Bull Mock Cat 14

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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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1

Section I: Quant & DI DIRECTIONS for questions 1 to 12: Answer these questions independently of each other. 1.

How many six-letter words can be formed from the letters of the word HINDUSTAN so that the words contain exactly 2 vowels and 4 consonants? 1. 23,760

2.

4.

3. 162

3. 11

4. 1

12

9

15

5

A speaks the truth 75% of the time he is asked something, while B speaks the truth 80% of the time when he is asked something. What are the chances of them contradicting each other when asked the same set of questions? 2. 20%

3. 17%

2. 1195

3. 1199

4. 1205

The interest on a certain sum for 2 years is Rs. 1700 and for 3 years is Rs. 2712.50. If interest is compounded annually, what is the rate of interest? 2. 12.5 % p.a.

3. 15 % p.a.

4. 17.5 % p.a.

A man gives a 40% commission and still earns a 12% profit on the sale of an article. Had the man offered the agent a commission of 25%, what would be the profit earned? 2. 28%

3. 53% 1

For positive values of x, f  x   x 4  1. is maximum at x = 2 3. decreases for x  16

9.

4. 45%

The pages of a book are numbered sequentially 1, 2, 3, …, n. If 3689 digits are used in numbering all the pages, what is the number of pages in the book?

1. 40% 8.

4. 8

2. 7

1. 7.5 % p.a. 7.

2. 8 3 3

1. 5

1. 1190 6.

4. 60,480

Consider positive numbers x, y, z, a, b and c. If x2 + y2 + z2 = 49, ax + by + cz = 63 and a2 + b2 + c2 = 83, what is the value of x  y  z ? abc

1. 35% 5.

3. 17,280

In parallelogram ABCD, AB < AD and  BAD = 60. The bisector of  BAD intersects the side BC at point E. If AB = 4, what is the area of  ABE? 1. 43

3.

2. 32,400

2  x 2 x

4. 15%

 3  x 3 x . Then, the value of f(x) _____

2. is maximum at x = 3 4. is always increasing

A number when divided by 5 leaves a remainder of 3. What is the remainder when the same number raised to 100 is divided by 5? 1. 3

2. 1

3. 4

4. 2

2

10.

Bull Mock CAT 14

2. – 1

3. 1

4. 2

A newspaper vendor delivers three newspapers, A, B and C to a neighbourhood of 100 families. He delivers copies of newspapers A, B and C to 54, 45 and 44 families respectively. The number of families who receive copies of only newspapers A, B and C are 17, 16 and 11 respectively. If 15 families receive copies of all three newspapers, how many families do not receive copies of the newspapers? 1. 14 families

12.

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If p & q both are integers and p > q, what is the smallest value of q for which p3 – 5p2 + 8p – 4 > 0? 1. – 2

11.

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2. 10 families

3. 12 families

4. 15 families

A square of side 1 foot is rotated about one of its diagonal. What is the volume, in cubic feet, of the solid formed? 1.

1 3 2



2.

1 6 2



3.  2

4.

2  3

DIRECTIONS for questions 13 to 16: A publishing house based in Delhi publishes a weekly magazine. The magazine offers discounts to customers based on different subscription schemes as shown below. Period No. of Issues Discount 1 year 52 17% 3 years 156 25% 5 years 260 35% The news stand price of the magazine is Rs. 25. A year is made up of 52 weeks. Subscriptions can be paid for by cash, D.D. or cheque. Subscriptions are rounded off to the nearest Rs. 50. The publishing house charges Rs. 50 as D.D. collection charges and Rs. 100 for out station cheques. The issues are delivered by ordinary postal mail at no extra cost. If a customer wishes the issues be delivered by courier, the publishing house collects a one time courier charge equivalent to 10% of the news stand value of the subscription. 13.

Mr. Rajat lives in Kolkata. His bank charges Rs. 45 as D.D. making charges for values below Rs. 5000. If Mr. Rajat pays the subscription charges by D.D. and requests that the issues be delivered by ordinary postal mail, what is the effective discount that he gets for a 1 year subscription to the magazine? 1. 9.69%

14.

3. 8.07%

4. 15.84%

Nikhil and Savita stay in Mumbai. Nikhil's bank charges Rs. 100 for a D.D, if the value is up to Rs. 5000 and 5% if the value is above Rs. 5000. Nikhil pays for a 3-year subscription by D.D. and requests that the issues be delivered by ordinary postal mail. Savita pays for a 3-year subscription by a cheque drawn on a bank in Delhi and requests that the issues be delivered by courier. What is the absolute difference between the effective discounts that Nikhil and Savita get? 1. 3.72%

15.

2. 11.53%

2. 6.16%

3. 8.72%

4. 9.18%

Pankaj stays in Delhi and has a 5-year subscription to the magazine. He paid in cash and asked that the issues be delivered by courier. Jasleen stays in Ahmedabad and has a 5-year subscription to the magazine. She paid by D.D., for which her bank charged 5% of the value as D.D. making charges. Jasleen asked that the issues be delivered by ordinary postal mail. What is the difference between the effective discounts earned? 1. Rs. 675

2. Rs. 275

3. Rs. 435

4. Rs. 385

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16.

3

Navneet stays in Bangalore and is contemplating two different options for a 5-year subscription to the magazine. Under option A, he plans to have two 1-year subscriptions followed by a 3-year subscription. Under option B, he plans to take up a 5-year subscription. He plans on paying by DD as his bank does not charge for making a D.D. He wants the issues delivered by courier. Which option should Navneet choose and how much would he save, in `, as compared to the other option? 1. Option B, Rs. 1000

2. Option A, Rs. 950 3 Option B, Rs. 200

4. Option A, Rs. 1090

DIRECTIONS for questions 17 to 20: Answer these questions independently of each other. 17.

If 81

sin

2

x

 81 cos

1. 12 18.

2

x

 x , what is the value of x? 2. 15

3. 30

In the figure below, AB and AC are tangents to the circle with centre O. If AE = 5, what is the perimeter of  AXY? B

E

X A

O C 1. 12 19.

F

Y

2. 8

3. 10

4. 14

Semicircles are drawn on the outside of each side of a right angled triangle. If the area of the triangle is , what is the ratio of the sum of the areas of the semicircles to the area of the triangle? 1. 2.5

20.

4. 60

2. 2

3. 3

4. 4

Consider (1034 – 1014), (1014 – 994) and (1024 – 1004). Which of these is the largest? 1. (1034 – 1014)

2. (1014 – 994)

3. (1024 – 1004)

4. Cannot be determined

DIRECTIONS for questions 21 to 23: The following table provides financial details of 4 companies, A, B, C and D from the same industry. Profitability is defined as profit expressed as a percentage of sales.

Sales Profit 21.

Company A Estimated Actual 24586 20898 7345 8079

Company C Estimated Actual 3946 5524 576 716

Company D Estimated Actual 15782 18148 4913 6632

If profitability is calculated on the basis of estimated values, which company has the highest profitability? 1. Company A

22.

Company B Estimated Actual 17416 18286 5439 4895

2. Company B

3. Company C

4. Company D

The actual sales of company A were 10% higher than reported while the actual profits of company C were 10% higher than reported. If profitability is calculated on the basis of actual values, what is the difference between the profitability for companies A and C? 1. 25.69%

2. 15.28%

3. 20.88%

4. 16.91%

4

23.

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Which company has the highest absolute difference between the profitability calculated on the basis of estimated as well as actual values? 1. Company A

2. Company B

3. Company C

4. Company D

DIRECTIONS for questions 24 and 25: Answer these questions independently of each other. 24.

In  ABC, ABC 

BAC . If AB = c, BC = a and AC = b, which of the following is true? 2

1. a is the geometric mean between b and (a + c) 2. a is the geometric mean between c and (a + b) 3. a is the geometric mean between b and (b + c) 4. a is the geometric mean between c and (b + c) 25.

A man can row 30 km upstream and 60 km downstream in a total of 11 hours. The man can also row 48 km upstream and 50 km downstream in a total of 13 hours. At what speed can the man row in still water? 1. 8 kmph

2. 6 kmph

3. 10 kmph

4. 2 kmph

DIRECTIONS for questions 26 to 28: The following band diagrams provide information about the revenue and profits of a workshop from two activities - Denting and Painting. Profitability is defined as profits expressed as a percentage of revenue. Revenue

12000

Denting

Painting

10000

6000

2000

2000 0

0 2006

2007

2008

2009

2010

2006

2007

2008

2009

2010

Which of the following years has shown the highest profitability under the Painting activity? 1. 2006

2. 2008

3. 2009

4. 2010

Operating expenses are calculated as the difference between revenue and profit. Which of the following years had the highest operating expenses as a percentage of revenue under the Denting activity? 1. 2006

28.

Painting

4000

4000

27.

Denting

6000

8000

26.

Profit

8000

2. 2007

3. 2009

4. 2010

Referring to the previous question, which of the following years had the highest operating expenses from both activities, Painting and Denting, as a percentage of total revenue from both activities? 1. 2006

2. 2007

3. 2008

4. 2010

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5

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

In ABCD,  ABC =  ADC = 90. Let AB = a, BC = b, CD = c and DA = d. If diagonals AC and BD are e and f respectively, then, 1. ab + cd < ef

30.

2. ab + cd  ef

3. ab + cd  ef

4. ab + cd  ef

The selling price of an article is Rs. 10. The articles are bought for Rs. 5 each for the first 100 articles and for Rs. 4 each thereafter. Which of the following represents the unit margin on the sale of all articles?

1.

2.

3.

4.

6

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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.

Cyril Connolly used a poor filing system as a _____for our imperfect memory when he said, “Our memories are card indexed, consulted and then returned in ____ by authorities whom we do not control.” 1. simile, meticulous

2. metaphor, disorder

3. epigram, chaotic

4. basis, coherent

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

A. Because most human activity takes place in social situations – in the presence of other people – we must fit what we as individuals do with what other people in the same situation are doing. B. We go about our lives assuming that most people share our basic definitions of basic social situations. C. This agreement on definitions and meanings is the key to human relations in general, according to symbolic interactionists. D. For example, a staff nurse in a mental hospital unlocking a door for an inpatient is doing more than just enabling the patient to pass from one ward to another. E. He or she also is communicating a position of social dominance over the patient (within the hospital) and is carrying a symbol of that dominance – the key. 1. ABCDE

2. BACDE

3. ADEBC

4. BCDEA

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.

FACTOR 1. If two or more terms contain the letter you are solving for, factor the letter out. 2. They had forgotten to factor the height of the truck against the low clearance of the old underpass on the campus. 3. Poverty is only one of the factors in crime. 4. Although military, economic and political strength certainly favours the more powerful side, the matter of simple justice is a counterbalancing factor.

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. More than 100 militants armed with rockets and automatic weapons B. attack two security checkpoints C. in north-western Pakistan on Monday, D. sparing intense fighting that E. left at least 41 insurgents and two soldiers dead. 1. A and E only

2. B only

3. B and D only

4. A, B and D

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DIRECTIONS for questions 35 and 36: 5 friends - Prachi, Rupali, Sayali, Tanu and Roopam - are college students and share an apartment. Each one of them must take responsibility for one chore - sweeping, dusting, mopping, laundry and shopping - on any one day from Monday to Friday.  Laundry must be done on Fridays so that the clothes would dry over the weekend.  Dusting must happen before sweeping and sweeping must happen before mopping.  Sayali is fond of shopping and agrees to shoulder the responsibility, but not on Mondays or Wednesdays as she has extra classes on these days.  Roopam completes her chore on the day immediately after sweeping, but before the day that Rupali completes her chore.  Tanu is free only on Tuesdays and agrees to take care of sweeping. 35.

Which of the following is true? 1. Roopam completes her chore on Thursday 2. Rupali agrees to take care of mopping 3. Sayali completes her chore on Tuesday 4. Prachi agrees to take care of dusting

36.

Which of the following name – chore – day matches is true? 1. Rupali – Dusting – Monday 3. Roopam – Mopping – Wednesday

2. Prachi – Dusting – Thursday 4. Sayali – Shopping – Tuesday

DIRECTIONS for questions 37 to 39: The passage given below is followed by a set of questions. Choose the most appropriate answer to each question. The impact of ten years of gradualist economic reforms in India on the policy environment presents a mixed picture. The industrial and trade policy reforms have gone far, though they need to be supplemented by labor market reforms which are a critical missing link. The logic of liberalization also needs to be extended to agriculture, where numerous restrictions remain in place. Reforms aimed at encouraging private investment in infrastructure have worked in some areas but not in others. The complexity of the problems in this area was underestimated, especially in the power sector. This has now been recognized and policies are being reshaped accordingly. Progress has been made in several areas of financial sector reforms, though some of the critical issues relating to government ownership of the banks remain to be addressed. However, the outcome in the fiscal area shows a worse situation at the end of ten years than at the start. Critics often blame the delays in implementation and failure to act in certain areas to the choice of gradualism as a strategy. However, gradualism implies a clear definition of the goal and a deliberate choice of extending the time taken to reach it, in order to ease the pain of transition. This is not what happened in all areas. The goals were often indicated only as a broad direction, with the precise end point and the pace of transition left unstated to minimize opposition—and possibly also to allow room to retreat if necessary. This reduced politically divisive controversy, and enabled a consensus of sorts to evolve, but it also meant that the consensus at each point represented a compromise, with many interested groups joining only because they believed that reforms would not go “too far”. The result was a process of change that was not so much gradualist as fitful and opportunistic. Progress was made as and when politically feasible, but since the end point was not always clearly indicated, many participants were unclear about how much change would have to be accepted, and this may have led to less adjustment than was otherwise feasible. The alternative would have been to have a more thorough debate with the objective of bringing about a clearer realization on the part of all concerned of the full extent of change needed, thereby permitting more purposeful implementation. However, it is difficult to say whether this approach would indeed have yielded better results, or whether it would have created gridlock in India’s highly pluralist democracy. Instead, India witnessed a halting process of change in which political parties which opposed particular reforms when in

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opposition actually pushed them forward when in office. The process can be aptly described as creating a strong consensus for weak reforms! Extract from an article by MS Ahluwalia in Journal of Economic Perspectives, Summer 2002 37.

What area does the author mention as being worse off post-liberalisation? 1. Fiscal area

38.

2. Banking

3. Agriculture

4. Industrial

What does the author imply by the phrase – ‘a strong consensus for weak reforms’? 1. Most parties agreed with the reforms because they believed that the change from status quo would be minimal and the timelines for doing this change were flexible. 2. People in power are never interested in the implementation of the reforms. 3. Weak reforms are thought to yield better results because expectations of the reforms doing well are pretty low. 4. All agree to disagree on how the reforms should be implemented.

39.

As used in the second paragraph what does the word ‘fitful’ mean? 1. That which fits in the given parameters 2. In jumps and starts, not continuous 3. Suited to the party and in power as well as to the one in opposition 4. Effective regardless of the fact that it took a long time to implement.

DIRECTIONS for question 40: Pick the best option which completes the sentence in the most meaningful manner. 40.

The defense acknowledged the ______________ witness, one who was called because of her expert opinion, but who could also __________ the case because she knew too much through doctor / patient privilege. 1. belligerent, engender 2. erudite, bolster

3. hostile, endanger

4. pernicious, threaten

DIRECTIONS for questions 41 to 43: A builder is planning to construct four single storied buildings - G, H, J and L - and three multi-storied buildings - X, Y and Z - over a period of 7 months. Each building takes exactly a month to be completed.  A multi-storied building must be constructed in the fourth month.  Building L must be constructed in the month immediately before the month in which building X is constructed.  Buildings Y and Z cannot be constructed in consecutive months.  Building G can only be constructed in either the fifth or the seventh month.  Building J is constructed before building H. 41.

If building H is constructed in the fifth month, which of the following must be true? 1. Building L is constructed in the third month 2. Building Y is constructed in the fourth month 3. Building J is constructed in the first month 4. Building G is constructed in the seventh month

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42.

9

If building X is constructed in the fourth month, which of the following is always true? 1. Building H is constructed in the sixth month if building G is constructed in the seventh month 2. Building J is constructed in the second month if building Y is constructed in the sixth month 3. Building H is constructed in the fifth month if building J is constructed in the first month 4. Building J is constructed in the first month if building Z is constructed in the second month

43.

If a multi-storied building cannot be constructed in the fifth or the seventh month, which of the following must be true? 1. Building H is constructed in the seventh month if building G is constructed in the fifth month 2. Building H is constructed in the fifth month if building G is constructed in the seventh month 3. Building L is constructed in the third month if building G is constructed in the fifth month 4. Building J is constructed in the first month if building G is constructed in the fifth month

DIRECTIONS for question 44: 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. 44.

Many things can compromise drivers’ attention, from kids to food to the radio. But mobile phones pose the biggest risk, for research shows that these gadgets distract in a more pernicious way. The human brain has to work harder to process language and communication with somebody who is not physically present. Such distractions make drivers more collision prone than having a blood alcohol level of 0.08%, the legal limit in America. It appears to raise the risk of an accident by 4 times. Texting multiplies that by several times again. Officially distraction accounted for 16% of traffic deaths in 2009 and for 20% of injuries. The age group at greatest risk is, unsurprisingly, teenagers though older drivers are not immune. 1. But statistics understate the truth, because few drivers after a crash admit to using mobiles and police rarely demand phone records. 2. A good solution is to make driving distracted, like drunk driving, “totally uncool, socially unacceptable”, especially among teenagers. 3. In a car-and-gadget culture, the best hope is gradually to raise compliance over time. 4. Hands free technology could come to the rescue here; using hands-free in contrast to handheld led to a lesser reduction in activity in the parietal lobe, where spatial tasks are processed.

DIRECTIONS for question 45: Answer the question on the basis of the information given below. 45.

Four suspects, A, B, C and D are being questioned for a crime that one of them has committed. It is known that a criminal always lies while the others would always tell the truth. A says: C did not commit the crime. B says: D committed the crime. C says: B did not commit the crime. D says: I did not commit the crime. Who committed the crime? 1. A

2. B

3. C

4. D

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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. There are built-in reasons why India’s economic growth has not – and will not – trickle down any time soon. Most of the growth is taking place in the IT-enabled services sector which requires the kind of cultural capital that is not readily available to the masses. Manufacturing makes up only 16 percent of India’s GDP, in contrast to 35 % for China. This sector is experiencing a relatively jobless growth due to growing automation and the recent economic downturn. India has also witnessed a massive land-grab by the private sector, aided and abetted by the state in the name of development – a process that has been dubbed – ‘developmental terrorism’. The poor suffer not only from direct dispossession but from neglect and cutbacks in public sector employment. The vast majority eke out a living in the unorganized, or informal, sector. Government’s own data shows that 86 percent of India’s labor force was in the unorganized sector, either self-employed or working for wages. The vast army of informal workers has no welfare floor below which they are not allowed to fall, and no exploitation ceiling beyond which they cannot be squeezed. Their relationship with the employers is not regulated by legal contracts but by traditions, enforced by religion and custom. In the informal economy, the adverse effects of neo-liberalism are felt in an inverse proportion to one’s standing in the socio-economic order; those who are lowest in the scale – the Dalits and the Muslims – are the most badly hit. Yet, influential voices are emerging that celebrate market reforms as liberating for Dalits. They call for democratizing capitalism by enabling Dalits to enter the market economy via an American-style affirmative action in the corporate sector. Proponents point to the rising levels of consumption and wages among the Dalits as a result of the tightening of labour markets in some parts of the country as evidence that capitalism is breaking the back of the caste system. There is only one problem with this vision: it is a fairy tale. In India, capitalism is not dissolving the existing caste relations but rather using them to maintain a vast army of workers. While there might be some local tightening of labour markets, the fact remains that “being a ‘Scheduled Caste’ makes a person twice as likely to be a casual labourer in agriculture, and poor. In many ways Muslims in India are faring much worse than even the Dalits. They are largely self-employed – only 13 percent of the entire Muslim population has salaried jobs. The recent Sachar committee report found that globalization has hit the Muslim worker harder than other communities. Many of the traditional occupations of Muslims in industries such as silk, weaving, leather and garment making have been hurt by cheaper imports from China. To sum up: the rising tide is not lifting all boats! Extract from ‘The God Market’ by Meera Nanda 46.

As used in the first paragraph, what does the term cultural capital mean? 1. Experts in scientific fields 2. Technical knowledge and language skills 3. Higher education 4. People from specific cultures and backgrounds

47.

Referring to the last line of the passage, what measures need to be adopted to lift the boat of the backward castes? 1. Levy extra taxes on imported goods and incentives to local produce 2. Fix a level beyond which the backward castes cannot be exploited 3. An option would be to reduce the cutbacks in the public sector 4. Make sure that the proportion of people in each sector represents their proportion in the country.

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48.

11

What data in the passage can be used to refute the argument that the Muslims are not faring well in India? 1. Muslims are largely self-employed – only 13 percent of the entire Muslim population has salaried jobs. 2. The adverse effects are felt in inverse proportion to one’s standing in the society. 3. The American Style of affirmative action is lifting the condition of those in the lower strata of society. 4. Data is inadequate to refute the argument.

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.

When Houdini made the decision to focus on escapes instead of magic tricks, it was considered professional suicide. There wasn’t a market for escape acts. There wasn’t a demand for it. It had never been done before. No one knew what it was worth and no one could tell him how long or how demanding his act should be. Who could have imagined that Houdini would succeed by spending more than an hour and a half doing just one trick, in a closed room, out of sight of the audience? Where is it written in the magician’s manual that the best way to become famous ___________ 1. is to fake not only the outcome but the event itself? 2. is to fake only the outcome not the event itself? 3. is to fake neither the outcome nor the event? 4. is to fake either the outcome or the event?

DIRECTIONS for question 50: The question consists of four statements labelled 1, 2, 3 and 4 of which one does not fit into the paragraph. Identify that sentence which is a misfit and choose that option as your answer. 50.

1. Medieval alchemists hunted in vain for the rejuvenating Philosopher’s Stone; industrial-age quacks got rich off their patent elixirs. 2. Most religions offer an attenuated version of immortality in which some fuzzily defined soul endures even after the body has died. 3. Many explanations have been offered and discarded to explain the power of dieting. 4. For as long as people have been growing old, they’ve been wishing they didn’t have to.

DIRECTIONS for questions 51 to 53: A team of three engineers from amongst M, N, P, R and S and three advertising professionals from amongst V, W, X, Y and Z is to be formed. If M is selected, X is also selected. If P is selected, then so are N and S. 51.

Which of the following could be a team of six members? 1. MNPVXY

52.

2. PNSWXY

3. MRSWXZ

4. NPRVWY

If Y is not selected, which of the following is true? 1. X is not selected

53.

If R is selected, Y is also selected.

2. M is not selected

3. R is not selected

4. P is not selected

3. V is selected

4. N is selected

If P is selected, which of the following is true? 1. M is selected

2. Y is selected

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DIRECTIONS for question 54: In the sentences given below one word has been used in different ways. Select the one in which the usage is incorrect. 54.

DIVERT 1. The traffic was diverted due to the demonstration. 2. We need more money for recruitment advertising - we'll have to divert some money from the training budget. 3. I was studying hard for the exam when my attention was suddenly diverted by two extra-terrestrials entering the room. 4. We can't do it because it diverts from company policy.

DIRECTIONS for questions 55 to 58: The passage given below is followed by a set of questions. Choose the most appropriate answer to each question. Until I was 35 years old I thought talking about the weather was for losers. A waste of time, insulting even. No one can do anything about the weather anyway. I believed that any comment that does not offer new insight or otherwise advance the cause of humanity is just so much hot air. I might make an exception for intimate friends, but I sure did not want that kind of intimacy with the man on the street, or the one in my office. Then something happened. Alone for the first time in a long time, living in challenging circumstances, experiencing a cold winter in New England, I noticed the weather. It affected me deeply and directly, every single day. Slowly it dawned on me that the weather affected everyone else, too. Maybe talking about it wasn’t totally vacuous after all. I started with the cashier at a gas station. I figured I’d never see her again, so it was pretty safe. She has no clue that I was a smart person with a lot of potential. Years of cynicism made me almost laugh as I said. “Sure got a lot of snow this year so far.” “Yep”, was her reply. Then she said, “I could barely get my car out of the lot, be careful driving.” Talking about the weather was easy, even effortless. An entrée to at least one person on the planet who apparently cared about me, at least enough to share her small challenge and want me safe on the road. Next time I tried it at work. It turned out to be even more effective with people I already knew. Talking about the weather acted as a little bridge, sometimes to further conversation and sometimes just to the mutual acknowledgment of shared experience. Whether it was rainy or snowy or sunny or damp for everyone, each had their own relationship with the weather. They might be achy, delighted, burdened, grumpy, relieved or simply cold or hot. Like anything of personal importance, most were grateful for the opportunity to talk about it. Then something else happened. As talking about the weather became more natural, I found myself talking about a whole lot more. I found out about people’s families, their frustrations at work, their plans and aspirations. Plus, I found out that the weather is not the same for everyone! And it’s only one of many factors dependent on location that you’ll never know about without engaging in casual conversation. For a businessperson, there may be no better way to make a connection, continue a thread, or open a deeper dialogue. Honoring the simple reality of another person’s experience is an instant link to the bigger world outside one’s self. It’s the seed of empathy, and it’s free. Excerpted from ‘The Big Moo’ edited by Seth Godin. 55.

As used in the third paragraph, the word entrée most likely stands for 1. An ice-breaker

2. An example

3. An accompaniment

4. A critical comment

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56.

13

What is the main theme of the passage? 1. Weather is the most important aspect of everyday conversation for all sections of society. 2. Talking about the weather leads to increased sales and increased commissions. 3. Casual conversation can often lead to profound insights. 4. Weather is a topic which can be talked about with the most vacuous of minds.

57.

In the fourth paragraph, what is meant by the phrase ‘each had their own relationship with the weather’? 1. Though everyone experiences the same things, their reactions are different. 2. Weather was a metaphor for the varied reactions that the author encountered 3. Though weather meant different things to different people, all handled the situation analogously. 4. The reaction to the weather decided the extent of involvement of the person in his surroundings

58.

Why does the author call a discussion about weather ‘a seed of empathy’? 1. When your feelings about the weather match that of the other person, a permanent rapport is built. 2. Showing sympathy generates a feeling of fellowship with the customer. 3. Letting others vent their feeling in the form of reactions to the weather, helps to calm down the person. 4. By getting the other person to talk, you are making an effort at understanding him.

DIRECTIONS for question 59: 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. 59.

A. B. C. D. E.

In those days, there was no real need for a calendar or a watch to keep track of the hours, days, months and years. We knew what to do, just as the Iraqi geese knew when to fly north, driven by the hot wind that blows in from the desert, and the ewes knew when to give birth to wet lambs that stand on long, shaky legs in the chilly March wind and baaed hesitantly, because their were small and cold.

1. B and E only

2. D and E only

3. A, D and E

4. B and C only

DIRECTIONS for question 60: 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. 60.

Archaeologists working at the mysterious Easter island in the Pacific were puzzled by the fact that what appeared to be ancient farmland was strewn with rocks. The presence of rocks seemed to belie the explanation that these were high-yielding farms feeding thousands of people. Yet planting rocks in a semi arid area can transform an arid plain into a productive farm. 1. After all, the people of Easter Island had had thousands of years to improve the quality of their farms – and plenty of reason to do so, as it appears that they starved to death. 2. Anyone who has spent time hauling rocks to clear a farm would know that the best farmland is free of rocks, stumps, and stones, making it easy to plow and harvest. 3. The rocks warm the soil by absorbing sunlight all day and releasing its heat at night. They collect dew and create pockets of moisture underneath. 4. The rocks prevent dusty topsoil from eroding as quickly, and they even add a bit of fertilizer to the soil. 

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Bull Mock CAT 14 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.

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

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.

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

1

2

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Bull Mock CAT 14

6.

EXPLANATIONS 1.

2.

There are 3 vowels and 6 consonants with 2 N’s among them. 2 vowels can be chosen in 3C2 = 3 ways. If the word has 4 distinct consonants, these 4 consonants can be chosen in 5C4 = 5 ways. If the consonants contain 2 N’s, the remaining 2 consonants can be chosen in 4C2 = 6 ways. Once the vowels and consonants have been chosen, we can arrange these 6 letters in 6! = 720 ways. So, there are 3  720  5 = 10800 words that contain 4 distinct consonants and 3  6  720/2! = 6480 words that contain 2 N’s. Thus, the total number of words is 10800 + 6480 = 17280. Consider the following diagram. Since BAD = 60, BAE = 30. Since AE is a transversal, BAE = BEA = 30. Drop a perpendicular BF on to AE. BFA  BFE and both are 30-60-90 triangles. E B C 30 4 F 30

A

3.

4.

5.

D

In BFA, since AB = 4, we get BF = 2 and AF = 23. Since AF = EF = 23, AE = 43. Thus the area of ABE = ½  2  43. Since x2 + y2 + z2 = 49, by trial and error, we can get x, y and z take values 2, 3 and 6 in some order. Similarly, since a2 + b2 + c2 = 83, by trial and error, we can get a, b and c take values 3, 5 and 7 in some order. Since ax + by + cz = 63, we get x = 2, y = 3, z = 6, a = 3, b = 5 and c = 7. Thus, x  y  z  11 . a  b  c 15 A and B will contradict each other when exactly one of them speaks the truth and the other one tells a lie. The probability that A speaks the truth and B lies is 3 1 3 , while the probability that A lies and B   4 5 20

speaks the truth is 1  4  4 . 4 5 20 So the probability that A and B contradict each other is 3 4 7 .   20 20 20 Thus the chances of A and B contradicting each other are 35%. 1 digit each is used to number pages 1 to 9; 2 digits each are used to number pages 10 to 99; 3 digits each are used to number pages 100 to 999. The number of digits used so far is (9  1) + (90  2) + (900  3) = 9 + 180 + 2700 = 2889. The remaining 3689 – 2889 = 800 digits are used to number pages from 1000 onwards; i.e., each of the page numbers will now require 4 digits. Since there are 800 digits left, another 800/4 = 200 pages can be numbered.

7.

8.

Thus the last page number would be 999 + 200 = 1199. After 2 years, the interest is 1700 2 . R  =     P  P 1    100   After 3 years, the interest is 2712.5 3 =  P1  R   P  .       100   Solving these equations, P = 6400 and R = 12.5% p.a. S.P.= M.P.(0.6) = C.P.(1.12). M.P. = C.P.(28/15) Acc. to given stat. S.P.= M.P.(3/4) = C.P. (28/15)(3/4) = C.P.(1.4). Hence the profit is 40%. f(1) = 1 + 8 = 3.828; 1

f(2) = f(3) =

24  9 1 4

3  8

= 4.189; = 4.144;

1 4

f(4) = 4  113 = 12.044. 1

9.

10.

11.

As x increases, the value of x 4 also increases. Similarly, the value under the square root sign will also increase as x increases. So we can safely conclude that the value of f(x) is always increasing. Suppose the number is x. We know that x  5 leaves remainder 3. Subsequent powers of x will leave remainders as powers of 3 divided by 5. So, x2  5 will leave remainder 32  remainder is 4. x3  5 will leave remainder 33  remainder is 2. x4  5 will leave remainder 34  remainder is 1. After x4, the subsequent powers of x will leave remainders 3, 4, 2, 1 and so on. In other words, the remainder will be repeated after every 4th power of x. Now, 100  4 leaves remainder 0  x100  5 will leave remainder 1. We can rewrite the given expression as p3 – 5p2 + 8p > 4. Assuming integral values of p and q, if q = –2, then the smallest value of p is –1; if q = –1, then the smallest value of p is 0; if q = 1, then the smallest value of p is 2 and if q = 2, then the smallest value of p is 3. When p = –1, the value of the expression is –14 < 4; when p = 0, the value of the expression is 0 < 4; when p = 2, the value of the expression is 4 = 4 and when p = 3, the value of the expression is 6 > 4. Thus the smallest value of q = 2. We can show the given information in the following Venn diagram. A 54 17

a b

15 11

16

B 45

c C 44

From the above diagram, a + b = 22, a + c = 14 and

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12.

b + c = 18. Solving these equations gives a = 9, b = 13 and c = 5. Now, the sum of all values in the diagram is 86. Thus, 100 – 86 = 14 families do not receive newspapers A, B or C. The solid formed will look like two congruent cones placed one on top of the other. Each of these cones will have height and radius equal to half the diagonal of the square. Since the diagonal of the square is 2, the heights and radii of the cones are each equal to 1/2. Thus the volume of the solid will be 2

13.

14.

15.

16.

1  1   1 = 1 . 2      3  2  2 3 2 The value of a 1-year subscription is 25  52 = `1300. He gets a discount of 17% and should pay 1300 – 0.17  1300 = 1300 – 221 = `1079. This will be rounded off to `1100. In addition, he pays D.D. collection charges of `50 and D.D. making charges of `45. So, he effectively pays 1100 + 50 + 45 = `1195 towards his subscription and gets an effective discount of 1300 – 1195 = `105. Thus he gets an effective discount of 105/1300  8%. The value of a 3-yr subscription is 25  156 = `3900. After a discount of 25%, the subscriber would have to pay 3900 – 0.25  3900 = `2925, which will be rounded off to `2950. Nikhil pays an additional `100 as D.D. making charges and `50 as D.D. collection charges. He pays a total of 2950 + 100 + 50 = `3100 towards a 3-year subscription. Since he saves 3900 – 3100 = `800, he gets an effective discount of 800/3900 = 20.51%. Savita has to pay 10% of subscription value, i.e., 10% of 3900 = `390 as courier charges. She pays a total of 2950 + 390 = `3340 towards a 3year subscription. Since she saves 3900 – 3340 = `560, she gets an effective discount of 560/3900 = 14.35%. The absolute difference between these discounts is 20.51 – 14.35 = 6.16%. The value of a 5-year subscription is 25  260 = `6500. After a discount of 35%, a subscriber would have to pay 6500 – 0.35  6500 = `4225, which would be rounded off to `4250. Pankaj has to pay 10% of subscription value, i.e., 10% of 6500 = `650 as courier charges. So he pays a total of 4250 + 650 = `4900 towards his subscription. He thus gets an effective discount of 6500 – 4900 = `1600. Jasleen has to pay an additional `50 as D.D. collection charges. So, she would have to make a D.D. for `4300. The D.D. making charges will be an additional 5% of 4300 = `215. So she pays a total of 4300 + 215 = `4515 towards her subscription. She thus gets an effective discount of 6500 – 4515 = `1985. The difference between these discounts is 1985 – 1600 = `385. A 1-year subscription would cost 1300 – 0.17  1300 = 1300 – 221 = 1079, which would be rounded off to `1100.

17.

3

In addition to this, there will be a courier charge of 10% of 1300 = `130 and D.D. collection charges of `50. So, a 1-year subscription would effectively cost 1100 + 130 + 50 = `1280. A 3-year subscription would cost 3900 – 0.25  3900 = 3900 – 975 = 2925, which would be rounded off to `2950. In addition to this, there will be a courier charge of 10% of 3900 = `390 and D.D. collection charges of `50. So, a 1-year subscription would effectively cost 2950 + 390 + 50 = `3390. Thus, option A would cost (2  1280) + 3390 = `5950. A 5-year subscription would cost 6500 – 0.35  6500 = 6500 – 2275 = 4225, which would be rounded off to `4250. In addition to this, there will be a courier charge of 10% of 6500 = `650 and D.D. collection charges of `50. So, the 5-year subscription in option B would cost 4250 + 650 + 50 = `4950. Navneet should choose option B so that he saves 5950 – 4950 = `1000. Substitute from the options. When x = 30, sin2 30 = 1 and cos2 30 = 3 . 4 4 1

3

So the given expression is 814  814 = 3 + 33 = 30. Thus, x = 30. 18.

B

E

Z

O C

19.

20.

X

F

A

Y

In the given diagram, EX = XZ, FY = YZ and AE = AF = 5 (tangents from the same point). AE = AX + XE = AX + XZ and AF = AY + YF = AY + YZ. The perimeter of  AXY = AX + XY + AY = AX + XZ + YZ + AY = AX + EX + FY + AY = AE + AY = 10. Suppose the sides of the triangle are 6, 8 and 10. The area of the triangle is ½  6  8 = 24. The radii of the semicircles will be 3, 4 and 5. So the sum of the areas of the semicircles will be ½  (32 + 42 + 52) = 25  75. Since   24, we have 75  3. The actual values can be computed for the comparison. (1034 – 1014) = 112550881 – 104060401 = 8490480; (1014 – 994) = 104060401 – 96059601 = 8000800; (1024 – 1004) = 108243216 – 100000000 = 8243216. So the largest value is (1034 – 1014). Alternate solution: (1034 – 1014) = (1032 + 1012)(103 + 101)(103 – 101) = (1032 + 1012)(204  2).(1014 – 994) = (1012 + 992)(101 + 99)(101 – 99) = (1012 + 992)(200  2). (1024 – 1004) = (1022 + 1002)(102 + 100)(102 – 100) = (1022 + 1002)(202  2). In each of the expressions, 2 is multiplied by the product of two other numbers. Option 1 will yield the highest value since the other

4

21.

22.

23.

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two numbers are the highest. Based on estimated values, Profitability of A is 7345  7350 = 29.87%; 24586 24600 Profitability of B is 5439  5450 = 31.32%; 17416 17400 Profitability of C is 576  575 = 14.74%; 3946 3900 Profitability of D is 4913  4900 = 31.01%. 15782 15800 The actual sales of A are 1.1  20898 = 22988. The profitability of A is 8079  8000 = 34.78%. 23000 22988 The actual profit of C is 1.1  716 = 788. The profitability of C is 788  800 = 14.54%. 5524 5500 The absolute difference between these values is 20.24%. Based on actual values, Profitability of A is 8079  8100 = 38.75%; 20900 20898 Profitability of B is 4895  4900 = 26.77%; 18286 18300

in 2009 were 4000 – 3000 = 1000 and in 2010 were 4500 – 3500 = 1000. The operating expenses as a percentage of revenue in 2006 were 900 = 36%. 2500 The operating expenses as a percentage of revenue in 2007 were 1000 = 33.33.

3000 The operating expenses as a percentage of revenue in 2009 were 1000 = 25%. 4000 The operating expenses as a percentage of revenue in 2010 were 1000 = 22.22%. 4500

Profitability of C is 716  725 = 13.18%;

5524

24.

25.

26.

5500

Profitability of D is 6632  6625 = 36.50%. 18148 18150 (The calculation of Estimated % profit is taken from solution of Q.21) Absolute difference between the estimated and actual profitability for company A is 38.75 – 29.87 = 8.88%; Absolute difference between the estimated and actual profitability for company B is 31.22 – 26.76 = 4.46%; Absolute difference between the estimated and actual profitability for company C is 14.74 – 13.18 = 1.63%; Absolute difference between the estimated and actual profitability for company D is 36.50 – 31.01 = 5.41%. Thus the absolute difference between the estimated and actual profitability is maximum for company A. Since ABC is any triangle in general, the option that is true must also be true for a 30-60-90 triangle. Suppose ABC is a 30-60-90 triangle with B = 30, A = 60 and C = 90. Then, AC = b = 1, BC = a = 3 and AB = c = 2. Substituting these values, we get a2 = b  (b + c), i.e., (3)2 = 1  (1 + 2). Hence option 3 is true 30 60 48 50   11 and   13 . x y x y x y x y Solving these gives x = 8 kmph and y = 2 kmph. For Painting, profitability in 2006 = 2000 = 66.66%.

28.

7000

29.

3000

27.

For Painting, profitability in 2008 = 3000 = 66.66%. 4500 For Painting, profitability in 2009 = 3500 = 70%. 5000 For Painting, profitability in 2010 = 4000 = 66.66%. 6000 Under Denting, the operating expenses in 2006 were 2500 – 1600 = 900, in 2007 were 3000 – 2000 = 1000,

Alternate solution: The operating expenses as a percentage of revenue would be the highest when the profitability for the same year is the lowest. So, instead of calculating for operating expenses, we can compare profitability and choose the year in which it was the lowest. Under denting, profitability in 2006 = 1600 = 64%, in 2500 2000 = 66.66%, 2007 was 3000 in 2009 was 3000 = 75%, and 4000 3500 in 2010 was = 77.77%. 4500 Since profitability is lowest in 2006, the operating expenses must be the highest in 2006. The revenues from both activities in 2006, 2007, 2008 and 2010 were 5500, 7000, 8100 and 10500 respectively. Profits from both activities in 2006, 2007, 2008 and 2010 were 3600, 4400, 5400 and 7500 respectively. The profitability in 2006 was 3600 = 65.45%. 5500 The profitability in 2007 was 4400 = 62.85%.

30.

The profitability in 2008 was 5400 = 66.66%. 8100 The profitability in 2010 was 7500 = 71.42%. 10500 Since profitability is lowest in 2007, the operating expenses must be the highest in 2007. ABC and ADC are at the end points of diagonal BD. So, ABCD is either a square or a rectangle. Suppose ABCD is a rectangle with a = c = 3, b = d = 4 and e = f = 5. Now, ab + cd = 12 + 12 = 24 and ef = 25. So, ab + cd < ef. Suppose ABCD is a square with a = b = c = d = 2 and e = f = 22. Now, ab + cd = 4 + 4 = 8 and ef = (22)2 = 8. So, ab + cd = ef. Thus, ab + cd  ef. For the first 100 articles, the margin is constant at `5 each. So the graph will be a line parallel to the X-axis, passing through y = 5. Beyond this, the margin is constant at `6 each. So the graph will jump up to y = 6 and continue

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31.

32.

33. 34.

3536.

35. 36. 37.

38.

parallel to the X-axis. Hence option 1. Option 2. A figure of speech in which an implicit comparison is made between two unlike things that actually have something in common is a metaphor. Here just like the poor filing system has things in a haphazard manner, the imperfect memory too though having a card system, when consulted for information which is then returned lands up in a disorderly manner. Meticulous cannot fit the second blank as we are comparing the memory with a poor filing cabinet. A simile - or to be like something - is to retain some irresolvable difference which means one can never fully substitute for the other. On the other hand, a metaphor actually is a substitution - it is an equation in principle. Option 1.The paragraph talks about human activity and social situations. Here C will follow B as sharing definitions is continued with this agreement on definitions. Option 2. It should read - factor in the height of …… Option 3. As we are talking on Monday – the time is the past. Hence attacked instead of attack. The word is sparking (anything that activates or stimulates; inspiration or catalyst) and not sparing ( economical, scanty) From the 1st clue, we know that laundry will happen on Friday. From the 2nd clue, since dusting has to happen before sweeping and mopping, dusting cannot happen on Wednesday or Thursday. Also, since sweeping must happen before mopping, sweeping cannot happen on Thursday. Similarly, mopping cannot happen on Monday or Tuesday. So, dusting can happen on Monday or Tuesday, sweeping can happen on Tuesday or Wednesday and mopping can happen on Wednesday or Thursday. From the 5th clue, Tanu does sweeping on Tuesday. Combining this with the 2nd clue, we know that dusting happens on Monday. From the 3rd clue, Sayali will do shopping on Tuesday or Thursday. Since sweeping is done on Tuesday, Sayali must do shopping on Thursday. Therefore, mopping must be done on Wednesday. From the 4th clue, Roopam does her chore on Wednesday and Rupali does her chore on Friday. Thus, Monday’s chore must be done by Prachi. The correct order of Day – Name – Chore is: Monday – Prachi – Dusting; Tuesday – Tanu – Sweeping; Wednesday – Roopam Mopping; Thursday – Sayali – Shopping; Friday – Rupali – Laundry. Prachi agrees to take care of dusting. Roopam takes care of mopping on Wednesday. Option 1. The author states that one needs to look at agriculture, power sector and fiscal area. However the worst off is the fiscal area at the end of ten years Option 1. The passage states that gradualism has been a strategy employed by the party in power. Groups agreed on particular reforms when they thought that the reforms would not go too far. The irony is that the reforms which the opposition

39.

40.

41.

42.

43.

44.

5

opposed when in opposition were pushed forward by them when in power. This means that the reforms were weak in the first place but even the opposition once in power agreed with them. It is not that they do not want to implement the reforms, hence option 2 is incorrect. It is not mentioned that weak reforms yield good results. Hence option 3 is incorrect. Here all parties seem to have a consensus on intermittent implementation, not disagree. Hence option 4 is incorrect. Option 2. The passage states that the progress was made as and when politically feasible, hence the word fitful means occurring irregularly. The word does not imply suitable and hence option 1 and 3 are incorrect. The word opportunistic means the policy or practice, as in politics, business, or one's personal affairs, of adapting actions, decisions, etc., to expediency or effectiveness regardless of the sacrifice of ethical principles. Option 3. At first glance we think that erudite can fit the first blank as she is called for her expert opinion. However, the word but tells you that what she knows is going to be harmful rather than beneficial for the case. Hence option 2 is ruled out. The word engender which means give rise to cannot fit in the second blank. To Acknowledge is to recognize the validity of something. Pernicious means evil, wicked or ruinous and hence is too strong a word to fit in the first blank. Building G must be constructed in the 5th or the 7th month. If H is constructed in the 5th month, then G must be constructed in the 7th month. Instead of putting down all possible arrangements, it is easier to find an arrangement that shows an option to be not necessarily true. In option 1, if building G is constructed in the 7th month, a possible arrangement from the 1st to the 7th month is JZLXHYG. So option 1 is not necessarily true. The same arrangement also shows that option 2 is not necessarily true. In option 3, if building J is constructed in the 1st month, a possible arrangement from the 1st to the 7th month is ZJLXHYG. So option 3 is not necessarily true. Hence the correct answer is option 4. Instead of putting down all possible arrangements, it is easier to find an arrangement that shows an option to be not necessarily true. In option 2, if building G is constructed in the 7th month, a possible arrangement from the 1st to the 7th month is JZLXYHG. So option 2 is not necessarily true. In option 3, if building G is constructed in the 5th month, a possible arrangement from the 1st to the 7th month is JLXYGZH. So option 3 is not necessarily true. In option 4, if building G is constructed in the 7th month, a possible arrangement from the 1st to the 7th month is ZJLXYHG. So option 4 is not necessarily true. Hence the correct answer is option 1. Option 1. Unlike with alcohol, there is no way that the police can check whether the person was using his mobile or not when the accident took place and hence

6

45.

46.

47.

48.

49.

50.

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Explanations

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the statistics can be untrue as people would not admit the truth. The problem is not only among teenagers and option 2 will solve only a part of the problem. When the risk of accident is 4 times, there is point in hoping that people will comply. Hence option 3 is incorrect. The distraction is because of the signals to the brain and hence whether the mobiles are hand free or hand held, they are still a hazard and will lead to accidents. Suppose A is the criminal. Since A’s statement is false, it means that C is the criminal. This is a contradiction. So A is not the criminal. Suppose B is the criminal. Then C tells the truth that B is not the criminal. This is contradiction. So B is not the criminal. Suppose C is the criminal. Since C’s statement is false, it means that B is the criminal. This is a contradiction. So, C is not the criminal. Suppose D is the criminal. Since B’s statement is true and D’s statement is false, we can conclude that D is the criminal. Option 2. The author is talking about the IT enabled services and hence is talking about technical knowledge and language (English) skills. These skills are not found readily among the masses. Higher education and experts in scientific fields are very general answers. Option 3. The passage states that the poor are exploited by both the government and the private sector. As most of the poor are in the private sector, it is difficult to monitor the extent of their exploitation and even if known it is difficult to put restrictions on them as there are no legal contracts between the poor labourer and the employer. If cutbacks in the public sector are reduced, more jobs would be generated and this would lead to the upliftment of the backward castes as there is reservation for backward castes in PSUs. Hence option 3 is correct. Levying taxes on imported goods cannot generate jobs or improve the condition of the poor. Hence option 1 is incorrect. As there are no legal contracts, option 2 is not feasible. Option 4 is impossible as we have so many religions and so many castes. Government’s own data shows that 86 percent of India’s labor force was in the unorganized sector, either self-employed or working for wages. So only 14 percent of total Indian population is salaried – not very different from the figure for the Muslims (which is 13 percent). Option 2 will support the fact that the Muslims are not faring well. There is a call for democratizing capitalism, which means it has yet not been implemented. Hence option 3 is incorrect. Option 1. A magician’s act is dependent on the skill of the magician. How well can he fake the outcome. He always uses tricks to perform magic. Fake cards, Fake hats, Fake wands etc. are used to come to the desired outcome. Houdini would perform the trick out of sight of the audience, which means not only the outcome was faked but the event itself was faked. Option 3. The paragraph talks about growing old and what are the things that people have being doing to

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counter that. Option 3 talks of dieting which is not what the paragraph addresses. Option 1 is wrong because if P is selected, N and S must also be selected. Option 2 is correct as it satisfies all the given conditions. Option 3 is wrong because if R is selected, Y must also be selected. Option 4 is wrong because if P is selected, N and S must also be selected. If R is selected, then Y must also be selected. Since Y is not selected, it implies that R has not been selected. If P is selected, then N and S must also be selected. Option 4. The word should be deviate and not divert. Deviate, on the other hand, has the idea of a change to something less acceptable or normal, often though not always less morally acceptable, (as in sexual deviation) It's used in the context of changes in belief or behaviour : In 60 years as a priest he never once deviated from his vows. When the route of a plane/train or anything else which follows an established path is changed we say it is diverted. Divert can also be used to talk about a use of something (usually money) for something other than its normal use. Divert is also used to talk about a change in attention. Option 1. The author started to put his realisation that talking about the weather was not after all a vacuous job into practice for the first time with the cashier at the gas station. It was like a conversation starter. It was not an example and neither a critical comment, just an opening sentence. He uses the weather to start the conversation and hence we cannot call it an accompaniment. Option 3. The author states that speaking of the weather leads to information on a lot of other things – like family, ambitions, frustrations and plans. Talking of the weather gives the author insight into the lives of others, but that does not mean the weather is the most important aspect for all sections of the society. Money and weather are not related in the passage. The author realises that talking about the weather is not vacuous and not that the people have vacuous minds. Option 1. The way every person looked at the weather was different and the way they reacted to the weather was also different. The environment affects every person differently. People looked at weather from different perspectives and hence option 3 is incorrect. There is not talk of the involvement of people with their surroundings. Option 4. The author uses the phrase “ a seed of empathy” when he is referring to a businessperson and states that talking about the weather creates a connection or leads to a deeper dialogue. It is a way to understand the other person and his plans, aspirations, family and frustrations. It is not only about the customer, hence option 2 is incorrect. Moreover sympathy and empathy are different. Whether the rapport is permanent or not cannot be ascertained. Whether talking about the weather has a calming effect or not is not mentioned. Option 3. In A the word calendar is incorrectly spelt. The tense used is the past tense. Hence in D, instead of blows we need blew. In E, stand should be stood and their should be there.

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Answer key

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Option 3. The paragraph ends with “The rocks transform an arid plain into a productive farm” and hence option 3 which explains to you why in spite of the rocks the farms were high-yielding is the best continuation of the paragraph. A farmland which is high yielding would not have a dusty topsoil and hence option 4 is ruled out. An island in the Pacific would definitely be affected by the sharp changes in temperatures as well as the winds and storms. There is no doubt that the clearer the farm, the better it is; however, in the Pacific island clear farmland means that soil could be blown off and the farmland could turn arid with the constant beating of the sunrays.

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