Bull Mock Cat 13

2013 Bull Mock CAT 13 To check your Result: Logon at www.hitbullseye.com & enter your Test Booklet No. or User Name & password.

Test Booklet No.

Please read the Instructions for the test carefully 1. 2. 3.

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GENERAL INSTRUCTIONS DO NOT OPEN THE SEAL OF THIS BOOKLET. WAIT FOR THE SIGNAL TO START. Use only a HB pencil to fill in the Test Booklet and the Answer sheet. Keep only the Admit Card, pencil, eraser and sharpener with you. DO NOT KEEP with you books, rulers, slide rules, drawing instruments, calculators, (including watch calculators), cellular phones, pagers, digital or any other devices or loose paper. These should be left outside the room. Ensure that your personal data has been correctly entered in the Answer sheet on both the sides. AT THE START OF THE TEST As soon as the signal to start is given, open the Booklet. This Test Booklet contains a total of 13 pages. You will get the first seven pages in the first section and the remaining pages in the second section. Immediately after opening the Test Booklet, verify that all the pages are printed properly and are in order. HOW TO ANSWER This test has 2 Sections with 60 questions, which examine various abilities. You will be given a total of 140 minutes (70 minutes for each of the two sections) to complete the test. You have to spend the given 70 minutes in the allocated section only. You cannot switch between the two sections within the given time limit of one section. Directions for answering the questions are given before each group of questions. Read these directions carefully and answer the questions by darkening the appropriate circles on the Answer Sheet. There is only one correct answer to each question. Each correct question carries 3 marks. Wrong answers carry proportionate, 1/3rd negative marking i.e. one mark will be deducted for every wrong answer. Do your rough work only on the Test Booklet and NOT on the Answer Sheet. Follow the instructions of the invigilator. Candidates found violating the instructions will be disqualified. AFTER THE TEST At the end of the test remain seated till the invigilator collects your Application Form-cum-Answer sheet from your seats. Do not leave the hall till the invigilator announces, “You may leave now.” The invigilator will make the announcement only after collecting the Application Form-cumAnswer sheets from every candidate in the room. You may retain the test booklet with you.

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Section I: Quant & DI DIRECTIONS for questions 1 to 10: Answer these questions independently of each other. 1.

A survey revealed that 800 people owned shares of company X, 1000 owned shares of company Y and 600 owned shares of company Z. It was found that 325 people owned shares of companies X and Z and 300 owned shares of companies Y and Z. 150 people owned shares of all three companies. If S represents the total number of people who own shares of any of these 3 companies, then what is the difference between the maximum and minimum value of S? 1. 700

2.

3. 17

4. Cannot be determined

2. P(X) < P(Y)

3. P(X) > P(Y)

4. P(X) = 1.5  P(Y)

2. a = 12, b = 3

3. a = 2, b = 32

4. a = 4, b = 16

2. 13

3. 11

4. 9

2. 313

3. 145

4. 185

3. 2

4. 3

What is the ten’s digit of 129131? 1. 0

9.

2. 43

Which of the following cannot be the number of points with integer co-ordinates lying inside ABCD with vertices A(0, x), B(x, 0), C(0, –x) and D(–x, 0)? 1. 41

8.

4. 150 kmph

What is the remainder when 22 + 23 + 24 + ---- + 2100 is divided by 17? 1. 8

7.

3. 135 kmph

If α, β are the roots of the equation x2 – 3x + a = 0 and γ, δ are the roots of x2 – 12x + b = 0 and the numbers α, β, γ and δ (in that order) form an increasing G.P., what are the values of a and b? 1. a = 3, b = 12

6.

2. 60 kmph

A bag contains 2 red, 3 green, 4 blue and 5 white balls. Two balls are drawn at random from the bag without replacement. X is defined as the event that at least one of the two balls drawn is white and Y is defined as the event that none of the two balls drawn is white. Then, 1. P(X) = P(Y)

5.

4. 350

A square has two of its vertices at (–1, –1) and (4, 2). What is the area of the square? 1. 34

4.

3. 825

Train A, travelling at 60 km/hr, leaves Mumbai for Delhi at 6 P.M. Train B, travelling at 90 km/hr, also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C, if the distance between Delhi and Mumbai is 1260 km? 1. 120 kmph

3.

2. 475

2. 1

If x and y are natural numbers such that x < 100 and y < 100, what is the number of solutions to 3x – 2y = 5? 1. 33

2. 20

3. 23

4. 49

2

10.

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If log 2, log (2x – 1) and log (2x + 3) are in A.P, then x is equal to 1. 5/2

2. log2 5

3. log3 2

4. 3/2

DIRECTIONS for questions 11 to 13: The following graph shows percentage of the population passed in the various education levels for a particular country. Answer the questions below based on this graph.

11.

Which country shows the best conversion rate from primary to secondary enrolment? 1. Russian Federation

12.

3. Philippines

4. Indonesia

Which country showed the worst drop-out rate from secondary to tertiary education? 1. Malaysia

13.

2. Malaysia

2. Philippines

3. Vietnam

4. India

India has a population of approx. 1.3 billion. The number of students currently enrolled in the tertiary segment is: 1. 1.157 billion

2. 715 million

3. 156 million

4. Cannot be determined

DIRECTIONS for questions 14 to 17: Answer these questions independently of each other. 14.

The figure below shows three circles tangent to each other. If the diameter of the large un-shaded circle is 300% of the diameter of the small un-shaded circle, what portion of the sum of the areas of the three circles is shaded?

1.

3 13

2.

4 21

3.

9 16

4.

3 8

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15.

What is the value of the infinite series S =

1. 16.

13 16

4 5

3.

25 32

4.

39 50

What values of x will satisfy the inequality x2 – 18x – 646 > 2? 1. x < -24 , x > 27

17.

2.

2 6 12 20 30      ... ? 5 25 125 625 3125

2. x < -18 , x > 36

3. -15 < x < 24

4. -36 < x < 18

A projectile is fired upwards from an initial height of 10 m at time t = 0. Its height after t seconds is defined by the function h(t) = p – 10(q – t)2, where, p and q are positive constants. If the projectile attains its maximum height of 100 m after 3 seconds, what is its height after 4 seconds? 1. 62 m

2. 90 m

3. 110 m

4. 123 m

DIRECTIONS for questions 18 to 20: The following is the data of the students enrolled for the following classes in a widely recognized university. Answer the questions given below based on this data.

Under graduate Graduate Doctorate 18.

Medical 342 436 0

Management 257 346 32

Commerce 213 132 0

2. 30%

3. 40%

4. 50%

In which department is the proportion of the graduate students the highest? 1. Engineering

20.

Science Engineering 432 543 345 436 42 25

What percentage of undergraduate students are members of the science or engineering departments? 1. 20%

19.

Fine arts 135 54 0

2. Science

3. Medical

4. Management

Which amongst the following is the most popular in terms of their peers? 1. Fine Arts at the graduate level 3. Engineering at the undergraduate level

2. Engineering at the doctorate level 4. Management at the graduate level

DIRECTIONS for questions 21 to 24: Answer these questions independently of each other. 21.

In 2001, twice as many boys as girls received graduate degrees. From 2001 to 2011, the number of girls receiving graduate degrees increased by 25%, while the number of boys receiving graduate degrees decreased by 25%. In 2011, the number of girls receiving graduate degrees formed what percent of the number of boys receiving graduate degrees? 1. 83.33%

22.

2. 54.54%

3. 120%

4. 45.45%

If k and n are positive integers such that k is odd and n  1, then 1k + 2k + 3k + --- + n k is divisible by 1. n(n + 1)

2. n(n + 1)/2

3. n(n + 1)(2n + 1)/6

4. n(n + 1)(n + 2)/6

4

23.

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Ramlal was towing a rubber dinghy by motorboat from town A to town B, located x km upstream. At the half way mark, the tow line snapped and the dinghy started drifting downstream. Ramlal realised this when he reached town B. He immediately turned back and travelling at 125% of his former speed, caught up with the dinghy 10 km before town A. The motorboat’s speed in still water was what percent greater than the speed of the stream? 1. 800%

24.

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2. 500%

3. 900%

4. Cannot be determined

The figure below shows a six-pointed star formed by placing two equilateral triangles symmetrically one over the other. If the sides of the triangles are 21 cm each, what is the ratio of the numerical value of the area of the shaded region to the numerical value of the perimeter of the six-pointed star?

1. 3 : 2

2. 73 : 8

3. 1 : 43

4. 1 : 1

DIRECTIONS for questions 25 to 28: The following graph shows the expenditure on different forms of advertising as a percentage of total advertising budgets for four different cellular phone companies. 50% 40% 30% 20% 10% 0% BacaTel Newspapers

RotaTel Pamphlets & Hoardings

MaxTel

Tphone Exhibitions

TV Ads

Each question below is followed by two statements marked I and II. As your answer, mark 1, if the question can be answered with the help of any one statement alone, but not with the help of the other statement alone; mark 2, if the question can be answered with the help of either statement alone; mark 3, if the question can be answered with the help of both statements together; and, mark 4, if the question cannot be answered even with the help of both statements together. 25.

Which company has spent the maximum amount on Pamphlets & Hoardings? I. The total advertising budget of BacaTel is greater than the advertising budgets of TPhone and RotaTel. II. The amount of money spent on Exhibitions by TPhone is more than that spent by MaxTel.

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26.

What percent more did TPhone spend on Newspaper advertisements than MaxTel? I. TPhone spent 20% more on Exhibitions than MaxTel. II. The advertisement budgets of BacaTel, RotaTel, MaxTel and TPhone are in the ratio 12 : 15 : 8 : 16.

27.

Which company spent the maximum amount of money on TV advertisements? I. Of the four companies, RotaTel spent the maximum amount on Pamphlets & Hoardings. II. The expenditures of BacaTel, RotaTel, MaxTel and TPhone on Exhibitions are in the ratio 12 : 18 : 16 : 15.

28.

How much more did RotaTel spend on Newspaper advertisements and Exhibitions than BacaTel spent on TV advertisements and Pamphlets & Hoardings? I. RotaTel spent ` 450,000 on Newspaper advertisements and BacaTel spent ` 625,000 on TV advertisements. II. RotaTel spent 50% more on Newspaper advertisements and Exhibitions than it did on TV advertisements and Pamphlets & Hoardings.

DIRECTIONS for questions 29 and 30: Answer these questions independently of each other. 29.

What is the sum up to n terms of the series

n 2. 3  3 n 1  n3n  7  8 2 2

n 2 1. 3 n 1  3n  7 n 2 2

n 1 n 4. 3 n 32 .2  n3n  7 

n 3. 3 n31

2

30.

43 137 379 977 2419 5849 , , , , , , …..? 8 16 32 64 128 256

2

2

 ABC is a right angled triangle of area 20. If the legs of the right angle are x and y and the hypotenuse is 10, what is the value of (x + y)2? 1. 196

2. 180

3. 484

4. 169

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Section II: Verbal & Reasoning DIRECTIONS for question 31: Pick the best option which completes the sentence in the most meaningful manner. 31.

Unfortunately he had no time to fully ________ his idea, it was too ________ and could not accompany the final revision of the plan. 1. explain ……..dogmatic 3. develop ……. inchoate

2. strengthen ……… prolix 4. espouse …….revolutionary

DIRECTIONS for question 32: The question consists of five statements labelled A, B, C, D and E which when logically ordered forms a cogent passage. Choose the option that represents the most logical order. 32.

A. If words like black and white were involved, instead of the jargon words dead and living, he would see at once that language was being used in an improper way. B. In certain kinds of writing, particularly in art criticism and literary criticism, it is normal to come across long passages which are almost completely lacking in meaning. C. When one critic writes, "The outstanding feature of Mr. X's work is its living quality," while another writes, "The immediately striking thing about Mr. X's work is its peculiar deadness," the reader accepts this as a simple difference opinion. D. Many political words are similarly abused. The word Fascism has now no meaning except in so far as it signifies "something not desirable." E. Words like romantic, plastic, values, human, dead, sentimental, natural, vitality, as used in art criticism, are strictly meaningless, in the sense that they not only do not point to any discoverable object, but are hardly ever expected to do so by the reader. 1. BECAD

2. BDACE

3. EBACD

4. CABDE

DIRECTIONS for question 33: In the sentences given below one word has been used in different ways. Select the one in which the usage is incorrect. 33.

RAKE 1. 2. 3. 4.

Do not sit and rake over past events. Ajit raked the lawn. The seat back is raked for extra comfort. Stockbrokers rake in profits.

DIRECTIONS for question 34: Given below are sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are incorrect in terms of grammar and usage (including spelling, punctuation and logical consistency). Then, choose the most appropriate option. 34.

A. The war against wearing fur has become a major campaign in recent years. B. Some people have always felt that killing animals for fur is amoral.

C. Recently, however, activists have taken a more visible role in the struggle against fur. D. Organizations have fought to convince clothing designers not to work with fur, E. and its efforts have been surprisingly successful. 1. A, B and E

2. A and E

3. B and D

4. A, B and D

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DIRECTIONS to questions 35 to 37: Santosh is preparing the weekly schedule for Math and English at Bulls Eye. The sessions can be conducted in the mornings on Mondays, Tuesdays and Thursdays, and in the evenings on Wednesdays, Fridays and Saturdays. The office is closed on Sundays. Math sessions are conducted thrice a week, but no two Math sessions can be conducted on consecutive days. The English sessions are conducted twice a week, but not on consecutive days. 35.

If a Math session is scheduled for Monday and an English session is scheduled for Friday, then which of the following is not true? 1. A Math session is scheduled on Wednesday or Thursday 2. An English session is scheduled on Tuesday or Wednesday 3. A Math session is scheduled on Thursday and an English session is scheduled on Tuesday 4. A Math session is scheduled on Tuesday and an English session is scheduled on Wednesday

36.

If a Math session is scheduled on Wednesday, which of the following must be true? 1. An English session cannot be scheduled on Tuesday 2. An English session cannot be scheduled on Monday 3. A Math session is scheduled on Friday 4. A Math session is scheduled on Saturday

37.

If an English session is not scheduled on Friday, which of the following must be true? 1. A Math session is scheduled on Friday 2. An English session is scheduled on Thursday 3. An English session is scheduled on Wednesday 4. None of these

DIRECTIONS for questions 38 to 40: The passage given below is followed by a set of questions. Choose the most appropriate answer to each question. The seeds of the financial crisis of 2008 had been planted with measures such as: the deregulation of the banks in the late 1990s; the push to increase home ownership, which encouraged lax mortgage standards; historically low interest rates, which created a liquidity bubble; and the system of Wall Street compensation that rewarded short-term risk taking. To his credit, treasury secretary Paulson did speak openly about formalizing the government’s authority to “wind down” a failing investment bank. The sad reality is that Washington typically tends not to notice much until an actual crisis is at hand. Once the crisis was unavoidable, did the government’s response mitigate it or make it worse? If the government had done nothing, the result would have been a market cataclysm. On the other hand, federal officials contributed to market turmoil through a series of inconsistent decisions. They offered a safety net to Bear Sterns and backstopped Fannie Mae and Freddie Mac but allowed Lehman to fall into Chapter 11, only to rescue AIG soon after. There didn’t appear to be any rules, and when investors grew confused, they, not surprisingly, began to panic. It is by any account, a tragedy that Lehman was not saved – not because the firm deserved saving but because of the damage its failure ultimately wreaked on the market and the world economy. While hindsight suggests that the federal government should have taken some action to prop Lehman, it is also true that the federal government did lack an established system for winding down an investment bank that was threatened with failure. The government was forced to what MIT professor Simon Johnson has called “policy by deal.” But deals, unlike rules, have to be improvised – and the hastier ones tend by their very nature to be imperfect. It wasn’t the fate of the US operations of Lehman Brothers that caused the white-knuckled panic that quickly spread throughout the world. To its credit, the Fed wisely decided to permit Lehman’s broker-dealer to remain

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open after the parent company filed for bankruptcy, which allowed for a fairly orderly unwinding of trades in the US. Outside the country, however, there was pandemonium. Rules in the UK and Japan forced Lehman’s brokerage units there to shut down completely, freezing billions of dollars of assets. Many hedge funds were suddenly short of cash, forcing them to sell assets to meet margin calls. That pushed down asset prices, which only sparked more selling as the cycle fed on itself. Washington was totally unprepared for these secondary effects, as policy makers had seemingly neglected to consider the international impact of their actions – an oversight that offers a strong argument for more effective global coordination of financial regulations. Excerpted from ‘Too Big to Fail: Inside the Battle to save Wall Street’ by Andrew Ross Sorkin. 38.

According to the author, what should have been the main lesson that the US government should have learnt from the bankruptcy of Lehman Brothers? 1. The federal government should have a system in place for winding down an investment bank that was threatened with failure. 2. The federal government needs to think about the impact of its actions both on a national and on a global scale. 3. The federal government’s ostrich approach of ignoring the portents leads to disaster. 4. Decisions taken without necessary scrutiny leads to an aggravation of matters.

39.

What particular action is suggested as the cause of the downward spiral in global share prices in the Financial crisis of 2008? 1. The inconsistent decisions taken by the federal officials confused the people and caused the people to panic. 2. Many hedge funds were suddenly short of cash, forcing them to sell assets to meet margin calls. 3. Deregulation of the financial markets 4. Indiscriminate sanctions of home loans at very low rates of interest.

40.

What is the basis for the criticism of the treasury secretary doing a ‘policy by deal’? 1. With no buffer plan to tackle financial failure, the government took an action that was remedial and hence hasty. 2. The lack of rules led to investors not being sure of government reaction, which in turn led to mayhem in the share market. 3. Deals when carried out without an action plan are always doomed from their inception. 4. By eking out a deal only with Bear Sterns and Fannie Mae and Freddie Mac, the government was showing preferential bias.

DIRECTIONS for question 41: Pick the best option which completes the sentence in the most meaningful manner. 41.

It is the season to ________. It seems just about every reporter with a computer has rushed to provide a vision of the future with a laundry list of assorted __________ for the new year. 1. presage, protuberances 3. prognosticate, projections

2. adumbrate, forecasts 4. portent, premonitions

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DIRECTIONS for question 42: In the following paragraph, a part of the paragraph is left unfinished. Beneath the paragraph, four different ways of completing the paragraph are indicated. Choose the best alternative amongst the four. 42.

Sharing of source code was widespread in the early days of computing, when software was not perceived as having market value and most developers were academics. But companies soon discovered that selling proprietary software can be a very profitable business. To recreate a software commons, a group of politically motivated programmers came up with a special usage licence in the early 1980’s to ring fence “free software”, known as “copyleft”. The internet made it easy for far-flung groups of developers to collaborate – which led to an explosion of open-source activity. Today’s open source developers are not necessarily volunteers who love writing code, many work for firms that develop both open-source and proprietary programs and combine them in all kinds of business models. 1. The two software worlds are today much more ‘comingled’ than their respective champions would have it. 2. The authors of open source code are people who want to see the maximisation of the social value of their code. 3. Opensource today is emerging a substitute for proprietary software, changing the ecosystem as it grows. 4. Critics of opensource point out even though the upfront cost of opensource may be less, but the cost of learning and making opensource work with other software is very high.

DIRECTIONS for questions 43 to 45: Answer the questions on the basis of the information below. In the XENON city centre multiplex, there are 4 Halls in which the following movies are screened on a particular day. However, for certain shows the Hall number was not available. Movie

Dostana (Hindi) Ghajini (Hindi) Chasing Liberty (English) Blood Diamond (English) Basic Instinct II (English) Gladiator (English)

Show time

Hall No.

10.00a.m -12.00 noon 3.00-5.00 p.m. 5.15 -7.15 p.m. 6.00 – 8.30 p.m. 8.45 – 11.15 p.m. 12.15 – 2.45 p.m. 3.15 – 5.45 p.m. 5.45 – 8.45 p.m. 9.-00 p.m. – 12.00 midnight 3.30 – 5.30 p.m. 12.15 – 3.15 p.m. 7.30 – 10.30 p.m.

Capacity of these 4 Halls is given as follows: Hall No. 1 2 3 4

Capacity of Halls Tier I Tier II 200 250 150 250 100 150 50 75

The following additional information is also available:

2

3 2 3

1 2

Price of Ticket (`) Tier I Tier II 50 80 100 100 100 80 100 100 100 80 70 100

70 100 120 150 150 100 150 150 120 100 100 150

10

1. 2. 3. 4. 43.

Bull Mock CAT 13

Due to low turnout, 12.15-2.45 PM show ‘Chasing Liberty’ was shifted to another available hall (the ticket prices remained the same), in which the movie ran before full capacity audience. If the revenue earned from this movie on that day is ` 45,500/- then what was the collection in 3.15 PM-5.45 PM show of the same movie?(Collection is the actual revenue expressed as a percentage of maximum revenue.) 2. 70%

3. 80%

4. 50%

If all the shows run in front of a full capacity audience, then what is the revenue earned from the screening of Dostana on that day? 1. Rs. 1,16,000/-

45.

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The multiplex opens at 9:45 a.m. and closes at 12:00 midnight everyday. Due to ongoing maintenance work, Hall number 4 is not available that day. No Hindi movie can be screened in Hall number 1. There should be at least 15 Minutes time available for cleaning and arranging the hall before each show.

1. 95% 44.

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2. Rs. 1,07,000/-

3. Rs. 76,000/-

4. Rs. 80,000/-

Hall 4 was also made available on that day, but only from 2 p.m. to 7 p.m. and two different movies were screened in this hall (the times of the movies are scheduled between 2 p.m. and 7 p.m.). How many possible distinct pairs of movies could have been screened in Hall 4? 1. 6

2. 5

3. 2

4. 3

DIRECTIONS for questions 46 to 48: The passage given below is followed by a set of questions. Choose the most appropriate answer to each question. WHEN Otto von Bismarck introduced the first pension for workers over 70 in 1889, the life expectancy of a Prussian was 45. In 1908, when Lloyd George bullied through a payment of five shillings a week for poor men who had reached 70, Britons, especially poor ones, were lucky to survive much past 50. By 1935, when America set up its Social Security system, the official pension age was 65—three years beyond the lifespan of the typical American. State-sponsored retirement was designed to be a brief sunset to life, for a few hardy souls. Now retirement is for everyone, and often as long as whole lives once were. In some European countries the average retirement lasts more than a quarter of a century. In America the official pension age is 66, but the average American retires at 64 and can then expect to live for another 16 years. Although the idea that “we are all getting older” is a truism, few governments, employers or individuals have yet come to terms with where longer retirement is heading. Whether we like it or not, we are going back to the pre-Bismarckian world, where work had no formal stopping point. That reversion will not happen overnight, but preparations should start now—to ensure that when the inevitable happens it is a change for the better. It should be for the better because it is being partly driven by a wonderful thing: people are living ever longer. This imminent greying of society is compounded by two other demographic shifts. First, in most rich countries women no longer have enough babies to keep up the numbers; and the huge baby-boom generation, born after the second world war, has begun to retire. In 1950 the OECD countries had seven people aged 2064 for every one of 65 and over. Now it is four to one—and on course to be two to one by 2050. That will ruin the pay-as-you-go state pension schemes that provide the bulk of retirement income in rich countries. It is tempting to think that some of the gaps in the rich countries’ labour forces could be filled by immigrants from poorer countries. They already account for much of what little population growth there is in the developed world. But once ageing gets properly under way, the shortfalls will become so large that the flow of immigrants would have to increase to many times what it is now.

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Individuals, companies and governments in rich countries will have to adapt. Many employers remain prejudiced against older workers, and not always without reason: performance in manual jobs does drop off in middle age, and older people are often slower on the uptake and less comfortable with new technology. But people past retirement age would not necessarily carry on in the same jobs as before. Retailers such as Wal-Mart or Britain’s B&Q, and caterers such as McDonald’s, have started hiring pensioners because their customers find them friendlier and more helpful. And skills shortages are already creating opportunities: in the past year or two a dearth of German engineers has caused companies to bring back older workers. Once labour forces start declining, from about 2020, employers will no longer have much choice. As for the older workers themselves, many of them seem keen enough to carry on beyond retirement. A recent Financial Times/Harris poll showed most Americans, Britons and Italians would work for longer in return for a larger pension. This surely makes sense: as long as the job is not too onerous, many people benefit in mind and body from having something to get them out of the house. Excerpted from ‘The Economist : Ageing in the rich world: The end of retirement’ 46.

All of the following would not induce some old people from seeking re-employment except 1. 2. 3. 4.

47.

All of the following can be inferred from the passage except 1. 2. 3. 4.

48.

Less number of hours and less pay Lower position New technology, more manual labour Larger pension at the end of the longer retirement rainbow

The ratio of the working population to the pensioners is slowly increasing. To augment the working population, influx of working-age foreign nationals to be increased Working women are responsible for the decreasing population Increase in life expectancy portends more money outflow for private pension firms

According to the passage all of the following are untrue, except 1. 2. 3. 4.

Baby boomers are happy to retire and would like to live peaceful lives Old people are happy with the shorter hours considerably less pay concept Compared to earlier times, pensioners can enjoy their retirement life comfortably. Increasing the pensionable age will benefit the private pension firms only.

DIRECTIONS for question 49: In the following paragraph, a part of the paragraph is left unfinished. Beneath the paragraph, four different ways of completing the paragraph are indicated. Choose the best alternative amongst the four. 49.

It’s tempting to believe that the mighty R&D department of a Fortune 500 company is unbeatable, yet most innovations come from somewhere else. It took only 12 people to build the hardware and software for the original Apple Macintosh. Big organizations have a problem. 1. The problem is quite simple: headquarters. But can you run a big organization without one? 2. As organizations grow bigger, they become more authoritarian. Otherwise the organization would tend to atrophy. 3. New products from Apple, in contrast take thousands of people to develop. 4. The problem lies in hand-shakes. A group of two people need only one meeting to exchange information. Fifty people, on the other hand, need 1,225 one-on-one meetings to have a similar exchange.

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DIRECTIONS for question 50: The question consists of four sentences labelled 1, 2, 3 and 4 of which, three sentences when rearranged logically form a coherent sequence. Identify the sentence that is a misfit and choose that option as your answer. 50.

1. Some years ago, the planning group at Shell surveyed 30 companies that had been in business for more than 75 years. 2. What impressed us most was their ability to live in harmony with the business environment, to switch from a survival mode when times were turbulent to a self-development mode when the pace of change was slow. 3. And this pattern rang a familiar bell because Shell’s history is similarly replete with switches from expansion to self-preservation and back again to growth. 4. Early in our history, for example, there was a burst of prosperity in the Far East and we dominated the market for kerosene in tins and oil for the lamps of China.

DIRECTIONS for questions 51 – 54: Five persons, Raghunandan, Gitesh, Nupur, Aditi and Shishir have gathered to play a game called Slaves and Masters. Four players play in each round, with one person sitting out. Each round is played by two competing teams, called Slaves and Masters, of two players each. No round ends in a tie. The other rules of the game are:    

Nupur and Shishir are siblings and cannot be on the same team. No two players can play on the same team in consecutive rounds. After each round, one person from the losing team must sit out the next round. After a round, the person who has sat out that round and a person from the winning team in that round join to form the team known as Slaves for the next round.  After a round, one person from the losing team in that round and one person from the winning team in that round join to form the team known as Masters for the next round.

51.

The first round is won by Raghunandan and Shishir. If Nupur sat out the first round, which of the following must be a team in the second round? 1. Raghunandan and Nupur 3. Gitesh and Aditi

52.

In the first round, Gitesh and Nupur formed the winning team while Raghunandan sat out the round. Which of the following could be a team in the second round? 1. Raghunandan and Shishir 3. Gitesh and Shishir

53.

2. Gitesh and Nupur 4. Aditi and Shishir

If Raghunandan and Aditi form the winning team in the first round, who of the following cannot be a member of Slaves in the second round? 1. Raghunandan

54.

2. Gitesh and Nupur 4. Aditi and Shishir

2. Gitesh

3. Nupur

4. Aditi

If Aditi sits out the first round, who of the following cannot form a team in the first round? 1. Raghunandan and Gitesh 3. Gitesh and Nupur

2. Raghunandan and Shishir 4. Gitesh and Shishir

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Bull Mock CAT 13 13

DIRECTIONS for question 55: In the sentences given below one word has been used in different ways. Select the one in which the usage is incorrect. 55.

BOOT 1. 2. 3. 4.

The menu will appear once the PC boot up is finished. The company showed him the boot. He then realized that the boot was on the other foot. We received an extra week's pay to boot.

DIRECTIONS for questions 56 to 59: The passage given below is followed by a set of questions. Choose the most appropriate answer to each question. The search for some kind of position-independent understanding of the world is central to the ethical illumination that may be sought in a non-relational approach. When Mary Wollstonecraft pilloried Edmund Burke for his support of the American Revolution without taking any interest in the status of the slaves, as if the freedom that he supported for white American people need not apply to its black slaves, Wollstonecraft was arguing for a universalist perspective that would overcome positional prejudice and sectional favouritism. The point there is not positional comprehension, but some kind of a transpositional understanding. Even when a position-independent view is appropriate for an epistemological, ethical or political assessment, the reality of position dependence of observations may have to be taken into account in explaining the difficulty of achieving a positionally unbiased comprehension. The hold of positional perspectives can have an important role in making it hard for people to transcend their positionally limited visions. For example, in a society that has a long-established tradition of relegating women to a subordinate position, the cultural norm of focusing on some alleged features of women’s supposed inferiority may be so strong that it may require considerable independence of mind to interpret those features differently. If there are, for instance, very few women scientists in a society that does not encourage women to study science, the observed feature of paucity of successful women scientists may itself serve as a barrier to understanding that women may be really just as good at science, and that even with the same native talents and aptitudes to pursue the subject, women may rarely excel in science precisely because of a lack of opportunity or encouragement to undertake the appropriate education. The observation that there are few women scientists in a particular society may not be at all mistaken, even when the conclusion that women are no good at science – when drawn from that positional observation – would be entirely erroneous. Observations from other societies where women have more opportunities could confirm that women have the ability to do just as well as men in the pursuit of science, given the necessary opportunities and facilities. When the confines of local beliefs are strong and difficult to overcome, there can be a steadfast refusal to see that a real inequity is involved in the way women are treated in their own society, and many women are themselves led to a belief about women’s alleged intellectual inferiority based on the supposed ‘evidence of the eyes’, drawing on a faulty reading of local observations within a stratified society. In explaining the protest-free tolerance of social asymmetry and discrimination that can be seen in many traditionalist societies, the idea of positional objectivity has something of a scientific contribution to make, in giving us an insight into the genesis of an illegitimate application of positional comprehension (when the need is for a transpositional understanding). The important notion of ‘objective illusion’, used in Marxian philosophy, can also be helpfully interpreted in terms of positional objectivity. An objective illusion, thus interpreted, is a positionally objective belief that is, in fact, mistaken in terms of transpositional scrutiny. The concept of an objective illusion invokes both the idea of positionally objective belief, and the transpositional diagnosis that this belief is, in fact, mistaken. Excerpted from ‘The idea of justice’ -------- By Amartya Sen

14

56.

Bull Mock CAT 13

To demonstrate the lack of importance of positional prejudice on independent thinking To point out the correctness in understanding position with a reference point. To exemplify the predicament faced by people to go beyond the positional constraints To refute the claim that in reality a position- dependent view is not possible.

Which of the following is a suitable title for the passage? 1. 2. 3. 4.

59.

Viewpoint irrespective of class, gender, race, community, or generation Position that is in a different order or place Omnipotent belief and attitude All encompassing scrutiny

Why has the illustration of women scientists been used in the passage? 1. 2. 3. 4.

58.

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Which of the following could not take the place of the words “Universalist Perspective”? 1. 2. 3. 4.

57.

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Illumination of objectivity Position, relevance and illusion Positionality of observation and knowledge Objective illusions and positional objectivity

All of the following inferences are untrue according to the passage, except? 1. Positional objectivity fails to help in the enlightening of misinterpretation of the positional comprehension 2. Positional prejudice helps women to progress in the scientific world 3. Some people may perceive a thing worse than it is while some may perceive it better than it is. 4. Incorrect understanding can lead to faulty interpretations and faulty beliefs.

DIRECTIONS for question 60: Given below are sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are incorrect in terms of grammar and usage (including spelling, punctuation and logical consistency). Then, choose the most appropriate option. 60.

A. We are already receiving large number of calls from the media, B. and we want to ensure that our statements complement our print strategy. C. As a HIV-AIDS advocacy organization, we must discretely manage information D. and the effects of any publicity. E. If you receive inquiries you cannot handle, just foreword them to Britta or me. 1. A, B and E only

2. D only

3. A, C and E

4. B and C only



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Bull Mock CAT 13 ANSWER KEY 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30.

2 1 4 3 3 3 4 3 1 2 3 3 4 1 3 2 2 4 3 3 1 2 1 2 4 2 1 1 4 2

31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60.

3 1 1 1 4 2 4 2 2 2 3 1 2 2 2 4 3 3 4 4 1 3 2 1 3 3 3 4 4 3

1

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Explanation

2

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Bull Mock CAT 13 EXPLANATIONS 1.

From the given information, we can draw the Venn diagram as follows:

800 X 475 – x

x

Y 1000 700 – x

5.

150 150

175 125

Z 600

2.

3.

So the total number of share holders is 600 + 700 – x + x + 475 – x = 1775 – x The minimum and maximum values of x are 0 and 475 respectively. So the maximum and minimum number of share holders is 1775 and 1300 respectively. The required difference is 475. All three trains meet at the same time between Delhi and Mumbai. This means Train A and Train B are at the same point at that time. This will happen when B is overtaking Train A. Train A starts 3 hours before Train B. Therefore, by the time Train B leaves Mumbai, Train A has covered 3  60 = 180 km. The relative speed between Train A and Train B = 90 – 60 = 30 kmph. Therefore, Train B will overtake train A in 180/30 = 6 hours from the time B leaves Mumbai. That is at 3 A.M, B will overtake A. The point between Mumbai and Delhi at which Train B overtakes Train A will be 6  90=540 km from Mumbai. Train C will also be at that point at 3 A.M while Train B is overtaking Train A. And Train C would have travelled 1260 - 540 = 720 km in these 6 hours. Therefore, the speed of C = 720/6 = 120 km/hr. Suppose the two vertices are A( –1, –1) and C(4, 2). l(AC) =

4.

C2





2  1

We know that 2, 22, 23 and 24 when divided by 17 will leave remainders of 2, 4, 8 and 16 respectively. A remainder of 16 can be rewritten as –1. The remainders will follow this cycle after every four terms. Now, 299 = (24)24  23. The corresponding remainder will be (–1)24  8 = 8. Similarly, 4 and –1 when divided by 17 will leave remainders 4 and –1 respectively. So the remainder is 4(8 – 1) = 28. Now, 28 when divided by 17 will leave remainder 11. Thus the effective remainder is 11. 7.

8.

14  13

The probability of drawing 1 white and 1 red or 1 green or 1 blue is 5 C12 C1 5C13 C1 5C14 C1 = 2(10  15  20) .  14  14 14 14  13 C2 C2 C2



99 The sum of this series is 4 2  1 = 4(299 – 1).

(4  (1)) 2  (2  (1)) 2

= 25  9 = 34. If AC is the side of the square, its area is 34. However, if AC is the diagonal of the square, its area is ½  (34)2 = 17. The best answer is option 4. The total number of ways of drawing two balls out of 14 is 14C2. For event X, we need 2 white balls or 1 white ball and 1 ball of a different colour. The probability of drawing 2 white balls is 5 5 4 . C2 14

6.

So, P(X) = 20  90 = 110 . 14  13 182 For event Y, we need to choose any 2 ball other than white. This can be done in 9C2 ways. 9 So, P(Y) = C2  9  8 = 72 . 14 C2 14  13 182 Thus, P(X) > P(Y). Since α, β, γ, δ form an increasing G.P. Let β = αr, γ = αr2 , δ = α r3 , r > 1. Now, α + β = 3  α (1 + r) = 3.......(1) γ + δ = 12  α r2 (1 + r) = 12...........(2) From (1) and (2) r = 2 and α = 1. Now, a = α β = α2 r = 2. and b = γ δ = α2 r5 = 32. Hence option 3. The given series has 99 terms and is a GP with first term 4 and common ratio 2.

9.

Referring to the above diagram, for x = 1, 2, 3, ...., the number of points enclosed by ABCD is 1, 5, 13, 25, .... We can observe that if x = n, then the number of points enclosed by ABCD is 1 + 2n(n – 1). In option 1, 41 = 1 + 2  5  4. In option 2, 313 = 1 + 2  13  12. In option 3, 145 = 1 + 2  9  8. In option 4, 185 = 1 + 2  92. Since 92 cannot be written in the form n(n – 1), the number of points enclosed by ABCD cannot be 185. 129131 = (130 – 1)131 = 130131 – 131C1(130130  –1) + … + (–1)131. The second last term will be 130 and the last term will be –1. Since all the remaining terms will have 0’s at the end, the answer comes from the last 2 terms, i.e., 130 – 1 = 129. Since the value ends in 29, the ten’s digit is 2. Since 3x – 2y = 5, we get (x, y)  (3, 2), (5, 5), (7, 8), …Observe that the values of x increase by 2 and the values of y increase by 3. Since x and y are both less than 100, the number of values of y will be less than the number of values of x.

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10.

11.

12.

13.

14.

15.

The values of y form an AP with a = 2 and d = 3. So, Tn = 2 + 3(n – 1)  99  (n – 1)  32  n = 33. Thus, there are 33 possible solutions. Since the numbers are in AP, 2  log (2x – 1) = log 2 + log (2x +3)  log (2x – 1)2 = log [2  (2x + 3)]  (2x – 1)2 = 2 (2x + 3)  22x – 2  2x + 1 = 2  2x + 6  22x – 2x + 1 + 1 = 2x + 1 + 6  22x – 2  2x + 1 – 5 = 0  22x – 4  2x – 5 = 0  (2x)2 – 4  2x – 5 = 0  (2x – 5)(2x + 1) = 0. As 2x cannot be negative, 2x = 5 or x = log25. This is direct comparison. In Russia, out of 100, about 82 move to secondary education. In Philippines out of 90, 81 move to higher education. So Philippines has a better conversion rate. For Malaysia, about 30 out of 68 go on to tertiary education, which means it has a drop-out rate of 38/68 or 56%. For Philippines, the ratio is about 30 of 81, hence the drop-out rate is 51/81 = 63%. For Vietnam, it is 10 out of 65, hence the drop-out rate is 55/65 = 84.6% and for India the ratio is 12 out of 55, hence drop-out rate is 43/55 = 78.2%. Hence option 3. The table gives the number of people who have studied in the corresponding classes. It gives no data on the number currently enrolled in the classes. Hence option 4. The ratio of the diameters is the same as the ratio of radii. Suppose the radii of the large and small unshaded circles are 3 and 1 respectively. The radius of the largest circle will be 4 and its area will be 16. The sum of the un-shaded areas is 9 +  = 10. So, the shaded region is 16 – 10 = 6. Since the sum of the areas of the 3 circles is 16 + 9 +  = 26, the required fraction is 6  3 . 26 13

 S = 25 . 32

16.

17.

18.

19.

20.

21.

22.

S = 2  6  12  20  30  ...

5

25

125

625

3125

Now, S  2  6  12  20  ........ 5

25

125

625

3125

23.

 S  S  4 S  2  4  6  8  10  ... 5 5 5 25 125 625 3125 S 4 2 4 6 8 Now,      ... 25 25 125 625 3125

So,

4 S 4 S 16 S 2 2 2 2 2         ... 5 25 25 5 25 125 625 3125 This is a GP with a = 2/5 and r = 1/5. The sum of this GP is

2 5

2 1. 5    1 4 2 1    5 5

Thus, 16 S  1 25 2

3

24.

x2 – 18x – 646 > 2. So, x2 - 18x – 648 > 0  x2 – 36x + 18x – 648 > 0  x(x - 36) + 18(x - 36) > 0  (x - 36)(x + 18) > 0  x > 36 or x < -18. At t = 0, h(0) = 10 = p – 10q2  p = 10 + 10q2. At t = 3, h(3) = 100 = p – 10(q – 3)2  p = 100 + 10(q – 3)2. Equating the values of p, we get 60q = 180  q = 3. From this, we get p = 100. So, the height after 4 seconds is h(4) = 100 – 10(3 – 4)2 = 90 m. Total undergraduate students are 1922, and 975 of them are in science or engineering, which is approx 50%. 345/819 = 42% of the Science students are graduate students. Similarly, 436/1004 = 43% of the Engineering students are graduate students. In the Medical department, 436/778 = 56% are graduate students, while in the Management department, 346/635 =54% are graduate students. There are 1922 students at the undergraduate level, 1749 at the graduate level and 99 at the doctorate level. So for 1st option, it is 54/1749 = 3%, for 2nd option, 25/99 = 25.3%, for 3rd option, 543/1922 = 28.25% and for 4th option, 346/1749 = 19.78%. Suppose, in 2001, the number of boys was 200 and the number of girls was 100. In 2011, the number of boys decreased to 150 while the number of girls increased to 125. The required percentage is 125/150 = 83.33%. Solve this question by substitution. 13 + 23 + 33 = 36. Here n = 3. From the answer choices, 36 is divisible by option 1, 2, 3. Consider 13 + 23 = 9. Here n = 2. Substituting n = 2 in options 1, 2 and 3, it is easy to verify that only option 2 will divide 9. Since the distance between towns A and B is not known, it seems that the answer is Cannot be determined. However, it is not so! The upstream speed is (x – y) and the downstream speed is (x + y). From the question, (x + y) = 1.25(x – y)  4(x + y) = 5(x – y)  x/y = 9/1. Thus, the speed in still water is 8 times more, i.e., 800% more than the speed of the stream. The un-shaded region is made up of 6 equilateral triangles of side 7 each. So, the perimeter of the star is 6  14 = 84. The shaded region is made up of 6 equilateral triangles of side 7 each. So, the area of the shaded region is 6  (3/4)7×7 = 1473/2.

4

25.

26.

27.

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Explanation So, the ratio is 1473/2 : 84 = 73 : 8. Suppose the advertising budgets of the four companies are B, R, M and T respectively. The expenditure on Pamphlets & Hoardings by the four companies is 0.2B, 0.15R, 0.2 M and 0.3 T. From statement I, we know that B > R and B > T. So, 0.2B > 0.15R and 0.2B > 0.2M. Since there is no information about the advertising budget for MaxTel, statement I alone is not sufficient to answer the question. From statement II, we know that 0.2T > 0.25M. This information tells us that T > M, but does not help to compare the expenditure on Pamphlets & Hoardings. So statement II alone is not sufficient to answer the question. If we combine both statements, we get B > R and B > T > M. We need to compare 0.2B with 0.3T. If B = 100 and T = 80, then 0.2B < 0.3T and if B = 100 and T = 60, then 0.2B > 0.3 T. Since we do not know the values of B and T, even the two statements together are not sufficient to answer the question. Suppose the advertisement budgets of TPhone and MaxTel are T and M respectively. From statement I, we know that 0.2T = 1.2  0.25M  0.2T = 0.3M  T = 1.5M. TPhone’s expenditure on Newspaper advertisements is 0.15T = 0.15  1.5M = 0.225M while that of MaxTel is 0.2M. We can now find the percentage difference between these expenditures. So statement I alone is sufficient to answer the question. From statement II, we know that the advertisement budgets for Max Tel and Tphone are 8x and 16x respectively. So, their expenditures on Newspaper advertisements are 0.15  16x = 2.4x and 0.2  8x = 1.6x. We can now calculate the percentage difference between these expenditures. So statement II alone is sufficient to answer the question. Thus, either statement alone is sufficient to answer the question. From statement I, we know that 0.15R > 0.2B  R > 1.33B, 0.15R > 0.2M  R > 1.33M and 0.15R > 0.3T  R > 2T. The amounts spent on TV ads by the four companies are 0.45B, 0.25R, 0.35M and 0.35T respectively. Though we know that R is greater than B, M and T, unless we know the exact values, we cannot decide which company has spent the most on TV ads. So, statement I alone is not sufficient to answer the question. From statement II, we know that the expenditures on Exhibitions by the four companies can be written as 0.2B = 12x, 0.3R = 18x, 0.25M = 16x and 0.2T = 15x. From this, we get B = 60x, R = 60x, M = 64x and T = 75x. The expenditures on TV advertisements by the four companies are 0.45B, 0.25R, 0.35M and 0.35T and can

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28.

29.

30.

31.

32.

33. 34.

35.

now be compared easily. So statement II alone is sufficient to answer the question. RotaTel spent a total of 0.6R on Newspaper advertisements and Exhibitions while BacaTel spent a total of 0.65B on TV advertisements and Pamphlets & Hoardings. From statement I, we know that 0.3R = 450000 and 0.45B = 625000. Using this, we can find values for 0.6R and 0.65B and compare them. So, statement I alone is sufficient to answer the question. Statement II does not provide any information that is not already available from the graph. So statement II alone is not sufficient to answer the question. The given series can be rewritten as 3  5 , 9  8 , 8 16 27 81 243 729  11,  14 ,  17 ,  20 , ….. 32 64 128 256 It is clear that the series is a combination of a GP with 1st term 3/8 and common ratio 3/2 and an AP with 1st term 5 and common difference 3. n n  3  3   3    1   1 = The sum of the GP is 8  2  3  2   1 8 3    1 2 2  n n n 1 n = 3  3  2 = 3  3.2 . 4 2n 2n  2 The sum of the AP is n 2  5  n  1  3 2 = n 3n  7 . 2 n 1 n Thus the sum of the series is 3  3.2  n3n  7 . n2 2 2 (x + y)2 = x2 + y2 + 2xy. Since  ABC is right-angled, x2 + y2 = 102 = 100. Area  ABC = ½  xy = 20  xy = 40  2xy = 80. Thus, (x + y)2 = 100 + 80 = 180. Option 3. Prolix - extended to great, unnecessary, or tedious length; long and wordy. Inchoate - not yet completed or fully developed; rudimentary. Option 1. The paragraph talks about writing in particular art criticism and literary criticism and the complete lack of meaning to the passages found therein. Hence B will be the first statement. The living and deadness in C is referred to once again in A. Improper way used in A is further clarified in D by giving an example of a political word. Fascism. Option 1. It should be rake up which means bring something back to people's attention. Option 1. In A, became should be become; In B, immoral instead of amoral; In E their efforts and not its efforts and their refers to the organisations which are many – plural. Suppose X denotes the day when there is no session scheduled. If a Math session is scheduled on Monday and an

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36.

37.

38.

39.

40.

41.

42.

43.

English session is scheduled on Friday, then the possible weekly schedule is: MEXMEM, MXEMEM or MEMXEM. We can observe that a Math and an English session cannot be scheduled on Tuesday and Wednesday respectively. Hence option 4. If a Math session is scheduled on Wednesday, one of the other Math sessions must be scheduled on Monday and the other on Friday or Saturday. Thus, an English session cannot be scheduled on Monday. Hence option 2. If an English session is not scheduled on Friday, then the weekly schedule could be MEMEMX, MEMXME, MXMEME, MEMEXM or EMEMXM. From this we can observe that options 1, 2 and 3 need not be true. The best answer is option 4. Option 2. The impact of the bankruptcy was far reaching and way beyond the borders of America. There was a fairly orderly winding of trades in the US but elsewhere the pandemonium drove the stock market into a vicious circle. Option 2. Though people panicked this was not the cause of the downward spiral. When pandemonium broke out outside the country, as assets were freezed, hedge funds had to sell assets to meet the margin calls and that pushed down asset prices and that further fuelled the cycle. Option 2. By doing a policy by deal the government looked are remedial measures and as the investors has no link to what was going on, there was chaos and panic in the share market. Option 3. Premonitions means a feeling of anticipation of or anxiety over a future event; or a forewarning. There is no hint in the sentence which shows that what the reporters provide are warnings. Protuberances, which means protrusion or swelling cannot fit in the second blank. Adumbrate means give a faint indication of. This does not fit very well as the reporters are making a laundry list which means a long list of subjects or things. Hence option 3 is the best answer. Prognosticate means to forecast or predict (something future) from present indications or signs; prophesy. Option 1. The last sentence saying that the developers of open source are not always volunteers who love to write codes but also those who work for firms. Hence option 2 is incorrect. Opensource is not being substituted by proprietary software but is combined with proprietary programs in all kinds of business models. Hence option 3 is incorrect. There is a mention of opensource and proprietary being combined with there is no indication in the passage to suggest that the cost of learning and making opensource work with other software is very high. There is already a show scheduled at 12.15 PM at Hall 1(Gladiator), So Chasing Liberty cannot be screened at the same time in Hall 1. So it must have shifted to Hall 3, which had no scheduled movie at the same time slot. Hall 3 has a capacity of 100 and 150 in Tier I and II. So Revenue earned from this show = 100 × 80 + 150 × 100 = Rs. 23000/-. So (45500 – 23000)= Rs. 22500/- must have been earned through the other show (3.15-5.45 PM) of Chasing Liberty. This show was screened in Hall 3.

44.

45.

46.

47.

48.

49.

50.

51.

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If the show ran before capacity audience in Hall 3,the revenue earned would have been = 100 × 100 + 150 × 150 = Rs. 32500. But the revenue earned in this show is only Rs. 22500. 22500 So, Collection = × 100 = 70%. 32500 First of all, we have to ascertain in which hall, the 2nd and 3rd shows of Dostana are being screened Hall 3 is engaged during 3.15-5.15 PM (Chasing Liberty) and 6.30-8.30PM (Gajini). So both the 3.00-5.00 PM and 5.15-7.15 PM shows of Dostana can only be screened at Hall 2, Since no Hindi movie can be screened at Hall 1, in the same time slots Basic Instinct II and Blood Diamond should be screened at Hall 1 only. Therefore, Revenue earned by Dostana on that day = [150 × (50 + 80 + 100)+ 250 × ( 70 + 100 + 120)] = Rs. 1,07,000. Hall 4 was available only for 5 hours. Since there should be at least a 15 min break between two movies, the maximum run-time available is 4 hours and 45 min. We need to choose two movies from Dostana (2 hrs), Ghajini (2.5 hrs), Chasing Liberty (2.5 hrs) and Basic Instinct II (2 hrs). We can now actually make pairs or use combinations. Since we need to choose 2 out of 4 movies, the total number of pairs is 4C2 = 6. However, one of these combinations is Ghajini and Chasing Liberty, which is a total time of 5 hrs. Thus the total number of pairs is 5. Option 4. Some people like the Americans, Britons and Italians would work longer if there were chances of getting a larger pension. Option 3. The passage states that in rich countries women do not have enough babies to keep up the numbers but it is not stated whether the reason is because they have started working. Option 3. In the earlier times either the pensionable age was way beyond the life expectancy or pension would be available but only a few years earlier than the life expectancy. Now pension is available for a considerable time after retirement. Option 4. The passage talks about innovations and the fact that they come from companies which are usually not Fortune 500 companies. Moreover it talks about only 12 people building the original Macintosh and then goes on the say that big organisations have a problem which means it would be about people and not the company. Hence we can rule out option 1. What sort of leadership should exist in an organisation is not talked about nor is there a hint that this is what would be talked of. Hence option 2 is incorrect. It talks about Apple before so after that it wouldn’t again talk of Apple, the paragraph needs to now talk about other organisations. Hence option 3 is ruled out. Option 4. The first three are related to Shell. The word our in option 4 has no antecedent. The other three form a coherent paragraph. Since N sat out the 1st round and (R, S) won the round, the losing team must be (G, A). In the 2nd round, one team must be (N, R) as N and S cannot be on the same team. The other team could be (A, S) or (G, S). Since R sat out the 1st round and (G, N) won the round, the losing team was (A, S).

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Explanation In the 2nd round, if 1 team is (R, N), the other team is (S, G) or (A, G), depending on whether A or S sits out the round. If, instead, 1 team is (R, G), the other team will be (A, N) as S and N cannot be on the same team. Thus, (G, S) cannot be a team in the 2nd round. Since (R, A) won the 1st round, the losing team was (G, N) or (G, S). If S sat out the 1st round, Slaves is (S, R) or (S, A) and if N sat out the 1st round, Slaves is (N, R) or (N, A). Thus, G cannot be a member of Slaves in the 2nd round. If A sits out the 1st round, the players in the 1st round are N, R, S and G. Since N and S cannot be on the same team, the 2 teams are (N, R) and (S, G) or (N, G) and (S, R). So, (R, G) cannot be a team in the 1st round. Option 3. If you say that the boot is on the other foot, you mean that a situation is now the opposite of what it was before, often because a person who was in a weak position is now in a strong position In the past, we had great influence over their economy, but the boot is on the other foot now. To boot means in addition; besides. To boot up means to start (a computer) by loading and initializing the operating system. The company showed him the door and not the boot. Option 3. From the passage we can infer that Mary Wollencraft ridicules Edmund Burke because he supports the American Revolution but does so from the white man’s perspective. Burke is not concerned with the slaves according to Wollencraft, who states that we need to move away from positional prejudice or preconception and sectional favouritism towards transpositional understanding. Hence option 1,2 and 4 can take the place of Universalist Perspective. Omnipotent is all powerful and there is no mention of a powerful belief or attitude. It’s more like a superior belief or attitude. Option 3. Refer to “ the observed feature of paucity ......women.”The passage states that observations of a stratified society are based on the “evidence of the eyes”, which is position dependent view. Hence option 1 is incorrect. At the beginning of the second paragraph it is stated that even when position-independent view is appropriate, in reality position dependence will have to be taken into consideration. Hence option 4 is ruled out. The passage states that “the observation ............entirely erroneous.” Hence option 2 is incorrect. Option 4. The passage is on objectivity related to position and illusions. It is not only objectivity and not only position or illusion. There are all taken together. Option 4. Refer to “women are themselves led to a belief about women’s alleged intellectual inferiority based on the supposed ‘evidence of the eyes’, drawing on a faulty reading of local observations within a stratified society.” Option 3. In A, a large number of calls; In C, an HIV – AIDS and discreetly not discretely; and in E, forward. A foreword is a (usually short)

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piece of writing sometimes placed at the beginning of a book or other piece of literature.