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CAT Mock Test - 17 (November 19) - CAT MCQ


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30 Questions MCQ Test - CAT Mock Test - 17 (November 19)

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CAT Mock Test - 17 (November 19) - Question 1

Directions: Read the following passage carefully and answer the questions that follow.

Bill Gates is a lot luckier than you might realise. He may be a very talented man who worked his way up from geek to the top spot on the list of the world's richest people. But his extreme success perhaps tells us more about the importance of circumstances beyond his control than it does about how skill and perseverance are rewarded.

We often fall for the idea that the exceptional performers are the most skilled or talented. But this is flawed. Exceptional performances tend to occur in exceptional circumstances. Top performers are often the luckiest people, who have benefited from being at the right place and right time. They are what we call outliers, whose performances may be examples set apart from the system that everyone else works within.

Many treat Gates, and other highly successful people like him, as deserving of huge attention and reward, as people from whom we could learn a lot about how to succeed. But assuming life's "winners" got there from performance alone is likely to lead to disappointment. Even if you could imitate everything Gates did, you would not be able to replicate his initial good fortune.

For example, Gates's upper-class background and private education enabled him to gain extra programming experience when less than 0.01% of his generation then had access to computers. His mother's social connection with IBM's chairman enabled him to gain a contract from the then-leading PC company that was crucial for establishing his software empire.

This is important because most customers who used IBM computers were forced to learn how to use Microsoft's software that came along with it. This created an inertia in Microsoft's favour. The next software these customers chose was more likely to be Microsoft's, not because their software was necessarily the best, but because most people were too busy to learn how to use anything else.

Microsoft's success and market share may differ from the rest by several orders of magnitude, but the difference was really enabled by Gate's early fortune, reinforced by a strong success-breeds-success dynamic. Of course, Gates's talent and effort played important roles in the extreme success of Microsoft. But that's not enough for creating such an outlier. Talent and effort are likely to be less important than circumstances in the sense that he could not have been so successful without the latter.

One might argue that many exceptional performers still gained their exceptional skill through hard work, exceptional motivation or "grit", so they do not deserve to receive lower reward and praise. Some have even suggested that there is a magic number for greatness, a ten-year or 10,000-hour rule. Many professionals and experts did acquire their exceptional skill through persistent, deliberate practices. In fact, Gates' 10,000 hours learning computer programming as a teenager has been highlighted as one of the reasons for his success.

But detailed analyses of the case studies of experts often suggest that certain situational factors beyond the control of these exceptional performers also play an important role. For example, three national champions in table tennis came from the same street in a small suburb of one town in England.

This wasn't a coincidence or because there was nothing else to do but practise ping pong. It turns out that a famous table tennis coach, Peter Charters, happened to retire in this particular suburb. Many kids who lived on the same street as the retired coach were attracted to this sport because of him and three of them, after following the "10,000-hour rule", performed exceptionally well, including winning the national championship.

Their talent and efforts were, of course, essential for realising their exceptional performances. But without their early luck (having a reliable, high-quality coach and supportive families), simply practicing 10,000 hours without adequate feedback wouldn't likely lead a randomly picked child to become a national champion.

We could also imagine a child with superior talent in table tennis suffering from early bad luck, such as not having a capable coach or being in a country where being an athlete was not considered to be a promising career. Then they might never have a chance to realise their potential. The implication is that the more exceptional a performance is, the fewer meaningful, applicable lessons we can actually learn from the "winner".

When it comes to moderate performance, it seems much more likely that our intuition about success is correct. Conventional wisdom, such as "the harder I work the luckier I get" or "chance favours the prepared mind", makes perfect sense when talking about someone moving from poor to good performance. Going from good to great, however, is a different story.

Being in the right place (succeeding in a context where early outcome has an enduring impact) at the right time (having early luck) can be so important that it overwhelms merits. With this in mind there's a good case that we shouldn't just reward or imitate life's winners and expect to have similar success. But there is a case that the winners should consider imitating the likes of Gates (who became a philanthropist) or Warren Buffett (who argues that richer Americans should pay higher taxes) who have chosen to use their wealth and success to do good things. The winners who appreciate their luck and do not take it all deserve more of our respect.

Q. Which of the following examples best represent an outlier, as described in the passage?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 1
An outlier, as described in the passage is one 'whose performances may be examples set apart from the system that everyone else works within.' This would mean someone with extraordinary talent, one who excels in a position, where others might fail. The character in option A does show talent and skill, but is not that extraordinary, as it shows the normal good outcome of hard work. Moreover, once the boy cracked the examination, everything else was bound to follow. B is incorrect as this is not very extraordinary or surprising, as we are given factors that led to his poor performance; this implies that the student himself was not lacking in hard work or intellect. C is incorrect as it presents a surprising situation, but is not extraordinary enough on the part of the student, with respect to his talent or skill. D presents the outlier as we can infer that most college dropouts do not go on to have rich or successful careers.
CAT Mock Test - 17 (November 19) - Question 2

Directions: Read the following passage carefully and answer the questions that follow.

Bill Gates is a lot luckier than you might realise. He may be a very talented man who worked his way up from geek to the top spot on the list of the world's richest people. But his extreme success perhaps tells us more about the importance of circumstances beyond his control than it does about how skill and perseverance are rewarded.

We often fall for the idea that the exceptional performers are the most skilled or talented. But this is flawed. Exceptional performances tend to occur in exceptional circumstances. Top performers are often the luckiest people, who have benefited from being at the right place and right time. They are what we call outliers, whose performances may be examples set apart from the system that everyone else works within.

Many treat Gates, and other highly successful people like him, as deserving of huge attention and reward, as people from whom we could learn a lot about how to succeed. But assuming life's "winners" got there from performance alone is likely to lead to disappointment. Even if you could imitate everything Gates did, you would not be able to replicate his initial good fortune.

For example, Gates's upper-class background and private education enabled him to gain extra programming experience when less than 0.01% of his generation then had access to computers. His mother's social connection with IBM's chairman enabled him to gain a contract from the then-leading PC company that was crucial for establishing his software empire.

This is important because most customers who used IBM computers were forced to learn how to use Microsoft's software that came along with it. This created an inertia in Microsoft's favour. The next software these customers chose was more likely to be Microsoft's, not because their software was necessarily the best, but because most people were too busy to learn how to use anything else.

Microsoft's success and market share may differ from the rest by several orders of magnitude, but the difference was really enabled by Gate's early fortune, reinforced by a strong success-breeds-success dynamic. Of course, Gates's talent and effort played important roles in the extreme success of Microsoft. But that's not enough for creating such an outlier. Talent and effort are likely to be less important than circumstances in the sense that he could not have been so successful without the latter.

One might argue that many exceptional performers still gained their exceptional skill through hard work, exceptional motivation or "grit", so they do not deserve to receive lower reward and praise. Some have even suggested that there is a magic number for greatness, a ten-year or 10,000-hour rule. Many professionals and experts did acquire their exceptional skill through persistent, deliberate practices. In fact, Gates' 10,000 hours learning computer programming as a teenager has been highlighted as one of the reasons for his success.

But detailed analyses of the case studies of experts often suggest that certain situational factors beyond the control of these exceptional performers also play an important role. For example, three national champions in table tennis came from the same street in a small suburb of one town in England.

This wasn't a coincidence or because there was nothing else to do but practise ping pong. It turns out that a famous table tennis coach, Peter Charters, happened to retire in this particular suburb. Many kids who lived on the same street as the retired coach were attracted to this sport because of him and three of them, after following the "10,000-hour rule", performed exceptionally well, including winning the national championship.

Their talent and efforts were, of course, essential for realising their exceptional performances. But without their early luck (having a reliable, high-quality coach and supportive families), simply practicing 10,000 hours without adequate feedback wouldn't likely lead a randomly picked child to become a national champion.

We could also imagine a child with superior talent in table tennis suffering from early bad luck, such as not having a capable coach or being in a country where being an athlete was not considered to be a promising career. Then they might never have a chance to realise their potential. The implication is that the more exceptional a performance is, the fewer meaningful, applicable lessons we can actually learn from the "winner".

When it comes to moderate performance, it seems much more likely that our intuition about success is correct. Conventional wisdom, such as "the harder I work the luckier I get" or "chance favours the prepared mind", makes perfect sense when talking about someone moving from poor to good performance. Going from good to great, however, is a different story.

Being in the right place (succeeding in a context where early outcome has an enduring impact) at the right time (having early luck) can be so important that it overwhelms merits. With this in mind there's a good case that we shouldn't just reward or imitate life's winners and expect to have similar success. But there is a case that the winners should consider imitating the likes of Gates (who became a philanthropist) or Warren Buffett (who argues that richer Americans should pay higher taxes) who have chosen to use their wealth and success to do good things. The winners who appreciate their luck and do not take it all deserve more of our respect.

Q. It can be understood that the main purpose of the author in the third paragraph is to:

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 2
A is incorrect as the author does not directly say or imply that attention and respect should not be given to winners. Rather he focuses more on the suggestion that one must not fall into the trap of imitating them and expecting similar returns. C is incorrect as the passage talks of all winners, not only Gates, although it does talk of him as an example. D is incorrect as this is his primary purpose in later paragraphs, not the third one. B is the right answer, as the author seeks to clear the misconception that success cannot be achieved simply by imitating life's winners, as they did not succeed through performance alone.
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CAT Mock Test - 17 (November 19) - Question 3

Directions: Read the following passage carefully and answer the questions that follow.

After many years of practising Buddhism in Thailand, my experience expands beyond the immediate community in Sri Racha. In recent years as I have visited the White Dragon Temple, the social unrest in Thailand has crept into the religious aspect of my trips.

Religion exists as an innate piece of the landscape that etches itself into the small details of Thailand. It occupies both a very physical presence within the community and also a mental one. According to the Office of National Buddhism, 40,717 Buddhist temples exist in Thailand. Of these temples, a large portion resides in Bangkok, Thailand's capital.

Aside from being an important tourist element, Buddhism plays an important part in the lives of Thai people - an estimated 94% of all Thai people practice Buddhism in the country according to a Central Intelligence Agency report. Time and time again, there have been movements - in 1997, 2007, and 2014 - to concretize Buddhism as the nation's official religion. The Thai Constitutional Drafting Committee (CDC) has, however, remained neutral in the relationship between the state and religion.

Though the government's ideological stance on religion is decidedly impartial, significant ripples exist in this seemingly placid surface, and religion morphs into a central focal point in many instances, whether the Thai government takes an intimate position on it or not. Faith remains a link to the personal lives of common citizens and royalty alike. King Bhumibol's funeral on October 14, 2016 featured traditional Buddhist funeral rites with the ritualistic bathing of the king's body and the chanting of orange-robed monks. Adding to this ceremonious burial, his body resided in the Temple of the Emerald Buddha so that people could pay their respects to the revered king, who provided stability for his country for 70 years. Though the king in Thailand did not hold any true, legislative power, he was a reverential symbol for the people of the country. His majesty's death occurred at a moment of tension in the country as a number of attacks rocked Thailand and has only caused this pressure to spill-over. Religion is something that connects people in Thailand yet, at the same time, can be a divisive element as is evident from attacks that have occurred in the nation over the last few years.

In the span of less than a day between August 11th and 12th of 2016, 11 bombings hit five provinces in Thailand, killing at least four Thai nationals and injuring 36. These bombings occurred almost a year after one of the most devastating attacks in Thai history in Bangkok, which killed 20 people and wounded 125 more. What's more, these attacks coincided with the Queen Sirikit's birthday. On August 17, 2015, Uighur militants splintered the Thai state as they bombed the Erawan Shrine. Though the motives for the attack were more aimed at the states' repatriation of Uighur refugees, the targeting of the temple was calculated: not only is the area around the shrine a densely populated area but also, it is frequented by many tourists. These acts of terrorism that assail the kingdom have left many Thais scared and unsure in a time, without a unifying leader. Known epithetically as the "land of smiles," Thailand has had little to smile about of late.

In light of this tumultuous time in the nation's history, religious institutions like the White Dragon Temple became integral in steadying the country's course. Through the diligent service that the temple provides for the community, it is a rallying point for many frightened Thais. See Knok, the central spiritual leader in the temple, and his followers have proved to be a "stabilizing element in the wake of the King's death," especially in Sri Racha, by continuing with their public works projects - providing educational help, burial services, food distribution, and a variety of other support structures. These actions from local community leaders have started to mend the fractures that occur on a national level.

I returned to Thailand in August of 2016, during the bombings in the southern provinces of the country. On one day during this visit, I bagged fruit and food for followers and local community members alike. The cadence of shifting palates of food and thump of vegetables into bags kept time with my human tempo. With each bag I loaded onto the palates, I could measure the burden on the community of Sri Racha lift slightly. In the glimmering eyes of the young men that I worked with, I could see the brightness of Thailand's future. Beneath me, I could feel the flexing and contracting of a nation, not torn by conflict but ready to rebuild and strive onward if only for a moment.

Q. What is the main purpose behind the author's words when he says: "Known epithetically as the "land of smiles," Thailand has had little to smile about of late"?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 3
A is incorrect as the author does not talk of hypocrisy of the Thai people; he does not in any way hold them responsible for not living up to their name. Instead, by means od examples in the next paragraph, he seeks to delicately suggest that it is ironical and contrary to expectation that a country known for its smiles is facing circumstances that would disable its people to remain happy or smile. B is incorrect as although it is partially correct - the author does claim that the epithet no longer holds true for Thailand, he does not give us the origins of this epithet. C is the right answer, as it best sums up the main purpose that the author has in mind while using these words.
CAT Mock Test - 17 (November 19) - Question 4

Directions: Read the following passage carefully and answer the questions that follow.

No language has spread as widely as English, and it continues to spread. Internationally the desire to learn it is insatiable. In the twenty-first century the world is becoming more urban and more middle class, and the adoption of English is a symptom of this, for increasingly English serves as the lingua franca of business and popular culture. It is dominant or at least very prominent in other areas such as shipping, diplomacy, computing, medicine and education. A recent study has suggested that among students in the United Arab Emirates "Arabic is associated with tradition, home, religion, culture, school, arts and social sciences," whereas English "is symbolic of modernity, respect, work, higher education, commerce, economics and science and technology."

Wherever English has been used, it has lasted. Cultural might outlives military rule. In the colonial period, the languages of settlers dominated the languages of the peoples whose land they seized. They marginalized them and in some cases eventually drove them to extinction. All the while they absorbed from them whatever local terms seemed useful. The colonists' languages practised a sort of cannibalism, and its legacy is still sharply felt. English is treated with suspicion in many places where it was once the language of the imperial overlords. It is far from being a force for unity, and its endurance is stressful. In India, while English is much used in the media, administration, education and business, there are calls to curb its influence. Yet even where English has been denigrated as an instrument of colonialism, it has held on - and in most cases grown, increasing its numbers of speakers and functions.

Today it is English, rather than any created alternative, that is the world's auxiliary tongue. There are more people who use English as a second language than there are native speakers. Estimates of the numbers vary, but even the most guarded view is that English has 500 million second-language speakers. Far more of the world's citizens are eagerly jumping on board than trying to resist its progress. In places where English is used as a second language, its users often perceive it as free from the limitations of their native languages. They associate it with power and social status, and see it as a supple and sensuous medium for self-expression. It symbolizes choice and liberty. But while many of those who do not have a grasp of the language aspire to learn it, there are many others who perceive it as an instrument of oppression, associated not only with imperialism but also with the predations of capitalism and Christianity.

There are challenges to the position of English as the dominant world language in the twenty-first century. The main ones seem likely to come from Spanish and Mandarin Chinese. Both have more first-language users than English. But at present neither is much used as a lingua franca. The majority of speakers of Mandarin Chinese live in one country, and, excepting Spain, most Spanish-speakers are in the Americas. Two challenges stand out. I have mentioned India already; English is important to its global ambitions. The language's roots there are colonial, but English connects Indians less to the past than to the future. Already the language is used by more people in India than in any other country, the United States included. Meanwhile in China the number of students learning the language is increasing rapidly. The entrepreneur Li Yang has developed Crazy English, an unorthodox teaching method. It involves a lot of shouting. This, Li explains, is the way for Chinese to activate their "international muscles." His agenda is patriotic.

The embrace of English in the world's two most populous countries means that the language is changing. Some of the changes are likely to prove disconcerting for its native speakers. The "English-ness" of English is being diluted. So, more surprisingly, is its American flavour. English's centre of gravity is moving; in fact, in the twenty-first century the language has many centres. As this continues, native English-speakers may find themselves at a disadvantage.

At the same time, native speakers of English tend to assume that their ability in this potent language makes it unimportant to learn other languages. The reality is different. British companies often miss out on export opportunities because of a lack of relevant language skills. Moreover, there is a chance that a command of English will within twenty or thirty years be regarded as a basic skill for business, and native speakers of the language will no longer enjoy any competitive advantage. The consequences are complex. Some, it would seem, are not as intended. Even as vast amounts are spent on spreading British English, the reality is that English is taking on more and more local colour in the different places where it is used. Accordingly, while the number of languages in the world is diminishing, the number of Englishes is increasing.

Q. It can be understood from the context of the passage that when the author says: "the number of Englishes is increasing", he means which of the following?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 4
Note that the sentence prior to this one talks about English taking on more and more local colour in the different places where it is used. The context of the last and the second to last paragraph also talks along these lines where it illustrates how English is changing as more and more people are speaking it, and how local forms are not dominating the realm of spoken English. From this we can ascertain that B is most likely to be the meaning behind the author's words. B is the right answer.
CAT Mock Test - 17 (November 19) - Question 5

Passage: In all battles two things are usually required of the Commander—in—Chief: to make a good plan for his army and to keep a strong reserve. Both of these are also obligatory for the painter. To make a plan, thorough reconnaissance of the country where the battle is to be fought is needed. Its fields, its mountains, its rivers, its bridges, its trees, its flowers, its atmosphere—all require and repay attentive observation from a special point of view. I think this is one of the chief delights that have come to me through painting. No doubt many people who are lovers of art have acquired it to a high degree without actually practicing.
But I expect that nothing will make one observe more quickly or more thoroughly than having to face the difficulty of representing the thing observed. And mind you, if you do observe accurately and with refinement, and if you do record what you have seen with tolerable correspondence, the result follows on the canvas with startling obedience. But in order to make his plan, the General must not only reconnoiter the battle—ground; he must also study the achievements of the great Captains of the past. He must bring the observations he has collected in the field into comparison with the treatment of similar incidents by famous chiefs. Considering that, the galleries of Europe take on a new—and to me at least a severely practical—interest. "This, then, is how —— painted a cataract.
Exactly, and there is that same light I noticed last week in the waterfall at ——. " And so on. You see the difficulty that baffled you yesterday; and you see how easily it has been overcome by a great or even by a skillful painter. Not only is your observation of Nature sensibly improved and developed, but also your comprehension of the masterpieces of art. But it is in the use and withholding of their reserves that the great commanders have generally excelled. After all, when once the last reserve has been thrown in, the commander's part is played.
If that does not win the battle, he has nothing else to give. Everything must be left to luck and to the fighting troops. But these last reserves, in the absence of high direction, are apt to get into sad confusion, all mixed together in a nasty mess, without order or plan—and consequently without effect. Mere masses count no more. The largest brush, the brightest colors cannot even make an impression. The pictorial battlefield becomes a sea of mud mercifully veiled by the fog of war. Even though the General plunges in himself and emerges bespattered, as he sometimes does, he will not retrieve the day. In painting, the reserves consist in Proportion or Relation.
And it is here that the art of the painter marches along the road which is traversed by all the greatest harmonies in thought. At one side of the palette there is white, at the other black; and neither is ever used ?neat.' Between these two rigid limits all the action must lie, all the power required must be generated. Black and white themselves placed in juxtaposition make no great impression; and yet they are the most that you can do in pure contrast.

Q. Below are listed various opinions that might possibly be ascribed to the author. Based on the passage, which of the following could most reasonably be attributed to the author?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 5

The question asks what opinion could be ascribed to the author—what isn't stated, but can be inferred. Before looking at the answers, be sure you recall the author's opinions. While each of the three wrong answer choices is flawed, (D) has nothing specifically to do with painting, but does summarize how the author makes his argument. If the author didn't believe this, the argument in the passage could never have been made.

Wrong answers:

(A): Out of Scope. There's no contrast in the passage between talent and training. While the author seems to suggest that certain artistic abilities can be trained, there's nothing to indicate that he believes this at the expense of talent.

(B): Distortion. While the author does say in the first paragraph that fighting unsuccessfully is more exciting than winning, that doesn't necessarily mean that more is learned.

(C): Distortion. The author clearly believes that modern artists can learn from the masters, but there's nothing to suggest that he believes that the masters can't be equaled. The tone of this answer choice is far more severe and negative than the author's tone.

CAT Mock Test - 17 (November 19) - Question 6

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.

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 6

The paragraph describes how Europe changed its internal structure and transformed itself into a united whole using peaceful mechanisms in the new multi-polar world. Option D captures all key ideas in the paragraph. The paragraph is specific to the time after Soviet decline and emergent unification of Germany-- a multi-polar world. Options A and C do not include this idea. The paragraph explains how Europe changed its internal structure by adjusting its differences by peaceful mechanisms. Option B does not include this.

CAT Mock Test - 17 (November 19) - Question 7

Directions: Read the information given below and answer the question that follows.

Five contestants, Danny, Elizabeth, Ashok, Ramesh and Franklin, entered in a puzzle show which had four puzzles – First puzzle, Second puzzle, Third puzzle and Fourth puzzle. Each puzzle had three checkboxes, Checkbox-1, Checkbox-2 and Checkbox-3, and each contestant had to choose one of the three checkboxes as his/her answer for each. The five contestants were sitting in a line, one behind the other, facing the same direction, not necessarily in the same order as mentioned above. During the show, except for the contestant sitting at the beginning of the line, each contestant copied the answer to exactly one puzzle from the contestant immediately in front of him. Further, for any pair of contestants sitting immediately next to each other, exactly one answer was the same (i.e. the answer that was copied).

It is also known that:
(i) The contestant sitting at the last position, who was not Ashok, marked the answer as Checkbox-2 for Second puzzle and Franklin, who was not at the last position, did not mark the answer to Third puzzle as Checkbox-2.
(ii) Exactly two contestants marked the answer as Checkbox-2 for First puzzle and neither of the two was sitting at any of the ends.
(iii) Danny, who was sitting immediately in front of Ashok, marked the answer as Checkbox-3 for exactly two puzzles, while Ramesh marked the answer as Checkbox-3 only for First puzzle.
(iv) Each of the four contestants who copied the answer did so for a different puzzle and each contestant marked the answer as Checkbox-1 for at least one puzzle, as Checkbox-2 for at least one puzzle and as Checkbox-3 for at least one puzzle.
(v) The contestant sitting in the middle marked the answer to Second puzzle as Checkbox-3, which he did not copy.
(vi) The contestant sitting at the second position, who was not Ashok, marked the answer as Checkbox-2 for Third puzzle, which he copied.

Q. What is the answer marked for Fourth puzzle by the contestant sitting in the last position?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 7

From (vi), the person sitting at the second position and the person sitting at the first position marked the answer to Third puzzle as Checkbox-2.
From (i), Franklin cannot be at the first or second positions because he did not mark the answer to Third puzzle as Checkbox-2.
According to (iii), Danny is sitting immediately in front of Ashok. From (vi), Ashok is not at the second position. From (i), Ashok was not at the last position. Hence, Danny and Ashok can be second and third OR third and fourth.

However, if Danny and Ashok are third and fourth, Franklin cannot be at the first, second, third or fourth position. From (i), Franklin cannot be at the last position as well.
Hence, this case is not possible. Therefore, Danny and Ashok are second and third. Franklin cannot be first or fifth. Hence, Franklin has to be fourth.

Danny would have marked the answer to Third puzzle as Checkbox-2. From (v), Ashok would have marked the answer to Second puzzle as Checkbox-3. From (iv), since Danny copied the answer to Third puzzle, none of the others could have copied the answer to the same puzzle. Since Ashok did not copy the answer to Third puzzle from Danny, his answer to Third puzzle must be Checkbox 1 or 3. From (v), Ashok did not copy the answer to Second Puzzle. Hence, Danny would have marked Checkbox-1 or Checkbox-2 for Second puzzle. From (iii), Danny would have marked Checkbox-3 for First puzzle and Fourth puzzle. Since each contestant marked each checkbox for at least one puzzle (from (iv)), Danny must have marked the answer as Checkbox-1 for Second puzzle. From (ii), two contestants marked the answer as Checkbox-2 for First puzzle. These two contestants are not at extreme ends. Since Danny (at second position) marked the answer as Checkbox-3 for First puzzle, Ashok and Franklin (at fourth position) would have marked the answer to First puzzle as Checkbox-2.

From (i), Ramesh marked the answer to First puzzle as Checkbox-3. If Ramesh was at the first position, his answer would be same as Danny's answer for this puzzle, which is not possible (since Danny copied Third puzzle from the person at the first position). Hence, Ramesh cannot be first and he will be fifth. The person at the first position will be Elizabeth.

Elizabeth must have marked the answer to First puzzle as Checkbox-1 (she could not mark Checkbox-2 since only two people marked that checkbox for First puzzle; she could not mark the answer as Checkbox-3 since Danny marked it). Elizabeth could mark the answer as Checkbox-3 only for Second puzzle. For Fourth puzzle, she could have marked as Checkbox-1 or Checkbox-2.

Ashok did not copy Second puzzle from Danny. Hence, he must have copied Fourth puzzle. Therefore, Ashok would have marked the answer to Fourth puzzle as Checkbox-3. From (iv), Ashok must mark Checkbox-1 as the answer for Third puzzle (since he did not mark Checkbox-1 for any other puzzle).

Since Franklin, Danny and Ashok copied First puzzle, Third puzzle and Fourth puzzle, respectively, Ramesh must have copied Second puzzle. From (i), Ramesh marked Checkbox-2 for Second puzzle. Hence, both Ramesh and Franklin would have marked Checkbox-2 for Second puzzle.
Since Franklin marked Checkbox-2 for First puzzle and Second puzzle. He must mark Checkbox-3 for Third puzzle and Checkbox-1 for Fourth puzzle (since Ashok marked Checkbox-1 and Checkbox-3 for Third puzzle and Fourth puzzle, respectively). Since Ramesh marked Checkbox-3 only for First puzzle, he must have marked Checkbox-2 for Fourth puzzle. For Third puzzle, he must have marked Checkbox-1 (from (iv)).

The following table presents the checkboxes marked by the four contestants:

CAT Mock Test - 17 (November 19) - Question 8

Directions: Read the information given below and answer the question that follows.

Five contestants, Danny, Elizabeth, Ashok, Ramesh and Franklin, entered in a puzzle show which had four puzzles – First puzzle, Second puzzle, Third puzzle and Fourth puzzle. Each puzzle had three checkboxes, Checkbox-1, Checkbox-2 and Checkbox-3, and each contestant had to choose one of the three checkboxes as his/her answer for each. The five contestants were sitting in a line, one behind the other, facing the same direction, not necessarily in the same order as mentioned above. During the show, except for the contestant sitting at the beginning of the line, each contestant copied the answer to exactly one puzzle from the contestant immediately in front of him. Further, for any pair of contestants sitting immediately next to each other, exactly one answer was the same (i.e. the answer that was copied).

It is also known that:
(i) The contestant sitting at the last position, who was not Ashok, marked the answer as Checkbox-2 for Second puzzle and Franklin, who was not at the last position, did not mark the answer to Third puzzle as Checkbox-2.
(ii) Exactly two contestants marked the answer as Checkbox-2 for First puzzle and neither of the two was sitting at any of the ends.
(iii) Danny, who was sitting immediately in front of Ashok, marked the answer as Checkbox-3 for exactly two puzzles, while Ramesh marked the answer as Checkbox-3 only for First puzzle.
(iv) Each of the four contestants who copied the answer did so for a different puzzle and each contestant marked the answer as Checkbox-1 for at least one puzzle, as Checkbox-2 for at least one puzzle and as Checkbox-3 for at least one puzzle.
(v) The contestant sitting in the middle marked the answer to Second puzzle as Checkbox-3, which he did not copy.
(vi) The contestant sitting at the second position, who was not Ashok, marked the answer as Checkbox-2 for Third puzzle, which he copied.

Q. Which checkbox was marked by the maximum number of contestants for Fourth puzzle?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 8

From (vi), the person sitting at the second position and the person sitting at the first position marked the answer to Third puzzle as Checkbox-2.
From (i), Franklin cannot be at the first or second positions because he did not mark the answer to Third puzzle as Checkbox-2.
According to (iii), Danny is sitting immediately in front of Ashok. From (vi), Ashok is not at the second position. From (i), Ashok was not at the last position. Hence, Danny and Ashok can be second and third OR third and fourth.

However, if Danny and Ashok are third and fourth, Franklin cannot be at the first, second, third or fourth position. From (i), Franklin cannot be at the last position as well.
Hence, this case is not possible. Therefore, Danny and Ashok are second and third. Franklin cannot be first or fifth. Hence, Franklin has to be fourth.

Danny would have marked the answer to Third puzzle as Checkbox-2. From (v), Ashok would have marked the answer to Second puzzle as Checkbox-3. From (iv), since Danny copied the answer to Third puzzle, none of the others could have copied the answer to the same puzzle. Since Ashok did not copy the answer to Third puzzle from Danny, his answer to Third puzzle must be Checkbox 1 or 3. From (v), Ashok did not copy the answer to Second Puzzle. Hence, Danny would have marked Checkbox-1 or Checkbox-2 for Second puzzle. From (iii), Danny would have marked Checkbox-3 for First puzzle and Fourth puzzle. Since each contestant marked each checkbox for at least one puzzle (from (iv)), Danny must have marked the answer as Checkbox-1 for Second puzzle. From (ii), two contestants marked the answer as Checkbox-2 for First puzzle. These two contestants are not at extreme ends. Since Danny (at second position) marked the answer as Checkbox-3 for First puzzle, Ashok and Franklin (at fourth position) would have marked the answer to First puzzle as Checkbox-2.

From (i), Ramesh marked the answer to First puzzle as Checkbox-3. If Ramesh was at the first position, his answer would be same as Danny's answer for this puzzle, which is not possible (since Danny copied Third puzzle from the person at the first position). Hence, Ramesh cannot be first and he will be fifth. The person at the first position will be Elizabeth.

Elizabeth must have marked the answer to First puzzle as Checkbox-1 (she could not mark Checkbox-2 since only two people marked that checkbox for First puzzle; she could not mark the answer as Checkbox-3 since Danny marked it). Elizabeth could mark the answer as Checkbox-3 only for Second puzzle. For Fourth puzzle, she could have marked as Checkbox-1 or Checkbox-2.

Ashok did not copy Second puzzle from Danny. Hence, he must have copied Fourth puzzle. Therefore, Ashok would have marked the answer to Fourth puzzle as Checkbox-3. From (iv), Ashok must mark Checkbox-1 as the answer for Third puzzle (since he did not mark Checkbox-1 for any other puzzle).

Since Franklin, Danny and Ashok copied First puzzle, Third puzzle and Fourth puzzle, respectively, Ramesh must have copied Second puzzle. From (i), Ramesh marked Checkbox-2 for Second puzzle. Hence, both Ramesh and Franklin would have marked Checkbox-2 for Second puzzle.
Since Franklin marked Checkbox-2 for First puzzle and Second puzzle. He must mark Checkbox-3 for Third puzzle and Checkbox-1 for Fourth puzzle (since Ashok marked Checkbox-1 and Checkbox-3 for Third puzzle and Fourth puzzle, respectively). Since Ramesh marked Checkbox-3 only for First puzzle, he must have marked Checkbox-2 for Fourth puzzle. For Third puzzle, he must have marked Checkbox-1 (from (iv)).

The following table presents the checkboxes marked by the four contestants:

Checkbox-3 was marked by two persons and one of Checkbox-1 and Checkbox-2 would be marked by two persons. Hence, more than one of the given checkboxes would have been marked by the maximum number of persons.

CAT Mock Test - 17 (November 19) - Question 9

Directions: Read the information given below and answer the question that follows.

Five contestants, Danny, Elizabeth, Ashok, Ramesh and Franklin, entered in a puzzle show which had four puzzles – First puzzle, Second puzzle, Third puzzle and Fourth puzzle. Each puzzle had three checkboxes, Checkbox-1, Checkbox-2 and Checkbox-3, and each contestant had to choose one of the three checkboxes as his/her answer for each. The five contestants were sitting in a line, one behind the other, facing the same direction, not necessarily in the same order as mentioned above. During the show, except for the contestant sitting at the beginning of the line, each contestant copied the answer to exactly one puzzle from the contestant immediately in front of him. Further, for any pair of contestants sitting immediately next to each other, exactly one answer was the same (i.e. the answer that was copied).

It is also known that:
(i) The contestant sitting at the last position, who was not Ashok, marked the answer as Checkbox-2 for Second puzzle and Franklin, who was not at the last position, did not mark the answer to Third puzzle as Checkbox-2.
(ii) Exactly two contestants marked the answer as Checkbox-2 for First puzzle and neither of the two was sitting at any of the ends.
(iii) Danny, who was sitting immediately in front of Ashok, marked the answer as Checkbox-3 for exactly two puzzles, while Ramesh marked the answer as Checkbox-3 only for First puzzle.
(iv) Each of the four contestants who copied the answer did so for a different puzzle and each contestant marked the answer as Checkbox-1 for at least one puzzle, as Checkbox-2 for at least one puzzle and as Checkbox-3 for at least one puzzle.
(v) The contestant sitting in the middle marked the answer to Second puzzle as Checkbox-3, which he did not copy.
(vi) The contestant sitting at the second position, who was not Ashok, marked the answer as Checkbox-2 for Third puzzle, which he copied.

Q. Who among the following marked the answer to First puzzle as Checkbox-1?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 9

From (vi), the person sitting at the second position and the person sitting at the first position marked the answer to Third puzzle as Checkbox-2.
From (i), Franklin cannot be at the first or second positions because he did not mark the answer to Third puzzle as Checkbox-2.
According to (iii), Danny is sitting immediately in front of Ashok. From (vi), Ashok is not at the second position. From (i), Ashok was not at the last position. Hence, Danny and Ashok can be second and third OR third and fourth.

However, if Danny and Ashok are third and fourth, Franklin cannot be at the first, second, third or fourth position. From (i), Franklin cannot be at the last position as well.
Hence, this case is not possible. Therefore, Danny and Ashok are second and third. Franklin cannot be first or fifth. Hence, Franklin has to be fourth.

Danny would have marked the answer to Third puzzle as Checkbox-2. From (v), Ashok would have marked the answer to Second puzzle as Checkbox-3. From (iv), since Danny copied the answer to Third puzzle, none of the others could have copied the answer to the same puzzle. Since Ashok did not copy the answer to Third puzzle from Danny, his answer to Third puzzle must be Checkbox 1 or 3. From (v), Ashok did not copy the answer to Second Puzzle. Hence, Danny would have marked Checkbox-1 or Checkbox-2 for Second puzzle. From (iii), Danny would have marked Checkbox-3 for First puzzle and Fourth puzzle. Since each contestant marked each checkbox for at least one puzzle (from (iv)), Danny must have marked the answer as Checkbox-1 for Second puzzle. From (ii), two contestants marked the answer as Checkbox-2 for First puzzle. These two contestants are not at extreme ends. Since Danny (at second position) marked the answer as Checkbox-3 for First puzzle, Ashok and Franklin (at fourth position) would have marked the answer to First puzzle as Checkbox-2.

From (i), Ramesh marked the answer to First puzzle as Checkbox-3. If Ramesh was at the first position, his answer would be same as Danny's answer for this puzzle, which is not possible (since Danny copied Third puzzle from the person at the first position). Hence, Ramesh cannot be first and he will be fifth. The person at the first position will be Elizabeth.

Elizabeth must have marked the answer to First puzzle as Checkbox-1 (she could not mark Checkbox-2 since only two people marked that checkbox for First puzzle; she could not mark the answer as Checkbox-3 since Danny marked it). Elizabeth could mark the answer as Checkbox-3 only for Second puzzle. For Fourth puzzle, she could have marked as Checkbox-1 or Checkbox-2.

Ashok did not copy Second puzzle from Danny. Hence, he must have copied Fourth puzzle. Therefore, Ashok would have marked the answer to Fourth puzzle as Checkbox-3. From (iv), Ashok must mark Checkbox-1 as the answer for Third puzzle (since he did not mark Checkbox-1 for any other puzzle).

Since Franklin, Danny and Ashok copied First puzzle, Third puzzle and Fourth puzzle, respectively, Ramesh must have copied Second puzzle. From (i), Ramesh marked Checkbox-2 for Second puzzle. Hence, both Ramesh and Franklin would have marked Checkbox-2 for Second puzzle.
Since Franklin marked Checkbox-2 for First puzzle and Second puzzle. He must mark Checkbox-3 for Third puzzle and Checkbox-1 for Fourth puzzle (since Ashok marked Checkbox-1 and Checkbox-3 for Third puzzle and Fourth puzzle, respectively). Since Ramesh marked Checkbox-3 only for First puzzle, he must have marked Checkbox-2 for Fourth puzzle. For Third puzzle, he must have marked Checkbox-1 (from (iv)).

The following table presents the checkboxes marked by the four contestants:

Elizabeth marked her answer as Checkbox-1 for First puzzle.

*Answer can only contain numeric values
CAT Mock Test - 17 (November 19) - Question 10

Directions: Read the following and answer the question that follows.

Indra Co-operative Society began with a membership of three members on 1st January, 1900. The average age of this group was 18 2/3 years. Every year, a new member joined this society. The age of the individual person on 1st January of any year is an integer. The average age of the group as on 1st January, 1901 and on 1st January, 1902 was 20.75 years and 22.2 years, respectively. At any instance, the ages (in years) of the members of the group are all distinct. The eldest person in the group (of the five members) as on 1st January, 1902 was of 25 years of age. The age of any member cannot be less than 17 years on 1st January, 1900.

Q. If the eldest person among the ones, who first became members of the Indra Co-operative Society was only one year older than the other member, what was his age in years?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 10

1. January, 1900:
Let the ages of the tlue members be ab,c as on 1. January, 1900, such that a<b<c


where d is the age of the new member as on 1. January, 1901
Thus, solving we get d= 24 years

Thus solving for e, we gete = 24 years
Since the eldstperson is 25 years old as our. Tan, 1902, and all individuals have distinct aged is the dder of all 
Also, none of all and c can be more than 21 years of age E,g, if any of ab and c is 22, thenhe Mlle of 24 y®s of age on 1. Ian 1902, and e is already 24 years old on 1. Jan 1902 (2 persons with same au is not possible) 
Thus a,b,c < 21 years 
The following combinations are possible for a,b,c
Ages as on 1st Plan, 1900 couldbe (17, 19, 20).07, 18, 21)
Since this is applicable in only 1 triplet (17,19,20), age of the eldest is 20 years.

*Answer can only contain numeric values
CAT Mock Test - 17 (November 19) - Question 11

Directions: Read the following and answer the question that follows.

Indra Co-operative Society began with a membership of three members on 1st January, 1900. The average age of this group was 18 2/3 years. Every year, a new member joined this society. The age of the individual person on 1st January of any year is an integer. The average age of the group as on 1st January, 1901 and on 1st January, 1902 was 20.75 years and 22.2 years, respectively. At any instance, the ages (in years) of the members of the group are all distinct. The eldest person in the group (of the five members) as on 1st January, 1902 was of 25 years of age. The age of any member cannot be less than 17 years on 1st January, 1900.

Q. What was the age (as on 1st January, 1902), in years, of the member who joined the group on 1st January, 1902?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 11

1. January, 1900:
Let the ages of the tlue members be ab,c as on 1. January, 1900, such that a<b<c


where d is the age of the new member as on 1. January, 1901
Thus, solving we get d= 24 years

Thus solving for e, we gete = 24 years
Since the eldstperson is 25 years old as our. Tan, 1902, and all individuals have distinct aged is the dder of all 
Also, none of all and c can be more than 21 years of age E,g, if any of ab and c is 22, thenhe Mlle of 24 y®s of age on 1. Ian 1902, and e is already 24 years old on 1. Jan 1902 (2 persons with same au is not possible) 
Thus a,b,c < 21 years 
The following combinations are possible for a,b,c
Ages as on 1st Plan, 1900 couldbe (17, 19, 20).07, 18, 21)
24 years was the age (as on 1st January, 1902), in years, of the member who joined the group on 1st January, 1902. Hence, correct answer is 24 years.

*Answer can only contain numeric values
CAT Mock Test - 17 (November 19) - Question 12

Directions: Read the following and answer the question that follows.

Indra Co-operative Society began with a membership of three members on 1st January, 1900. The average age of this group was 18 2/3 years. Every year, a new member joined this society. The age of the individual person on 1st January of any year is an integer. The average age of the group as on 1st January, 1901 and on 1st January, 1902 was 20.75 years and 22.2 years, respectively. At any instance, the ages (in years) of the members of the group are all distinct. The eldest person in the group (of the five members) as on 1st January, 1902 was of 25 years of age. The age of any member cannot be less than 17 years on 1st January, 1900.

Q. What can be the maximum possible difference, in years, between the ages of the second eldest and the second youngest as on 1st January, 1902?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 12

1. January, 1900:
Let the ages of the tlue members be ab,c as on 1. January, 1900, such that a<b<c


where d is the age of the new member as on 1. January, 1901
Thus, solving we get d= 24 years

Thus solving for e, we gete = 24 years
Since the eldstperson is 25 years old as our. Tan, 1902, and all individuals have distinct aged is the dder of all 
Also, none of all and c can be more than 21 years of age E,g, if any of ab and c is 22, thenhe Mlle of 24 y®s of age on 1. Ian 1902, and e is already 24 years old on 1. Jan 1902 (2 persons with same au is not possible) 
Thus a,b,c < 21 years 
The following combinations are possible for a,b,c
Ages as on 1st Plan, 1900 couldbe (17, 19, 20).07, 18, 21)
Ages on 1st Jan, 1902 can be:
a= 19 years.
b = 21 years (2nd youngest)
c = 22 years
d = 25 years
e = 24 years (2nd eldest)
Here, the difference is 3 years
Or
a = 19 years.
b = 20 years (2nd youngest)
c = 23 years
d = 25 years
e = 24 years (2nd eldest)
Here, the difference is 4 years.

CAT Mock Test - 17 (November 19) - Question 13

Directions: Read the following and answer the question that follows.

Indra Co-operative Society began with a membership of three members on 1st January, 1900. The average age of this group was 18 2/3 years. Every year, a new member joined this society. The age of the individual person on 1st January of any year is an integer. The average age of the group as on 1st January, 1901 and on 1st January, 1902 was 20.75 years and 22.2 years, respectively. At any instance, the ages (in years) of the members of the group are all distinct. The eldest person in the group (of the five members) as on 1st January, 1902 was of 25 years of age. The age of any member cannot be less than 17 years on 1st January, 1900.

Q. As on 1st January, 1902, the median age of the five members of the society is

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 13

1. January, 1900:
Let the ages of the tlue members be ab,c as on 1. January, 1900, such that a<b<c


where d is the age of the new member as on 1. January, 1901
Thus, solving we get d= 24 years

Thus solving for e, we get e = 24 years.
Since the eldest person is 25 years old as on 1st Jan, 1902, and all individuals have distinct age, d is the eldest of all.
Also, none of a, b and c can be more than 21 years of age. E,g, if any of a, b and c is 22, then he would be of 24 years of age on 1st Jan 1902, and e is already 24 years old on 1st Jan 1902. (2 persons with same age is not possible)
Thus a, b, c ≤ 21 years.
The following combinations are possible for a, b, c
Ages as on 1st Jan, 1900 could be (17, 19, 20) or (17, 18, 21).
Ages on 1st Jan, 1902 can be:
a = 19 years
b = 21 years (2nd youngest)
c = 22 years
d = 25 years
e = 24 years (2nd eldest)
Here, the median age = 22 years
Or
a = 19 years.
b = 20 years (2nd youngest)
c = 23 years
d = 25 years
e = 24 years (2nd eldest)
Here, the median age = 23 years

CAT Mock Test - 17 (November 19) - Question 14

Directions: Read the information given below and answer the question that follows.

In a Kabaddi tournament ten teams P, Q, R, S, T, U, V, W, X and Y participated wherein every team played exactly one match with every other team. The result of the matches between the teams are given in incomplete table. The points awarded to a team for a win, draw and a loss are +2, +1 and 0 respectively. The team with the highest number of points at the end is the winner of the tournament.


The entry in any particular cell of the table gives the winner of the match between the corresponding two teams, unless the cell contains 'Draw' which means the match ended in a draw. The following information is also available:
(1) The team which got maximum points lost at most 1 match.
(2) The total number of points of R is greater than that of U.
(3) Only five matches ended as a draw.
(4) W lost all matches except one.

Q. The match between which of the following teams ended in a draw?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 14

In the first column and second row, P won the match between P and Q.
So, we can write P in first row, second column.
Similarly by placing all the teams in the grid which present above the dotted line, below it and vice-versa, we get the table as shown below:

Now as V got total 15 points and already there are 3 draws. So, V must win all the 6 remaining matches to get total 15 points.
From condition 4 we know that W won only one match which is against U. So W must lost all remaining matches. So, total points of W is 2.

As Y lost against Q, S, U and V and won against W. So to get total points 10, Y must won all remaining matches.
As T having total 5 points, so he must have lost all remaining matches

To get 8 points X must lost against U.
To get 8 points P must lose all remaining matches.
To get 15 points Q must won against S
As total number of points of R is greater than that of U. So, U must lost to S.

*Answer can only contain numeric values
CAT Mock Test - 17 (November 19) - Question 15

Directions: Read the information given below and answer the question that follows.

In a Kabaddi tournament ten teams P, Q, R, S, T, U, V, W, X and Y participated wherein every team played exactly one match with every other team. The result of the matches between the teams are given in incomplete table. The points awarded to a team for a win, draw and a loss are +2, +1 and 0 respectively. The team with the highest number of points at the end is the winner of the tournament.


The entry in any particular cell of the table gives the winner of the match between the corresponding two teams, unless the cell contains 'Draw' which means the match ended in a draw. The following information is also available:
(1) The team which got maximum points lost at most 1 match.
(2) The total number of points of R is greater than that of U.
(3) Only five matches ended as a draw.
(4) W lost all matches except one.

Q. What is the difference between maximum number of points scored by any team and the minimum number of points scored by any team?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 15

In the first column and second row, P won the match between P and Q.
So, we can write P in first row, second column.
Similarly by placing all the teams in the grid which present above the dotted line, below it and vice-versa, we get the table as shown below:

Now as V got total 15 points and already there are 3 draws. So, V must win all the 6 remaining matches to get total 15 points.
From condition 4 we know that W won only one match which is against U. So W must lost all remaining matches. So, total points of W is 2.

As Y lost against Q, S, U and V and won against W. So to get total points 10, Y must won all remaining matches.
As T having total 5 points, so he must have lost all remaining matches

To get 8 points X must lost against U.
To get 8 points P must lose all remaining matches.
To get 15 points Q must won against S
As total number of points of R is greater than that of U. So, U must lost to S.

Maximum number of points scored by any team = 15
Minimum number of points scored by any team = 2
Required difference = 13

CAT Mock Test - 17 (November 19) - Question 16

Directions: Read the information given below and answer the question that follows.

In a Kabaddi tournament ten teams P, Q, R, S, T, U, V, W, X and Y participated wherein every team played exactly one match with every other team. The result of the matches between the teams are given in incomplete table. The points awarded to a team for a win, draw and a loss are +2, +1 and 0 respectively. The team with the highest number of points at the end is the winner of the tournament.


The entry in any particular cell of the table gives the winner of the match between the corresponding two teams, unless the cell contains 'Draw' which means the match ended in a draw. The following information is also available:
(1) The team which got maximum points lost at most 1 match.
(2) The total number of points of R is greater than that of U.
(3) Only five matches ended as a draw.
(4) W lost all matches except one.

Q. Which of the following statements is definitely true?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 16

In the first column and second row, P won the match between P and Q.
So, we can write P in first row, second column.
Similarly by placing all the teams in the grid which present above the dotted line, below it and vice-versa, we get the table as shown below:

Now as V got total 15 points and already there are 3 draws. So, V must win all the 6 remaining matches to get total 15 points.
From condition 4 we know that W won only one match which is against U. So W must lost all remaining matches. So, total points of W is 2.

As Y lost against Q, S, U and V and won against W. So to get total points 10, Y must won all remaining matches.
As T having total 5 points, so he must have lost all remaining matches

To get 8 points X must lost against U.
To get 8 points P must lose all remaining matches.
To get 15 points Q must won against S
As total number of points of R is greater than that of U. So, U must lost to S.

CAT Mock Test - 17 (November 19) - Question 17

Directions: Read the information given below and answer the question that follows.

In a Kabaddi tournament ten teams P, Q, R, S, T, U, V, W, X and Y participated wherein every team played exactly one match with every other team. The result of the matches between the teams are given in incomplete table. The points awarded to a team for a win, draw and a loss are +2, +1 and 0 respectively. The team with the highest number of points at the end is the winner of the tournament.


The entry in any particular cell of the table gives the winner of the match between the corresponding two teams, unless the cell contains 'Draw' which means the match ended in a draw. The following information is also available:
(1) The team which got maximum points lost at most 1 match.
(2) The total number of points of R is greater than that of U.
(3) Only five matches ended as a draw.
(4) W lost all matches except one.

Q. The maximum matches of which team ended in a draw?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 17

In the first column and second row, P won the match between P and Q.
So, we can write P in first row, second column.
Similarly by placing all the teams in the grid which present above the dotted line, below it and vice-versa, we get the table as shown below:

Now as V got total 15 points and already there are 3 draws. So, V must win all the 6 remaining matches to get total 15 points.
From condition 4 we know that W won only one match which is against U. So W must lost all remaining matches. So, total points of W is 2.

As Y lost against Q, S, U and V and won against W. So to get total points 10, Y must won all remaining matches.
As T having total 5 points, so he must have lost all remaining matches

To get 8 points X must lost against U.
To get 8 points P must lose all remaining matches.
To get 15 points Q must won against S
As total number of points of R is greater than that of U. So, U must lost to S.

*Answer can only contain numeric values
CAT Mock Test - 17 (November 19) - Question 18

Directions: Study the following information and answer the question.

A Patna based consulting firm was celebrating the success, so they organised a party for employees. In the party, total 3 types of cold drink were served, namely, Nimca, Disprite and Mountain Dew. It is known that total 400 members were present there but 22% members didn't drink any of the three types of cold drink. Further, it is known that total 600 bottles were served in the party.

The additional information is given below:
(1) The number of employees who drank both Nimca and Disprite was 5 more than the number of employees who drank both Disprite and Mountain Dew.
(2) The sum of the number of employees who drank Nimca and Disprite only and who drank Nimca and Mountain Dew only was equal to the number of employees who drank all the three types of cold drink
(3) The ratio of the total number of bottles of Mountain Dew to the total number of bottles of Disprite served was 37 : 43.
(4) The cold drinks were served in bottles only and no employee drank more than one bottle of the same type of cold drink.
(5) The number of employees who drank all the three types of cold drink was 80.

Q. How many employees drank only one bottle of any type of cold drink?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 18

Let us assume that the number of employees who drank 1 bottle, 2 bottles and 3 bottles were A, B and C, respectively.
It is given that 22% employees didn't drink any drink.
Hence, total number of employees who drank at least 1 bottle = [(100 - 22)/100] x 400 = 312
So, we can say,
A + B + C = 312 ... (1)
Further, we know that total 600 bottles were consumed in the party.
⇒ A + 2B + 3C = 600 ... (2)
From equations (1) and (2),
B + 2C = 288
In statement (5), it is clearly mentioned that the number of employees who drank all the three types of cold drink (C) was 80.
⇒ B = 288 - 2 x 80 = 128
So, we can find the value of A:
A = 312 - 128 - 80 = 104 (From equation 1)
Now, let us draw a Venn diagram:

A = a + b + c = 104 ... (5)
B = d + e + f = 128 ... (6)
From statement (1),
⇒ (d + 80) - (80 + e) = 5
⇒ d - e = 5 ... (7)
From statement (2),
⇒ (d) + (f) = 80 ... (8)
From equations (6) and (8),
⇒ e = 48
Hence, d = 5 + e = 53 [From equation (7)] and f = 80 - d = 27

From statement (3),
(27 + 80 + 48 + c)/(53 + 80 + 48 + b) = 37/43
⇒ (155 + c)/(181+ b) = 37/43
Here, we can clearly see that the above equation will hold true only when the numerator is a multiple of 37 and the denominator is a multiple of 43.
Since 155 + c > 4 x 37 (c is a non-zero integer);
For minimum value of c, 155 + c = 5 x 37
For minimum value of c, c = 30; 181 + b = 5 x 43 ⇒ b = 34
For next value of c, 155 + c = 6 x 37
⇒ c = 67; 181 + b = 6 x 43 ⇒ b = 77
c = 67 and b = 77 is not possible because from equation (5), a + b + c = 104.
Hence, c = 30, b = 34 and a = 104 - 30 - 34 = 40


Number of employees who drank only one bottle of any type of cold drink = 40 + 30 + 34 = 104

CAT Mock Test - 17 (November 19) - Question 19

Directions: Study the following information and answer the question.

A Patna based consulting firm was celebrating the success, so they organised a party for employees. In the party, total 3 types of cold drink were served, namely, Nimca, Disprite and Mountain Dew. It is known that total 400 members were present there but 22% members didn't drink any of the three types of cold drink. Further, it is known that total 600 bottles were served in the party.

The additional information is given below:
(1) The number of employees who drank both Nimca and Disprite was 5 more than the number of employees who drank both Disprite and Mountain Dew.
(2) The sum of the number of employees who drank Nimca and Disprite only and who drank Nimca and Mountain Dew only was equal to the number of employees who drank all the three types of cold drink
(3) The ratio of the total number of bottles of Mountain Dew to the total number of bottles of Disprite served was 37 : 43.
(4) The cold drinks were served in bottles only and no employee drank more than one bottle of the same type of cold drink.
(5) The number of employees who drank all the three types of cold drink was 80.

Q. If X is the number of employees who drank exactly two bottles, then what is the sum of all the factors of X?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 19

Let us assume that the number of employees who drank 1 bottle, 2 bottles and 3 bottles were A, B and C, respectively.
It is given that 22% employees didn't drink any drink.
Hence, total number of employees who drank at least 1 bottle = [(100 - 22)/100] x 400 = 312
So, we can say,
A + B + C = 312 ... (1)
Further, we know that total 600 bottles were consumed in the party.
⇒ A + 2B + 3C = 600 ... (2)
From equations (1) and (2),
B + 2C = 288
In statement (5), it is clearly mentioned that the number of employees who drank all the three types of cold drink (C) was 80.
⇒ B = 288 - 2 x 80 = 128
So, we can find the value of A:
A = 312 - 128 - 80 = 104 (From equation 1)
Now, let us draw a Venn diagram:

A = a + b + c = 104 ... (5)
B = d + e + f = 128 ... (6)
From statement (1),
⇒ (d + 80) - (80 + e) = 5
⇒ d - e = 5 ... (7)
From statement (2),
⇒ (d) + (f) = 80 ... (8)
From equations (6) and (8),
⇒ e = 48
Hence, d = 5 + e = 53 [From equation (7)] and f = 80 - d = 27

From statement (3),
(27 + 80 + 48 + c)/(53 + 80 + 48 + b) = 37/43
⇒ (155 + c)/(181+ b) = 37/43
Here, we can clearly see that the above equation will hold true only when the numerator is a multiple of 37 and the denominator is a multiple of 43.
Since 155 + c > 4 x 37 (c is a non-zero integer);
For minimum value of c, 155 + c = 5 x 37
For minimum value of c, c = 30; 181 + b = 5 x 43 ⇒ b = 34
For next value of c, 155 + c = 6 x 37
⇒ c = 67; 181 + b = 6 x 43 ⇒ b = 77
c = 67 and b = 77 is not possible because from equation (5), a + b + c = 104.
Hence, c = 30, b = 34 and a = 104 - 30 - 34 = 40


Number of employees who drank exactly two bottles (X) = 53 + 48 + 27 = 128
Factors of 128 = 1, 21, 22, 23, …, 27
Sum of factors = 1 + 21 + 22 + 23 + ... + 27 = 28 – 1 = 255

CAT Mock Test - 17 (November 19) - Question 20

Directions: Study the following information and answer the question.

A Patna based consulting firm was celebrating the success, so they organised a party for employees. In the party, total 3 types of cold drink were served, namely, Nimca, Disprite and Mountain Dew. It is known that total 400 members were present there but 22% members didn't drink any of the three types of cold drink. Further, it is known that total 600 bottles were served in the party.

The additional information is given below:
(1) The number of employees who drank both Nimca and Disprite was 5 more than the number of employees who drank both Disprite and Mountain Dew.
(2) The sum of the number of employees who drank Nimca and Disprite only and who drank Nimca and Mountain Dew only was equal to the number of employees who drank all the three types of cold drink
(3) The ratio of the total number of bottles of Mountain Dew to the total number of bottles of Disprite served was 37 : 43.
(4) The cold drinks were served in bottles only and no employee drank more than one bottle of the same type of cold drink.
(5) The number of employees who drank all the three types of cold drink was 80.

Q. What was the number of employees who drank both Disprite and Mountain Dew but not Nimca?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 20

Let us assume that the number of employees who drank 1 bottle, 2 bottles and 3 bottles were A, B and C, respectively.
It is given that 22% employees didn't drink any drink.
Hence, total number of employees who drank at least 1 bottle = [(100 - 22)/100] x 400 = 312
So, we can say,
A + B + C = 312 ... (1)
Further, we know that total 600 bottles were consumed in the party.
⇒ A + 2B + 3C = 600 ... (2)
From equations (1) and (2),
B + 2C = 288
In statement (5), it is clearly mentioned that the number of employees who drank all the three types of cold drink (C) was 80.
⇒ B = 288 - 2 x 80 = 128
So, we can find the value of A:
A = 312 - 128 - 80 = 104 (From equation 1)
Now, let us draw a Venn diagram:

A = a + b + c = 104 ... (5)
B = d + e + f = 128 ... (6)
From statement (1),
⇒ (d + 80) - (80 + e) = 5
⇒ d - e = 5 ... (7)
From statement (2),
⇒ (d) + (f) = 80 ... (8)
From equations (6) and (8),
⇒ e = 48
Hence, d = 5 + e = 53 [From equation (7)] and f = 80 - d = 27

From statement (3),
(27 + 80 + 48 + c)/(53 + 80 + 48 + b) = 37/43
⇒ (155 + c)/(181+ b) = 37/43
Here, we can clearly see that the above equation will hold true only when the numerator is a multiple of 37 and the denominator is a multiple of 43.
Since 155 + c > 4 x 37 (c is a non-zero integer);
For minimum value of c, 155 + c = 5 x 37
For minimum value of c, c = 30; 181 + b = 5 x 43 ⇒ b = 34
For next value of c, 155 + c = 6 x 37
⇒ c = 67; 181 + b = 6 x 43 ⇒ b = 77
c = 67 and b = 77 is not possible because from equation (5), a + b + c = 104.
Hence, c = 30, b = 34 and a = 104 - 30 - 34 = 40


A total of 48 employees drank both Disprite and Mountain Dew but not Nimca.

CAT Mock Test - 17 (November 19) - Question 21

What is the angle between the lines represented by (x + y)2 - 3k(x + y) - 28k2 = 0?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 21
(x + y)2 - 3k(x + y) - 28k2 = 0

Assume (x + y) = a

So, we get

a2 - 3ka - 28k2 = 0

or (a + 4k)(a - 7k) = 0

Thus the equations of the two lines represented are as follows (x + y + 4k) and (x +y - 7k) respectively.

As both the lines have the same slope = -1, they are parallel in nature.

Hence, the angle formed between the pair of lines is 0 degrees.

CAT Mock Test - 17 (November 19) - Question 22

Find the volume of a sphere whose radius is √2 times the radius of another sphere which exactly fits in a cube of side 18.

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 22
Sphere fits exactly in the cube.

∴ Side of cube = diameter of sphere

∴ Radius of sphere = 9

∴ Radius of the sphere whose volume is required = 9√2

Volume = 4/3 x p x 2√2 x 729

= 8p x √2 x 243

= 1944 π√2

CAT Mock Test - 17 (November 19) - Question 23

If log 2 = m, log 3 = a and log 7 = n, then the value of log (10!) in terms of m, a and n is

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 23

log (10!) = log 10 + log 9 + log 8 + log 7 + ... + log 1
Then, log (10!) = 1 + 2a + 3m + n + a + m + 1 - m + 2m + a + m
⇒ log (10!) = 6m + 4a + n + 2

CAT Mock Test - 17 (November 19) - Question 24

Which of the following numbers can never be a perfect square in any base system?

Detailed Solution for CAT Mock Test - 17 (November 19) - Question 24
If a number can be expressed in the form Nk or Nk + 1, where N and k are positive integers, then that number can be a perfect square.

For example: Consider 75x, x is the base. 75x can be expressed in decimal form as

75x = 7x + 5, since it is not in the form Nk or Nk + 1, 75 cannot be a perfect square in any base system

Consider, 56x

56x = 5x + 6 = 5x + 5 + 1 = 5(x + 1) + 1. Now if we substitute the value of x as 15, 56x is equivalent to 81 in the decimal system, which is a perfect square. Hence, 56 is a perfect square number in base 15.

Similarly considering for the given numbers,

35x = 3x + 5 = 3(x + 1) + 2 can never be a perfect square as every perfect square is of the form 3k or 3k + 1.

37x = 3x + 7 = 3(x + 2) + 1 can be a perfect square, e.g. for x = 31, it is a perfect square.

45x = 4x + 5 = 4(x + 1) + 1 can be a perfect square, e.g. for x = 19, it is a perfect square.

Hence, option A is a correct answer.

CAT Mock Test - 17 (November 19) - Question 25

There are 24 points on a plane such that 10 of them are collinear. No 4 points are vertices of a cyclic quadrilateral. Find the maximum number of circles that can be drawn through any three points.


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 25
A circle can be drawn through any three points on a given plane, provided they are not collinear.

Now, there are 24 points, so the total number of ways three points can be chosen = 24C3

​However, if we choose any three of the given ten points that are collinear, we won't be able to form a circle.

Hence, those cases need to be excluded.

Total number of ways = 10C3

The total number of circles = 24C3 - 10C3

= 1904

CAT Mock Test - 17 (November 19) - Question 26

In a school of 600 students, 350 students are boys and the rest are girls. Ravi and Shweta were standing for the post of General Secretary. 60% of the boys voted for Ravi and the rest of the boys voted for Shweta. 60% of the girls voted for Shweta and the rest of the girls voted for Ravi. It was later found out that the voting machine was faulty and 50% of the boys who voted for Ravi had actually voted for Shweta and 60% of the boys who voted for Shweta had actually voted for Ravi. Also, 39% of the girls who voted for Ravi had actually voted for Shweta and 1/3rd of the girls who voted for Shweta had actually voted for Ravi. What is the absolute difference between the votes received by Ravi and Shweta?

(Assume that all the students voted)


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 26
The number of boys in the school = 350 and the number of girls in the school = 250

Initially, 60% of the boys = 210 boys voted for Ravi and 140 boys voted for Shweta.

Also, 40% of the girls = 100 girls voted for Ravi and 150 girls voted for Shweta.

50% of the boys who voted for Ravi had actually voted for Shweta I.e. 105 boys who voted for Ravi had actually voted for Shweta

Thus, the vote count right now Ravi = 105 boys and 100 girls

Shweta = 140+105 boys and 150 girls.

60% of the boys who voted for Shweta had actually voted for Ravi.

Thus, the vote count now becomes Ravi = 189 boys and 100 girls

Shweta = 161 boys and 150 girls.

39% of the girls who voted for Ravi had actually voted for Shweta

Thus, the vote count now becomes Ravi = 189 boys and 61 girls

Shweta = 161 boys and 150+39 girls.

1/3rd of the girls who voted for Shweta had actually voted for Ravi

Thus, the final vote count becomes = 189 boys and 111 girls = 300 votes

Shweta = 161 boys and 139 girls = 300 votes.

Thus, the difference between the votes received by Ravi and Shweta = 0

CAT Mock Test - 17 (November 19) - Question 27

How many distinct triangles have all three sides in integer units, none of which is a part of any Pythagorean Triplet?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 27
Observe that each odd integer > 2 is part of at least one Pythagorean triplet. (Suppose k is an odd number then k2 is also odd. Let k2= m2+(m+ 1)2. Then, clearly, k, m and m+ 1 form a Pythagorean triplet). Numbers 1 and 2 are not part of any of the triplets. What remains is all even numbers > 3. See that an even number is either a power of 2 or a multiple of an odd number. So all those even numbers, which are multiples of odds are also involved in some triplet. 4 is also a member of one triplet i.e., (3, 4, 5) so all of its multiples; and thus all powers of 2 (excluding 2 itself) are also involved

in some triplet. So from the set of Natural Numbers, only 1 and 2 are not members of any triplet. So we need to draw triangles, having sides from {1,2}. Note that only three distinct triangles can be drawn.

Triangles with:

(I) Sides 1, 1, 1 (II) Sides 2, 2, 2 (III) Sides 1, 2, 2

CAT Mock Test - 17 (November 19) - Question 28

The number of ways in which 16 sovereigns can be distributed among 3 applicants such that each applicant does not receive less than 3 sovereigns is:


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 28
Let x, y, z be the number of sovereigns received by the 3 applicants.

Then x ≥ 3, y ≥ 3, z ≥ 3 and x + y + z = 16.

Let u = x - 3, v = y - 3 and w = z - 3,then u ≥ 0, v ≥ 0, w ≥ 0

So, u + 3 + v + 3 + w + 3 = 16

Or, u + v + w = 7

The total number of the solutions of the given equation is 7+3-1C3-1 = 9C2 = 36.

CAT Mock Test - 17 (November 19) - Question 29

The faces of a cube of n cm is first painted red and then the cube is cut into smaller cubes of 1cm. If the difference between the number of cubes with 1 face painted and the number with 2 faces painted is 90, what is the number of cubes with no face painted?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 29
For n cm sized cube the number of cubes with 3 faces painted = 8

Number of cubes with 2 faces painted = 12x(n - 2)

Number of cubes with 1 face painted = 6(n - 2)2

Number of cubes with 0 face painted = (n - 2)3

Given 6(n - 2)2 - 12(n - 2) = 90

So (n - 2)(n - 4) = 15

Or n = 7

Therefore number of cubes with 0 face painted = (7 - 2)3 = 125

CAT Mock Test - 17 (November 19) - Question 30

What is the remainder when 52 + 53 + 54 + ..... +5n,where n = 257, is divided by 52?


Detailed Solution for CAT Mock Test - 17 (November 19) - Question 30
Take the first 4 terms 52 + 53 + 54+ 55 = 52(1 + 5 + 25 + 125) = 25 x 156.

Also 156 = 12 x 13 = 52 x 3

Hence the sum of the first 4 terms is divisible by 52. There are 256 terms in all, which can be arranged in a group of 4 terms and the sum of each group will be divisible by 52, hence the remainder is 0.

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