    22.

    Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Speed of faster train = 160/12 m/s 
    Let's convert it to km/hr = (160/12) x (18/5) = 48 km/hr 
    Speed of slower train = 48-6= 42 kmph 
    Trains are moving in opposite directions we must add the speeds and convert to m/s 48+42 =
    90x5/18 = 25m/s 
    (160+x)/14 =25 160 + x = 350 
    x = 190m

    23.

    Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5 months is closest to 

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    Given that onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg respectively.
    Let’s consider the amount spend on onions in these five months to be 100, 100, 100, 50, 50.
    Hence, the number of kgs in these five months should be 10, 5, 4, 2, 1 respectively.
    The average expense on onions per kg over these five months is given by

    Therefore, the closest average would be 18.

    24.
    25.

    How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order? 

    Answer : The answer is '70'

    Video Explanation

    Explanatory Answer

    Let's consider a three-digit number to be ‘abc’.
    Given that, three-digit numbers increase by 198 when the three digits are arranged in the reverse order.
    100c + 10b + a - 100a - 10b - c = 198
    99c - 99a = 198
    c - a = 2
    So, the difference between the hundreds place digit and the units place digit is 2.
    The possible combinations are:
    1 _ 3, 2 _ 4, 3 _ 5, 4 _ 6, 5 _ 7, 6 _ 8, 7 _ 9.
    We have 10 numbers for each combination.
    Hence, the total numbers are 70.

    26.

    The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is(assume each number can only occur once)

    Answer : The answer is '47'

    Video Explanation

    Explanatory Answer

    Given that the numbers 3 and 5 should be present in every subset and contain at least 3 numbers in it.
    First, we need to find the subsets possible
    {3, 5, 1, 2, 4, 6, 7, 8} except 3 and 5, remaining all numbers have two possible outcomes that either it is in the set or out of the set.
    So, the number of possible subsets containing at least 3 numbers is 26-1 = 63
    (In this 26, we have a possibility that nothing is present from {1, 2, 4, 6, 7, 8}. So, we should remove that possibility.)
    From these 63, we need to remove the subsets which have {3, 5, 7, 8}
    {3, 5, 7, 8, 1, 2, 4, 6} except 3, 5, 7, 8 remaining all numbers {1, 2, 4, 6} have two possible outcomes that either it is in the set or out of the set.
    So, the number of sets possible is 24 = 16
    Therefore, the answer would be 63 - 16 = 47.

    27.

        

    Answer : The answer is '99'

    Video Explanation

    Explanatory Answer

    29.

    The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), … and so on. Then, the sum of the numbers in the 15th group is equal to 

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), ….. and so on.
    If you observe that the first group ends with 12, the second group ends with 22and the third group ends with 32 
    Hence, the 15th group ends with 152 = 225.
    The 14th group ends with 142 = 196.
    Therefore, the 15th group contains (197, 198, . . . . . . . . . . ,225)

    30.


    The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.

     

     

    01.

    The total sales (in ₹ million) in 2019 from products in office supplies category is closest to

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Set 1

    Binders = 3.6
    Art = 0.4
    Appliances = 1.9
    Envelopes = 0.4
    Fasteners = 0.1 

    Labels = 0.3
    Paper = 1.5
    Storage = 4.4
    Supplies = 1.05
    Total = 13.65
    This is closest to option D

    02.

    The percentage increase in sales in Furniture category from 2019 to 2020 is closest to

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    % increase = (15.7-14.5)/14.5 = 8% 

    03.

    How many subcategories had sales of ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?

    Answer : 1

    Video Explanation

    Explanatory Answer

    Only 4 categories had sales more than 4 million in 2019 chairs, tables, storage and phones only for phones can we see a 25% rise in sales from 2019 to 2021 

    04.

    The improvement index for a category is the maximum percentage increase in sales from 2019 to 2020 among any of its subcategories. The correct order of categories in increasing order of this improvement index is

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    The best way to tackle this question is observation and analysis when we see the sub category of furniture i.e bookcases, chair, furnishing and table we notice a minimal increase from 2019 to 2020 which in the other 2 categories significant chances are visible in terns of sales revenue. Based on this analysis we can conclude that furniture category will have the least improvement index and based on this conclusion option D is the correct answer.

     

    The exam setter set this question to differentiate between a 95 and 99 percentiler as you can notice and anyone who went through this approach just had one option waiting as the possible correct answer. 

    31.

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
     

      No. of Friends No. of Acquaintances No. of Strangers
    Amudha   1 4
    Bharatan      
    Chandran   1  
    Dhinesh     2
    Ezhil     1
    Fani 1    
    Gowtham   3 2

    The following additional facts are also known. 

    1. Amudha, Bharatan, and Chandran are mutual strangers. 

    2. Amudha, Dhinesh, and Fani are Ezil's friends.

    3. Chandran and Gowtham are friends.

    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.

    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

     

     

    01.

    Who are Gowtham's acquaintances?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    Basis the information given in the question the following table can be made

    Now since every person has a particular relationship with the other 6 people in the town
    the sum of friends + acquaintances + strangers must be 6, thus 

    Now B can only have 1 friend who is also an acquaintance of A, basis the above table B can only be
    friends with C or D. B can only be friends with D as C cannot be an acquaintance of A as C is a
    stranger to A. Thus F & G will be strangers to A & B and vice-versa. Also, G will have D, E, F as
    acquaintances and vice-versa. 

    D needs to have 2 strangers who will be C & F and vice-versa
    Also C will be a stranger to E and vice-versa, thus F will be an acquaintance to C and vice-versa
    Dhinesh is an acquaintance of Amudha 

    02.

    Which of these pairs share the same type of relationship?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Basis the information given in the question the following table can be made

    Now since every person has a particular relationship with the other 6 people in the town
    the sum of friends + acquaintances + strangers must be 6, thus 

    Now B can only have 1 friend who is also an acquaintance of A, basis the above table B can only be
    friends with C or D. B can only be friends with D as C cannot be an acquaintance of A as C is a
    stranger to A. Thus F & G will be strangers to A & B and vice-versa. Also, G will have D, E, F as
    acquaintances and vice-versa. 

    D needs to have 2 strangers who will be C & F and vice-versa
    Also C will be a stranger to E and vice-versa, thus F will be an acquaintance to C and vice-versa
    (Bharatan, Ezhil) and (Fani, Gowtham) share the same type of relationship. 

    03.

    Who is an acquaintance of Amudha?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Basis the information given in the question the following table can be made

    Now since every person has a particular relationship with the other 6 people in the town
    the sum of friends + acquaintances + strangers must be 6, thus 

    Now B can only have 1 friend who is also an acquaintance of A, basis the above table B can only be
    friends with C or D. B can only be friends with D as C cannot be an acquaintance of A as C is a
    stranger to A. Thus F & G will be strangers to A & B and vice-versa. Also, G will have D, E, F as
    acquaintances and vice-versa. 

    D needs to have 2 strangers who will be C & F and vice-versa
    Also C will be a stranger to E and vice-versa, thus F will be an acquaintance to C and vice-versa
    Dhinesh is an acquaintance of Amudha 

    04.

    Who is an acquaintance of Chandran?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    Basis the information given in the question the following table can be made

    Now since every person has a particular relationship with the other 6 people in the town
    the sum of friends + acquaintances + strangers must be 6, thus 

    Now B can only have 1 friend who is also an acquaintance of A, basis the above table B can only be
    friends with C or D. B can only be friends with D as C cannot be an acquaintance of A as C is a
    stranger to A. Thus F & G will be strangers to A & B and vice-versa. Also, G will have D, E, F as
    acquaintances and vice-versa. 

    D needs to have 2 strangers who will be C & F and vice-versa
    Also C will be a stranger to E and vice-versa, thus F will be an acquaintance to C and vice-versa
    Fani is an acquaintance of Chandran. 

    05.

    How many friends does Ezhil have?

    Answer : 3

    Video Explanation

    Explanatory Answer

    Basis the information given in the question the following table can be made

    Now since every person has a particular relationship with the other 6 people in the town
    the sum of friends + acquaintances + strangers must be 6, thus 

    Now B can only have 1 friend who is also an acquaintance of A, basis the above table B can only be
    friends with C or D. B can only be friends with D as C cannot be an acquaintance of A as C is a
    stranger to A. Thus F & G will be strangers to A & B and vice-versa. Also, G will have D, E, F as
    acquaintances and vice-versa. 

    D needs to have 2 strangers who will be C & F and vice-versa

    Also C will be a stranger to E and vice-versa, thus F will be an acquaintance to C and vice-versa
    Ezhil have 3 friends. 

    06.

    How many people are either a friend or a friend-of-a-friend of Ezhil?

    Answer : 4

    Video Explanation

    Explanatory Answer

    Basis the information given in the question the following table can be made

    Now since every person has a particular relationship with the other 6 people in the town
    the sum of friends + acquaintances + strangers must be 6, thus 

    Now B can only have 1 friend who is also an acquaintance of A, basis the above table B can only be
    friends with C or D. B can only be friends with D as C cannot be an acquaintance of A as C is a
    stranger to A. Thus F & G will be strangers to A & B and vice-versa. Also, G will have D, E, F as
    acquaintances and vice-versa. 

    D needs to have 2 strangers who will be C & F and vice-versa

    Also C will be a stranger to E and vice-versa, thus F will be an acquaintance to C and vice-versa
    4 people are either a friend or a friend-of-a-friend of Ezhil. 

    32.

    Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

    Table-1

    Finished product Raw materials required
    Mango smoothie Mango, Milk
    Apple smoothie Apple, Milk
    Banana smoothie Banana, Milk
    Mixed fruit smoothie Mango, Apple, Banana, Milk
    Fruit salad Mango, Apple, Banana

    One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of ₹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit.

    The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2. 



    Table-2

    Business Hour Ganga Kaveri Narmada
    Hour 1 23 19 31
    Hour 2 21 22 21
    Hour 3 29 30 23
    Hour 4 (last hour) 30 27 22

    The following additional facts are known.

    1. No one except possibly Ganga sold any Mango smoothie.

    2. Each woman sold either zero or one unit of any single finished product in any hour.

    3. Each woman had exactly one unit each of two different raw materials as leftovers.

    4. No one had any banana leftover. 

     

     

    01.

    What BEST can be concluded about the number of units of fruit salad sold in the first hour?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    GANGA
    Hour 1 = 23 Mango + Apple = 12+11
    Fruit salad + Apple = 12+11
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 29 Banana + MFS = 10+19 

    Hour 4 = 30 Mango+ Fruit S+ Leftover milk+ leftover mango
    = 12+12+4+2 = 30
    KAVERI
    Hour 1 = 19 Mixed fruit smoothies
    Hour 2 = 22 Fruit S + Banana = 10+12
    Hour 3 = 29 Apple + MFS = 11+19
    Hour 4 = 27 Mango+ Apple+ milk+ Banana
    = 11+10+4+2 = 27
    OR Banana+ fruit +milk + apple = 10+12+4+2=27
    NARMADA
    Hour 1 = 31 Mixed fruit smoothies + Fruit salad = 19+12
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 23 Apple + Fruit = 11+12
    Hour 4 = 22 MFS + Left mango + left apple
    = 19+2+1 = 22
    Narmada must sell a fruit salad
    Ganga may or may not sell fruit salad
    è Either 1 or 2 

    02.

    Which of the following is NECESSARILY true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    GANGA
    Hour 1 = 23 Mango + Apple = 12+11
    Fruit salad + Apple = 12+11
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 29 Banana + MFS = 10+19
    Hour 4 = 30 Mango+ Fruit S+ Leftover milk+ leftover mango
    = 12+12+4+2 = 30
    KAVERI
    Hour 1 = 19 Mixed fruit smoothies
    Hour 2 = 22 Fruit S + Banana = 10+12
    Hour 3 = 29 Apple + MFS = 11+19
    Hour 4 = 27 Mango+ Apple+ milk+ Banana
    = 11+10+4+2 = 27
    OR Banana+ fruit +milk + apple = 10+12+4+2=27
    NARMADA
    Hour 1 = 31 Mixed fruit smoothies + Fruit salad = 19+12
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 23 Apple + Fruit = 11+12
    Hour 4 = 22 MFS + Left mango + left apple
    = 19+2+1 = 22
    Validating all the options from above data, Option C is the only option necessarily TRUE 

    03.

    What BEST can be concluded about the total number of units of milk the three women had in the beginning?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    GANGA
    Hour 1 = 23 Mango + Apple = 12+11
    Fruit salad + Apple = 12+11
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 29 Banana + MFS = 10+19
    Hour 4 = 30 Mango+ Fruit S+ Leftover milk+ leftover mango
    = 12+12+4+2 = 30
    KAVERI
    Hour 1 = 19 Mixed fruit smoothies
    Hour 2 = 22 Fruit S + Banana = 10+12
    Hour 3 = 29 Apple + MFS = 11+19
    Hour 4 = 27 Mango+ Apple+ milk+ Banana
    = 11+10+4+2 = 27
    OR Banana+ fruit +milk + apple = 10+12+4+2=27
    NARMADA
    Hour 1 = 31 Mixed fruit smoothies + Fruit salad = 19+12 

    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 23 Apple + Fruit = 11+12
    Hour 4 = 22 MFS + Left mango + left apple
    = 19+2+1 = 22 

    04.

    If it is known that three leftover units of mangoes were sold during the last business hour of the day, how many apple smoothies were sold during the day?

    Answer : 6

    Video Explanation

    Explanatory Answer

    GANGA
    Hour 1 = 23 Mango + Apple = 12+11
    Fruit salad + Apple = 12+11
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 29 Banana + MFS = 10+19
    Hour 4 = 30 Mango+ Fruit S+ Leftover milk+ leftover mango
    = 12+12+4+2 = 30
    KAVERI
    Hour 1 = 19 Mixed fruit smoothies
    Hour 2 = 22 Fruit S + Banana = 10+12
    Hour 3 = 29 Apple + MFS = 11+19
    Hour 4 = 27 Mango+ Apple+ milk+ Banana
    = 11+10+4+2 = 27
    OR Banana+ fruit +milk + apple = 10+12+4+2=27
    NARMADA
    Hour 1 = 31 Mixed fruit smoothies + Fruit salad = 19+12
    Hour 2 = 21 Apple + Banana = 11+10
    Hour 3 = 23 Apple + Fruit = 11+12
    Hour 4 = 22 MFS + Left mango + left apple
    = 19+2+1 = 22
    Ganga and Narmada already have leftover mangoes
    for Kaveri we will consider Case 1 in hour 4
    à 6 apple smoothies were sold 

    33.

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.
     
    The following facts are also known.
     
    1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
    2. A was from the Automation area and did not have a paper scheduled in the October issue.
    3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
    4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
    5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
    6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
    7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
    8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
    9. C and H belonged to different areas.

     

     

    01.

    What is the correct sequence of number of papers written by B, C, E and G, respectively?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    From statement 3, Japanese and chinese did not belong to automation à A is indian
    From statement 7, B and G belong to the same country and D is from Japan.
    à Band G can be Indans only. Alos, H will be Japanese
    From 5, E and C had some no. of papers, also E has consecutive papers i.e E wrote 2 papers
    which means C also wrote 2 pages. Thus B wrote 1 paper as sum (B,C,E,F)= 6
    From 3, G can belong to automation
    From stat5, C and E are from different areas which can be either of manufacturing and logistics,
    thus H is from Logistics
    Now A cannot publish in October
    H cannot publish in oct as H & A publish in same months
    G cannot publish in April as B publish in April
    D cannot publish in July.
    Thus none of the 4 authors can publish in 4 issues, that means they publish 3 papers each. 

    E publish in April and July as C cannot publish consecutive months.
    1, 2, 2, 3 is the correct sequence of number of papers written by B, C, E and G, respectively

    02.

    How many papers were written by Indian authors?

    Answer : 8

    Video Explanation

    Explanatory Answer

    From statement 3, Japanese and chinese did not belong to automation à A is indian
    From statement 7, B and G belong to the same country and D is from Japan.
    à Band G can be Indans only. Alos, H will be Japanese
    From 5, E and C had some no. of papers, also E has consecutive papers i.e E wrote 2 papers
    which means C also wrote 2 pages. Thus B wrote 1 paper as sum (B,C,E,F)= 6
    From 3, G can belong to automation
    From stat5, C and E are from different areas which can be either of manufacturing and logistics,
    thus H is from Logistics
    Now A cannot publish in October
    H cannot publish in oct as H & A publish in same months
    G cannot publish in April as B publish in April
    D cannot publish in July.
    Thus none of the 4 authors can publish in 4 issues, that means they publish 3 papers each. 

    8 papers were written by Indian authors. 

    03.

    Which of the following statement(s) MUST be true?
    Statement A: Every issue had at least one paper by author(s) from each country.
    Statement B: Every issue had at most two papers by author(s) from each area.

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    From statement 3, Japanese and chinese did not belong to automation à A is indian
    From statement 7, B and G belong to the same country and D is from Japan.
    à Band G can be Indans only. Alos, H will be Japanese
    From 5, E and C had some no. of papers, also E has consecutive papers i.e E wrote 2 papers
    which means C also wrote 2 pages. Thus B wrote 1 paper as sum (B,C,E,F)= 6
    From 3, G can belong to automation
    From stat5, C and E are from different areas which can be either of manufacturing and logistics,
    thus H is from Logistics
    Now A cannot publish in October
    H cannot publish in oct as H & A publish in same months
    G cannot publish in April as B publish in April
    D cannot publish in July.
    Thus none of the 4 authors can publish in 4 issues, that means they publish 3 papers each. 

    Statement A: Every issue had at least one paper by author(s) from each country – Ture
    Statement B: Every issue had at most two papers by author(s) from each area. – Not True 

    04.

    Which of the following statements is FALSE?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    From statement 3, Japanese and chinese did not belong to automation à A is indian
    From statement 7, B and G belong to the same country and D is from Japan.
    à Band G can be Indans only. Alos, H will be Japanese
    From 5, E and C had some no. of papers, also E has consecutive papers i.e E wrote 2 papers
    which means C also wrote 2 pages. Thus B wrote 1 paper as sum (B,C,E,F)= 6
    From 3, G can belong to automation
    From stat5, C and E are from different areas which can be either of manufacturing and logistics,
    thus H is from Logistics
    Now A cannot publish in October
    H cannot publish in oct as H & A publish in same months
    G cannot publish in April as B publish in April
    D cannot publish in July.
    Thus none of the 4 authors can publish in 4 issues, that means they publish 3 papers each. 

    Every issue had exactly two papers by authors from Logistics area Is not true. 

    05.

    Which of the following statements is FALSE?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    From statement 3, Japanese and chinese did not belong to automation à A is indian
    From statement 7, B and G belong to the same country and D is from Japan.
    à Band G can be Indans only. Alos, H will be Japanese
    From 5, E and C had some no. of papers, also E has consecutive papers i.e E wrote 2 papers
    which means C also wrote 2 pages. Thus B wrote 1 paper as sum (B,C,E,F)= 6
    From 3, G can belong to automation
    From stat5, C and E are from different areas which can be either of manufacturing and logistics,
    thus H is from Logistics
    Now A cannot publish in October
    H cannot publish in oct as H & A publish in same months
    G cannot publish in April as B publish in April
    D cannot publish in July.
    Thus none of the 4 authors can publish in 4 issues, that means they publish 3 papers each. 

    There were exactly two papers by authors from Manufacturing area in the July issue is false. 

    06.

    Which of the following is the correct sequence of number of papers by authors from Automation, Manufacturing and Logistics areas, respectively?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    From statement 3, Japanese and chinese did not belong to automation à A is indian
    From statement 7, B and G belong to the same country and D is from Japan.
    à Band G can be Indans only. Alos, H will be Japanese
    From 5, E and C had some no. of papers, also E has consecutive papers i.e E wrote 2 papers
    which means C also wrote 2 pages. Thus B wrote 1 paper as sum (B,C,E,F)= 6
    From 3, G can belong to automation
    From stat5, C and E are from different areas which can be either of manufacturing and logistics,
    thus H is from Logistics
    Now A cannot publish in October
    H cannot publish in oct as H & A publish in same months
    G cannot publish in April as B publish in April
    D cannot publish in July.
    Thus none of the 4 authors can publish in 4 issues, that means they publish 3 papers each. 

    6, 5, 7 is the correct sequence of number of papers by authors from Automation, Manufacturing
    and Logistics areas, respectively.