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CC1501-Section I

1. What is the shortest possible integral length of the third side of a triangle whose two

sides have lengths 9 and 24 units?

1. 15

2. 16

3. 32

4. 33

2. If x4 + 1/x4 = 47 where x is positive then what is the value of x3 + 1/x3?

1. 1 2. 9 3. 18 4. 27

3.Ananya drives the first 180 miles of her trip with a speed of 80 km/hr and the rest of

the trip with 110 km/hr. Her average speed for the entire trip is 100 km/hr. Find the

length of the trip. (1 mile ~ 1.6 km)

1. 495 km

2. 675 km

3. 495 miles

4. 675 miles

4. A ladder leans against a wall. The top of the ladder is 11 ft above the ground. If the

bottom of the ladder is then moved 1 ft away from the wall, the ladder will lie on the

ground with its top touching the wall. How long is the ladder (in ft)?

1. 12

2. 13

3. 60

4. 61

5.Given that,

[a] + ]b[ + {c} = 11.7

[b] + ]c[ + {a} = 7.9

[c] + ]a[ + {b} = 10.4

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Where [x] & ]x[ denote the greatest and least integer values of x.

i.e. [8.3] = 8 , ]8.3[ = 9

What is the value of a+b+c ?

1. 15

2. 15.5

3. 16.5

4. 16

6. The lengths of the sides of a right triangle are all integers and are in arithmetic

progression. What is the shortest possible length of the shortest side of such a triangle

whose perimeter is greater than 2015?

1. 503

2. 504

3. 625

4. 672

7. Both roots of the polynomial x2 – bx + 1 are integers. And further one root is cube of

the other. Which of the following is not a possible value of b?

1. -2

2. -1

3. 2

4. all are possible

8. Sum of first 19 terms of an arithmetic progression is same as the sum of first 22

terms of same progression. Find the sum of 7th and 35th term of same progression?

1. 0

2. 1

3. 42

4. data insufficient

9. For what real numbers n, x2 + 4x < n + 1 for every real number x?

1. n > 3

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2. n < 3

3. n = 0

4. not possible

10. Lakshman can buy 3 dosa, 5 pizza and 1 shake at restaurant for 465 rupees. And he

can buy 4 dosa, 9 pizza and 1 shake at same restaurant for 715 rupees. How much

would 2 dosa, 1 pizza and 1 shake cost at same restaurant?

1. 215 rupees

2. 265 rupees

3. 305 rupees

4. cannot be determined

11. For how many natural numbers N, does the number N4 + N2 + 1 divisible by exactly

two divisors?

1. none

2. 1

3. 2

4. 3

12. My cat keeps to himself most of the time. I only heard him meow, hiss, and purr on

two days out of the last 24 days. But I did hear him make at least one of these sounds

each day. I heard him hiss on 7 days, purr on 11 days, and meow on 16 days. On 3

days, I heard him meow and hiss but not purr, and on 1 days, I heard him purr and hiss

but not meow. On how many days did I hear him meow and purr but not hiss?

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

13. Find the minimum value of PQR + PQS + PRS +QRS if PQRS(PQ +QR + RP) = 1 and

P, Q, R, S are positive real numbers.

1. 4

2. 3

3. 2

4. 1

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14. The base of a pyramid is an equilateral triangle ABC while its height is √3 and

volume is 4 units. E is a point on the side BC such that BE:EC is 1:3. What is the length

of AE? (√13 )

1. √10 2. √12 3.√13 4. √15

15. In a 1000m race, A gives B a head start of 50 m and still beats him by 50 seconds.

In another race of 900 m, B doubles his speed and gives A head start of 150 m and both

of them reach the finish line at the same time. What is the speed of B?

1. 3m/s 2. 4m/s 3. 5m/s 4. 7m/s

16. In how many ways letters of ‗APPLICATION‘ can be arranged such that vowels are

not together?

1.3

2*11! – 7!*5!

2. 12! / (2! ^3)

3. 12!

4. 8! * 5!

17. ΔOQP is a right angled triangle right angled at Q and POQ is 600. A and B are two

friends standing at O. A moves along OP and B moves along OQ. By the time A reaches

P, B has reached Q. Both of them now move along PQ i.e. A moves towards Q and B

towards P and meet each other at R, What is the distance OR if OQ =a units.?

1. √3a/2 2. 2a/√3 3. 3a/2 4. None of these

18. It is give that,

𝑎∞𝑛=1 n = 4 and (𝑎∞

𝑛=1 n)2 = 8

Where an is the nth term of an infinite geometrical series.

What is the value of 27a3 ?

1. 1

2. 8

3. 9

4. 27

19. What is the sum of all the values of x for which (x2-9x+19)^(𝑥2+8x-33) = 1?

1. -8

2. 9

3. 10

4. 3

20. Let f(x) is a polynomial such that f(f(x)) –x =xf(x),then what is the value of f(-91)?

1. 90

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2. -92

3. 0

4. Cannot be determined

21. If 𝑙𝑜𝑔10 𝑥2 + 4𝑥 − 21 + 𝑙𝑜𝑔10

(𝑥+1)

(𝑥+7)= 2 + 𝑙𝑜𝑔10 (2𝑥 + 2) where x≠-1 and -7, then how

many zeroes will be at the end of x!?

1. 35 2. 42 3. 49 4. 56

22. A triangle is formed by the X axis and the lines 2x+3y =6 and y-x = 1 as three

sides. If X-axis is taken as the base, then the corresponding altitude of the triangle is

1. 4/5 2.8/5 3. 4/3 4. 8/3

23. How many five digit numbers abcde are there such that a > b > c and e > d > c?

Also no two digits of the number are same?

1. 252

2. 504

3. 1512

4. 6048

24. In a hotel the average expenditure on hospitality of the guests is Rs 68 per guest for

a group of 5 guests and Rs 50 for a group of 8 guests. There is a fixed expenditure for a

group which remains constant irrespective of the number of guests. Then what is the

average expenditure per guest for a group of 15 guests?

1. 36 2. 40 3. 42 4. 48

25. If a woman takes two days to complete a work then a man takes only 1 day to

complete the same work while a child does half of the work in a day which can be

completed by a woman in one day. A contractor hires 60 pairs of hands, men women

and children in the ratio of 6:5:4 and pays them in all Rs 1900. The wages are

proportional to the amount of work done. Then how much is the daily wage of a child?

1. 12.5 2. 15 3. 18 4. 20

26. Four identical coins are placed in a square. For each coin the ratio of area to

circumference is twice the ratio of circumference to area. Then find the area of the

square that is not covered by the coins.

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1. 64π

2. 16(4 – π)

3. 32(4 - π)

4. 14 - 3π

27. A 16 L solution of kerosene and petrol contains kerosene and petrol in the ratio of

3:1. A 30% solution of kerosene and petrol is added so that now the solution becomes

50% kerosene and 50% petrol by concentration. How many litres of the 30% kerosene

were added to the initial solution?

1. 10 2. 15 3. 18 4. 20

28. If p denotes the factors of N = 24335374 which are divisible by 20 and q denotes the

factors of N which are perfect squares, then what is the value of p/q ?

1. 3 2. 5 4. 6 4. 12

29. For how many ordered triplets (a,b,c) , -11 < (a,b,c) < 11 ,a,b,c are integers,

𝑎𝑏

𝑐

= 𝑎

𝑏

𝑐 holds true?

1. 800

2. 840

3. 882

4. 1200

30. If K = 1! +2! +3! +…………. +100! , then K mod 48 =?

1. 47

2. 24

3. 9

4. 1

31. Raghu has put equal amounts of money in two schemes A and B. Scheme A offers

18% per annum compound interest payable half yearly and the scheme B at x percent

per annum compound interest payable yearly. If he gets equal amounts after 2 years.

What is the value of x? Ans 18.81%

1. 18.81 2. 20.44 3. 21.6 4. 19.60

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32. In the magic square, the sum of the three numbers in any row, column or diagonal

is the same. The sum of the three numbers in any row is:

2x 3 0

-3

2 x

1. 0

2. 1

3. 3

4. 5

33. Let a > b >0 be prime numbers. Of the following numbers, the one which cannot be

equal to a - b is

1. 29 2. 30 3. 31 4. 32

34. Sum of six consecutive numbers is n. Find the largest of these four numbers?

1. 𝑛+15

6 2.

𝑛−3

3 3.

𝑛−9

2 4. None of these

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SECTION II

Directions for questions 1-4: The passage given below is followed by a set of four

questions. Choose the most appropriate answer to each question.

Most people are familiar with the notion that energy cannot be destroyed. Interestingly,

there is also a rule in quantum mechanics that forbids the destruction of information.

This principle, called unitarity, is often illustrated by the example of burning a book—

although it would obviously be much harder to read a burned book. This principle has, in

recent years, run into some trouble with black holes as they might or might not be able

to destroy information. My interest here is not with this specific dispute.

On the face of it, the indestructibility of information seems rather similar to the

conservation of energy. Long ago I first heard that because of the conservation of

energy, personal immortality must be real (or at least possible). The basic line of

reasoning was that a person is energy, energy cannot be destroyed, so a person will

exist forever. While this has considerable appeal, the problem is obvious: while energy is

conserved, it certainly need not be preserved in the same form. That is, even if a person

is composed of energy it does not follow that the energy remains the same person.

David Hume was rather clear about the problem. When discussing the possibility of

immortality, he claims that nature uses substance like clay: shaping it into various

forms, then reshaping the matter into new forms so that the same matter can

successively make up the bodies of living creatures. He believed that an immaterial

substance could successively make up the minds of living creatures—the substance

would not be created or destroyed, it would merely change form. However, the person

would cease to be. Prior to Hume, John Locke also noted the same sort of problem: even

if, for example, you had the same soul (or energy) as Nestor, you would not be the

same person as Nestor any more than you would be the same person as Nestor if, in an

amazing coincidence, your body contained at this instant all the atoms that composed

Nestor at a specific instant in time.

What would be needed would be the persistence of what makes up the person. This is

usually taken to be something other than just stuff, be that stuff matter, energy, or

ectoplasm. So, the conservation of energy does not seem to necessarily mean personal

immortality—but the conservation of information might (or might not). Put a bit crudely,

Locke took this something other to be memory: personal identity extends backwards as

far as the memory extends. Since people clearly forget things, Locke did accept the

possibility of memory loss. Being consistent in this matter, he accepted that the

permanent loss of memory would result in a corresponding failure of identity. Crudely

put, if a person truly did not and could never remember doing something, then she was

not the person who did it. While there are many problems with the memory account of

personal identity, it certainly suggests a path to quantum immortality through the

conservation of information. One approach would be to argue that since information is

conserved, the person is conserved even after the death and dissolution of the body.

Just like the burned book whose information still exists, the person‘s information would

still exist.

One obvious reply to this is that a person is an active being and not just a collection of

information. As such, while the person‘s information would be conserved, the person

would cease to be. This sort of ―quantum immortality‖ is remarkably similar to Spinoza‘s

view of immortality. While he denied personal immortality, he claimed that ―the human

mind cannot be absolutely destroyed with the body, but something of it remains which is

eternal.‖ Spinoza, of course, seemed to believe that this should comfort people. Perhaps

some comfort should be taken in the fact that one‘s information will be conserved

(barring an unfortunate encounter with a black hole). One potential problem is an old

one for philosophers—if a person could be reconstructed from information, she could also

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be duplicated from such information. To use the obvious analogy, this would be like 3D

printing from a data file, except what would be printed would be a person. Or, to use

another analogy, it would be like reconstructing an old computer and reloading all the

software. There would certainly not be any reason to wait until the person died, unless

there was some sort of copyright or patent held by the person on herself that expired a

certain time after her death.

1. Which of the following would not be an appropriate example of quantum immortality,

as described in the passage?

1. The information processed by and contained in a computer program is preserved even

when the software stops running.

2. The script of a play would persist after the final curtain has been drawn to the play.

3. The records created and runs scored by a batsman remain in the record even after the

player retires.

4. The sound of an explosion reverberates for some time even after the explosion.

2. Which of the following best sums up Hume‘s take on the subject discussed in the

passage?

1. Nature uses same substance over and over to recreate objects.

2. An indestructible or immortal substance does not entail the immortality of a person.

3. A substance would not be created or destroyed, it would merely change form.

4. Human immortality is derived from the immortality and conservation of energy.

3. The central idea of the passage is to discuss

1. the diverse applications of conservations of energy.

2. the cyclic reforming of human forms by nature.

3. whether indestructibility of information has any implications for immortality.

4. the definition of immortality with regard to humans.

4. In using the example of burning a book, the author believes that

1. a burnt book, like black holes, follows the principle of unitarity.

2. even though the book is burned, the information still remains.

3. the principle of unitarity is universal.

4. a book is a good example of collection of information.

Directions for questions 5-8: The passage given below is followed by a set of four

questions. Choose the most appropriate answer to each question.

Philosophers and non-philosophers stand on a level of equality with respect to death.

There are no experts on death, for there is nothing to know about it. Death and its

concept are absolutely empty. No picture comes to mind. The concept of death has a use

for the living, while death itself has no use for anything. All we can say about death is

that it is either real is not real. If it is real, then the end of one's life is a simple

termination. If it is not real, then the end of one's embodied life is not true death, but a

portal to another life.

For those who think death is real, death is a blank wall. For those who think it is not real,

death is like a door to another life. We often say that a person who dies is relieved of

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suffering. However, if death is real, then it is right to say that the dead do not suffer, as

though something of them remains not to suffer. As there are already many speculations

about some sort of 'next life,' I will focus on the view that death is real and marks the

final end of an individual's life. Let us explore the idea that death is a wall a bit further.

Each of us is born facing this wall. From that moment on, every step we take is towards

it, no matter which way we turn. There is simply no other direction to take. Like a fun

house mirror, the wall of death shows us our living fears and distorted images of

ourselves. All we see when we look at death is a reflection of our own lives.

We all hope that death will come to other people, but never to me. Of course, I know

that I am going to die. Death means the end of my future. However, as long as I am

alive, I will be living toward that future possibility of no longer having possibilities. The

unavoidable conclusion is that, if death is real, neither I nor you will ever personally

taste death. I am actually dead only for others. When the end actually arrives, my dead

body passes into the hands of the coroner. As Ludwig Wittgenstein famously put it,

―Death is not an experience in life.‖

The concept of death is unlike most other concepts. Usually we have an object and the

concept of that object. For example, we have a horse and the concept of a horse.

However, the concept of death is absolutely without any object whatsoever. Thinking

about the prospect of one's own death is a constant meditation upon our own ignorance.

There is no method for getting to know death better, because death cannot be known at

all.

One trouble with discussing this topic is the instinctive fear of death. We tend to avoid

death in our thoughts and actions. However, if we could forget our fears for a minute, we

could see more clearly how interesting the concept actually is from a more detached

point of view. Birth and death are the bookends of our lives. Living towards death in time

gives one's life a direction and framework within which to understand the changes that

life brings. The world looks very differently to the young and the old. The young look

forward. The old look back. What matters to us changes as we get older. The prospect of

death informs these changes. The young have an intellectual understanding that death

comes to us all, but their mortality has not become real to them. For the old, mortality

starts to sink in.

For a long time, I have been puzzled by two famous philosophical ideas about death, one

from Plato and the second from Spinoza. The first is that a philosopher has a vital

concern with death and constantly meditates upon it. The second is that the wise person

thinks of nothing so little as death. Ignoring death leaves us with a false sense of life's

permanence and perhaps encourages us to lose ourselves in the minutiae of daily of life.

Obsessive rumination on death, on the other hand, can lead us away from life. Honestly

coming to terms with one's death involves reflection on its significance in one's life, and

thinking about the larger values that give life its meaning. In the end, I think it is useful

to think about death only to the point that it frees us to live fully immersed in the life we

have yet to live.

5. The sentence ―death is not an experience in life‖ can be best rephrased as

1. Death is always described from the perspective of the living.

2. A person will cease to be alive before death.

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3. No matter how close one may come to it, death is receded by life.

4. Death is not a pleasurable event for anyone.

6. Which of the following statements would the author of the passage support?

A. The concept of death has no subjective meaning.

B. Some people know when their death will occur.

C. It is best to ignore a concept like death as it is beyond our understanding and control.

D. True death is one in which the end of one‘s bodily life has a use for the living.

1. Only A 2. B and D 3.C and D 4. A and C

7. The italicized part in the second paragraph can be best described as a

1. simile

2. hyperbole

3. pun

4. metaphor

8. Which of the following is an apt title for the passage?

1. Inevitability of death.

2. Fear of death

3. Death and its concept.

4. Death and deathlessness.

Directions for questions 9-12: The passage given below is followed by a set of four

questions. Choose the most appropriate answer to each question.

The weight of belief is heavier than most of us know. Belief chains us to patterns of

thought and behavior. Despite lacking knowledge, we cling to our beliefs in the attempt

to give stability and security to our inner lives. I am not talking about believing where

you parked your car, what you mother‘s name is, or the existence of global warming. For

all these things we have common or scientific ways of coming to a logical set of beliefs.

In some matters it is hard to know how one could be wrong, for example, in believing

that 2+2=4, that my name is John Locke, or that humans live on the planet earth. In

other cases, our beliefs are not so certain. One of the main features of our beliefs is that

they aim at the truth, and we hold our beliefs to express true opinions. Certainly, it

would be very odd to say that one believes something, but not that it is true. What

beliefs do, however, is to stick the mind to ideas as if they were true, and in such a way

as to render them inert. Questioning things takes mental effort and discombobulates

people who simply want to get on with their lives without thinking too much. Indeed, if

our minds were not so fastened to a set of stable beliefs, it would be hard to navigate

the world.

Beliefs, then, are ideas about what is considered true that remain relatively stable

through time and provide a compass for our lives. We act on our beliefs just as surely as

knowledge. Subjectively there is very little difference between them, however,

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knowledge always turns out to be true. Nevertheless, we often forgot this, and confuse

belief with knowledge. The sources of belief are multiple, and not all of them are terribly

respectable. We are in the dependent position of coming into the world as babies,

waiting to be impressed by the sights, sounds, and, most importantly, by the people who

guide and protect us. Not being born with beliefs, but with a capacity, and even a

necessity to form them, we unquestioningly accept what others tell us. As little children,

we trust our elders because we have no choice. We are praised or punished for our

behavior according to the beliefs of the very local culture into which, and out of which,

we emerge.

So what has this to do with skepticism and freedom? Skepticism has a bad reputation in

many quarters. Habits of questioning cause discomfort in those who have set opinions.

Their attitude is one of ―I know what I believe, and I will stick to that no matter what.‖

Furthermore, to such people, the skeptic appears as a threat to settled patterns of

thought, action and attitude. More to the point, skepticism allows and even demands the

questioning of all authorities, and authorities do not like such questioning. If everyone

started making up their own minds about everything, no authority would be able to

maintain the uniformity of thought that it desires.

My view is that the many beliefs that people hold without questioning are so many

shackles of the mind. Our beliefs hold us captive, and we do not even know it. This is

why the cultivation of a skeptical attitude is so important for the advance of freedom in

the world. I am not speaking of radical skepticism about the unreality of the world, our

bodies, or even the truths of mathematics. These ‗doubts‘ are a strategic maneuver

designed to sharpen a theory of knowledge. Reasonable skepticism concerns the

opinions people hold with a strength that is not warranted by the evidence.

9. Which of the following statements would the author of the above passage lend

support to?

A. To an individual, belief implies truth.

B. For authorities to be able to maintain uniformity of thought among its subjects, it is

imperative that individual subjects do not hold their individual differing beliefs.

C. Religious and political beliefs are as much a matter of conviction as fact.

D. It is reasonable to have a greater degree of conviction for some beliefs and less for

other beliefs.

1. A,B and D 2. B and D 3. A, B and C 4. C and D

10. One should not mistake belief for knowledge since

1. a belief is born out of reasoning whereas knowledge is verifiable.

2. a belief chains us to patterns whereas knowledge does not.

3. a belief may not be true.

4. different people may have opposing beliefs.

11. A skeptic‘s mind would be a freer mind because

1. It is more likely to sharpen the existing theories of knowledge.

2. It would aspire for certainty and rationality.

3. It would discourage conviction in beliefs.

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4. It would be free of assumed beliefs

12. As used in the passage, the word ‗discombobulates‘ means

1. Disturbs

2. Discourages

3. Disinterests

4. Diverts

Directions for questions 13-16: The passage given below is followed by a set of four

questions. Choose the most appropriate answer to each question.

There is, obviously enough, a minimum amount of income that a person or family needs

in order to survive—that is, to pay for necessities such as food, shelter, clothing and

health care. In order to address this need, governments have created the concept of

minimum wage. However, this wage has not kept up with the increasing needs and

many workers simply do not earn enough to support themselves. These people are

known, appropriately enough, as the working poor. This situation raises a question of

bearing the cost of making up the difference between the minimum wage and a living

wage. The two main options seem to be the employers or the taxpayers. Another

alternative is to simply not make up the difference and allow people to try to survive in

truly desperate poverty.

One argument in favour of leaving the burden on the taxpayers is that it is not the moral

responsibility of the corporations to pay a living wage. Their moral obligation is to the

shareholders and this obligation is to maximize profits, presumably within the limits of

the law. One possible response to this is that businesses are part of civil society and this

includes moral obligations to all members of that society and not just the shareholders.

These obligations, it could be contended, include providing at least a living wage to full

time employees. It, one might argue, be more just that the employer pay a living wage

to the workers from the profits the worker generates than it is to expect the taxpayer to

make up the difference. After all, the taxpayers are not profiting from the labour of the

workers, so they would be subsidizing the profits of the employers by allowing them to

pay workers less. Forcing the tax payers to make up the difference certainly seems to be

unjust and appears to be robbing the citizens to fatten the coffers of the companies.

It could be countered that requiring a living wage could destroy a company, thus putting

the workers into a worse situation—that is, being unemployed rather than merely

underpaid. This is a legitimate concern for businesses that would, in fact, be unable to

survive if they paid a living wage. However, this argument would obviously not work for

businesses that have extremely robust profit margins. Hence they have the responsibility

to ensure that the workers get their due. This differential responsibility, also known as

Jude‘s theory of remuneration, is popular with most socialist governments. There are

already a multitude of standards that apply to different businesses based on the

differences between them—and some of these are even reasonable and morally

acceptable.

Another line of argumentation is to attempt to show that there is, in fact, no obligation

at all to ensure that citizens have a living income. In this case, the employers would

obviously have no obligation. The taxpayers would also not have any obligation, but they

could elect lawmakers to pass laws authorizing that tax dollars be spent supporting the

poor. That is, the tax payers could chose to provide charity to the poor. This is not

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obligatory, but merely a nice thing to do. Some businesses could, of course, also choose

to be nice—they could pay all their full time workers at least a living wage. But this

should, one might argue, be entirely a matter of choice.

Some folks would, of course, want to take this even further—if assisting other citizens to

have a living income is a matter of choice and not an obligation arising from being part

of a civil society then tax dollars should not be used to assist those who make less than

a living wage. Rather, this should be a matter of voluntary charity—everyone should be

free to decide where their money goes. And obviously there are philanthropists who

donate large sums of their wealth. Naturally, consistency would seem to require that this

principle of free choice be extended beyond just assisting the poor. After all, free choice

would seem to entail that people should decide as individuals whether to contribute to

the salaries of members of the legislatures, to the cost of wars, to subsidies to

corporations and so on. This does, obviously enough, have some appeal—the state

would operate like a collection of charity recipients, getting whatever money people

wished to contribute.

13. ―The working poor‖, as described in the passage, refers to

1. People who are wholly or partly dependent on government subsidiary.

2. People who take up menial jobs that offer little money.

3. Jobless people who are struggling to get jobs despite being somewhat educated.

4. People with jobs that do not fulfill their basic needs.

14. Which of the following statements can be inferred from the above passage?

A. Same remuneration in one country may qualify as a living wage whereas in another it

may not.

B. Workers and shareholders in an organization may have conflicting interests.

C. Increase in minimum wage has been disproportionately lower than the increase in

cost of living.

D. Many of these low-paid workers are employed by large, highly profitable corporations.

1. B and C 2. A, B and C 3. A and D 4. B, C and D

15. The extension of principle of free choice to the entire state is impracticable because

1. the state is not a person but a collection of individuals with differing views and

choices.

2. the government may not get sufficient donations from the citizens to run the state.

3. it will most certainly result in the collapse of civil society.

4. people are unlikely to willingly part with their income in our times.

16. The primary question that the author has sought to ask in the passage is

1. Who decides how much is a living wage?

2. Is it morally acceptable to pay workers less than a living wage?

3. Who is responsible for a living wage?

4. Are corporations culpable of underpaying their workers?

Directions for question 17-20: The sentences given in the question, when properly

sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose

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the most logical order of sentences from among the given choices to construct a

coherent paragraph.

17.

A. They fail to acknowledge the timeless mystery and beauty of India, of the mighty

Himalayas, Thar Desert, the backwaters of Kerala.

B. Mystical and spiritual, chaotic and confounding, India is a land of rich contrasts.

C. To them, the future of tourism in India is bleak.

D. For thousands of years, many have willingly left the comforts of their home and set

off across this spiritual land.

E. However, a few may beg to differ when it comes to applauding India's beauty.

1. DCAEB 2. BDEAC 3. DBEAC 4. BEACD

18.

A. Hair is made up of a type of protein called keratin that is produced in hair follicles.

B. It all depends on the cause.

C. There is nothing more distressing than seeing your lovely locks fall out.

D. But the good news is that in most cases it is possible to treat hair loss.

E. Unexplained hair thinning and hair loss can give you sleepless nights.

1. CEBAD 2. CBDAE 3. ECDBA 4. EDABC

19.

A. In other words, these carefully orchestrated flavors make you go ―How is this so

good, what sorcery is this?

B. If you are done dishing out all explicit synonyms of ―hell, no‖, hear me out.

C. Sadly, and much to the contentment of your taste buds, junk food companies have

cracked the perilous code of flavour science.

D. They have taken this science to extraordinary levels, magically mixing in the exact

ratio of sugars, salts, fats and other chemicals that appeal to your psychological and

physical reactions.

E. Could your brain ever want broccoli over brownies?

1. EBCDA 2. CBDAE 3. ECBAD 4. CDAEB

20.

A. As for gold, let me have as much as a moderate man could bear and carry with him.

B. Oh dear Pan and all the other gods of this place, grant that I may be beautiful inside.

C. May I consider the wise man rich.

D. Let all my external possessions be in friendly harmony with what is within.

1. DCBA 2. BDCA 3. DBCA 4. BCDA

Directions for question 21-24:In the following question four statements are given, of

which 3 when placed in appropriate order will form a contextually complete paragraph.

Pick the statement that is not part of the context.

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21.

1. I was walking on the road surrounded by magnificent trees.

2. Yes , I used surrounded because those trees are huge.

3. Trees from both sides converge at the top and form an atmosphere like shield on the

road.

4. Walking in that atmosphere made me feel so secure.

22.

1. The Dinka are a Nilotic ethnic group from South Sudan.

2. Farming has always been the main economic resource of the region.

3. The members live from the tenth century on both sides of the Nile River.

4. The language spoken by them belongs to the Nilo-Saharan group.

23.

1. Touted as the oldest of all culinary techniques, the process of fermentation is not

particularly a pretty sight.

2. The beauty of it is how this simple technique is used to create some of the most

spectacular dishes of all times.

3. Different regions have their unique fermented preparations, which the locals have

mastered over the years

4. Over the period of time, these dishes have become an integral part of the

communities‘ culinary lineage.

24.

1. One of the key factors that cause snoring is the tongue.

2. This is because it tends to fall backwards during sleep, thus blocking the air passage

of the throat.

3. It is therefore important to strengthen your tongue muscles to help curb snoring.

4. After all, who would not want a quiet and peaceful surrounding to get a good sleep

after a tough day‘s work?

Direction for questions 25 – 30:Read the following paragraph and then answer the

question that follows the paragraph

25. It is well known that using public transportation, such as trains and subways,

instead of traveling by car, saves, on average, 25 percent of commuting time. Even

people who, throughout the commute, use car pool lanes, which are usually the least

congested of roadways, spend more time commuting, on average, than people who use

subways and trains.

The statements above most strongly support which of the following inferences?

(A) For people who normally drive to their destinations, stopping at traffic lights

accounts for approximately 25 percent of the journey time.

(B) Subways and trains are available in the majority of congested urban areas.

(C) Using carpool lanes does not, on average, reduce driving time by more than 25

percent.

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(D) Covering the distance between a subway or train station and one's final destination

does not, on average, take longer than covering the distance between one's car and

one's final destination.

26. Venkateswara College has seen an increase in both enrollment and total tuition

revenue during each of the last four years. Miranda House, in the same period of time,

has seen a steady decrease in enrollment, while total tuition revenue has remained

constant.

Which of the following assertions is best supported by the statements above?

(A) Venkateswara College now collects more total tuition revenue than Miranda House.

(B) There is a positive correlation between enrollment and total tuition revenue.

(C) At Miranda House, the per-student tuition has risen over the last four years.

(D) Enrollment at Miranda House will likely exceed enrollment at Venkateswara College

in a few years.

27. Let us not dwell on the ―insubordinate‖ Greek. If Greece ends up leaving the euro, it

won‘t mean that the Greeks are bad Europeans. Greece‘s debt problem reflected

irresponsible lending as well as irresponsible borrowing, and in any case the Greeks have

paid for their government‘s sins many times over. If they can‘t make a go of Europe‘s

common currency, it‘s because that common currency offers no respite for countries in

trouble.

Which one of the following most accurately expresses the main idea of the argument?

A) The current nature of the euro does not inspire confidence in Greeks.

B) Leaving the euro, thought not in Greece's best interest, is the only way out.

C) The Greek government should take measures to shore up the economy.

D) Leaving the euro will not mean that the Greeks have behaved obstinately.

28. There have been times when a curb on government spending has, over time, raised

the value of a country's currency. This policy, however, has not always received the

support of economists. This is so because a currency of lesser value ultimately causes a

country's exports to be more competitive in the international market, encouraging

domestic industries and making the economy more attractive to foreign investment.

The statements above most strongly support which of the following inferences?

(A) Curbing government spending can lead to a reduction in the national deficit.

(B) Limiting government spending is not always in the best interests of the economy.

(C) Many economists now recommend higher levels of government spending.

(D) An increase in the value of a currency will result in reduced government spending.

29. It is baffling to see that some people are so eager to overturn a law that provides

health care to millions of people. The educator in me wonders why the same people who

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decry public funding for medical care have no problem with publicly funded education. Is

health care a privilege, rather than a right, like education? It is absurd to think that

healthcare should be deserved only by those who can afford it.

Which one of the following most accurately expresses the main idea of the argument as

a whole?

A) Healthcare, like education, is not a privilege but a right.

B) Millions of people stand to benefit from publicly funded medical care.

C) Publicly funded education has parallels with healthcare.

D) Healthcare should not be treated as a privilege that only some can afford.

30. India has missed a golden opportunity to be a champion of humanity by keeping

away from the vote against Israel in U.N. What is happening in Gaza is genocide, where

innocent people have been and are being killed with impunity, and with the backing of

the West. It may be an open secret that India depends on Israel for its defense

preparedness but that does not mean that we should sacrifice our self-esteem and shy

away from doing our duty towards humanity.

Which of the following best summarizes the author‘s main point?

A) Vested interests should not have precedence over India‘s duty towards humanity.

B) India would have been a champion of humanity had India not kept away from the

vote.

C) India's dependence on Israel influenced India's decision to keep away from the

vote.

D) The genocide in Ghana is a dastardly act and should be stopped at once.

Directions for question 31-34: In the following questions there are sentences that

form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are correct

in terms of grammar and usage (including spelling, punctuation and logical consistency).

Then, choose the most appropriate option.

31.

A. Always obey your parents when present.

B. This is the best policy in the long run, because if you don‘t, they will make you.

C. Most parents think they know better than you do, and you can generally make more

by humoring that superstition than you can by acting on your own better judgment.

D. Be respectful to your superiors, if you have any, also to strangers, and sometimes to

others.

E. If a person offends you, and you are in doubt as to whether it was intentional or not,

do not resort extreme measures.

1.A, B and C 2.B, C and E 3.B, C and D 4. A, C and D

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32.

A. The frontier men were the precise opposites of the tidewater aristocrats.

B. The former stood around democracy because they had grown up in the middle of

democracy and knew how it worked.

C. No man was born to anything, except perhaps a chance to show how far he could

rise.

D. Yet, along with this feeling had come a deep sense of belonging to a national

community.

E. The Virginia aristocrat, inevitably, saw himself in relation to his own region.

1. A, B and C 2. B, C and E 3. B, C and D 4. A, D and E

33.

A. Renowned as a leading poet of the Romantic Movement, many contemporary

critics and other poets viciously snubbed John Keats.

B. During his lifetime, Keats struggled against the obstacles of his lower-middle class

social standing, limited education, and poor health, as he sought to develop his skills

as a poet.

C. Even after his premature death at the age of twenty-five, Keats's poeticcontinued

to be disparaged as overly sensitive, sensuous, and simplistic.

D. By the twentieth century, however, his position within the Romantic Movement

had been revalued by critics.

E. Keats continues to draw scholarly, critical, and popular attention.

1.A, B and C 2. B, C and D 3. A, C and D 4. B, D and E

34.

A. No other period in English literature displays more variety in style, theme, and

content than does the ‗Romantic Movement‘ of the eighteenth and nineteenth

centuries.

B. Furthermore, no period has been the topic of so much disagreement and

confusion over its defining principles and aesthetics.

C. Romanticism, then, can best be described as a large network of sometimes

competing philosophies, agendas, and points of interest.

D. It‘s primary vehicle of expression was in poetry, although novelists adopted

many of the same themes.

E. Contrary to the English example, American literature championed the ‗novel‘ as

the most fitting gener for Romanticism‘s exposition.

1.A, B and C 2. B, C and E 3. B, C and D 4. A, C and D

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Section III

Directions for questions 1 to 4: These questions are based on the information

given below.

200 person CAT crackers called for the GD and PI process in IIM Ahmedabad. During the

interview process 105 offered tea, 56 offered coffee and 50 participants offered cold

drink. There are 32 participants who offered tea and cold drink and at the same 45

participants who offered tea and coffee. Also there are 30 participants who offered tea

and coffee. Also there are 30 participants who offered coffee and cold drink.

1. Find the maximum number of participants who offered all three drinks?

1. 23 2. 13 3. 30 4. can‘t say

2. Find the minimum number of participants who offered all three drinks?

1. 19 2. 43 3. 32 4. can‘t say

3. Find the maximum number of participants who offered no drink?

1. 53 2. 66 3. 77 4. can‘t say

4. Find the minimum number of participants who offered no drink?

1. 56 2. 66 3. 76 4. can‘t say

Directions for questions 5 to 8: Answer the questions on the basis of the

following information.

The following pie chart gives the model wise distribution of the sales (by value) of

Washing Machines by LTPC Ltd. in the year 2013

5. What is the sum of the sales of Model A and Model C washing machines together?

1. Rs. 1136.72 crores

2. Rs. 1344.56 Crores

A720

B39.60

C14.4D

450

E540

F1350

Total Sales = Rs. 5936 crores

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3. Rs. 1424.64 Crores

4. Rs. 1524.64 Crores

6. The sales of Model C washing Machines is what percentage less than that of the

washing Machines of Madel F?

1. 81% 2. 89% 3. 85% 4. 79%

7. By mistake, the sale of Model C was under reported by 40%. If this mistake is

corrected, then the actual percentage share of sales of Model D washings machines

would be

1. 6.5% 2. 10% 3. 8% 4. 12%

8. For how many of the given Models is the Sales Value less than the average Sales

value of all the six units?

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

Directions for questions 9 to 12: Answer the questions on the basis of the

following information.

Eight girls Aakriti, Bharti, Chhavi, Deeksha, Eva, Farida, Ginni and Honey are sitting

around a circular table facing the centre. Each of them is wearing a jersey with a

different number from 1 to 8. The following information is known about them:

1. The ones with prime numbers on their jersey are sitting opposite to each other while

Bharti who is wearing jersey number 7 is sitting three places to the right of Aakriti whose

jersey number is 2.

2. Honey is sitting next to the one with jersey number 4 while Farida is sitting opposite

to Eva who is to the left of Bharti.

3. Deeksha who is not wearing jersey number 3 is sitting three places to the left of Ginni

who is not next to the one with jersey number 7.

4. The ones with jersey number 1 and 6 are sitting next to each other while Aakriti is not

next to Chhavi.

9. What number jersey is Eva wearing?

1. 5 2. 3 3. 6 4. 4

10. Who is sitting two places to the right of the one wearing jersey number 8 ?

1. Bharti 2. Chhavi 3. Farida 4. Cannot be determined

11. Who is wearing jersey number 1?

1. Chhavi 2. Farida 3. Honey 4. Cannot be determined

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12. Which of the following statements is true?

1. Chhavi is sitting two places to the left of Deeksha.

2. Farida is sitting next to Ginni.

3. Aakriti is sitting opposite to Ginni.

4. Honey is sitting three places to the right of Chhavi.

Directions for questions 13 to 16: Answer the questions on the basis of the

following information.

The following graph represents the profit percentage of two companies P and Q over the

years 2006-2010.

13.In how many years was the expenditure as a percentage of the income more than

60% for company Q?

1. 1 2. 2 3.3 4. 4

14.If the income of company P in 2007 was equal to income of company Q in 2010 while

the expenditure of company Q increased by 20% from 2009 to 2010. Then

approximately by what percentage is the expenditure of company P in 2007 greater than

the expenditure of company Q in 2009?

1. 16 2. 19 3. 23 4. 27

65

7580

70

90

80

60

70

95

85

2006 2007 2008 2009 2010

Profit percentage of companies P and Q from 2006-2010

Company P Company Q

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15.The income of company P increased from 2008 to 2010 by a CAGR of 10% annually.

Then, what is the simple annual growth rate of company Q from 2008 to 2010?

1. 14.28% 2. 18.21% 3. 20.20% 4. 22.22%

16. If the total income of company of company Q in 2007 was 12.8 lakhs while the

expenditure in 2008 increased by 20% from 2007 to 2008, then by how much did the

income of Q changed from 2007 to 2008?

1. Decreased by 2.8 lakhs 2. Increased by 2.8 lakhs

3. Decreased by 3.52 lakhs 4. Increased by 3.52 lakhs

Directions for questions 17 to 20: These questions are based on the information

given below.

A metro train starts from Dwarka and terminates at Mandi House. The intermediate

stations along this route are Tilak Nagar, Rajouri garden, Karol Bagh, Rajiv Chowk and

Barakhamba Road. On a particular day seven persons- A,B,C,D,E,F and G boarded the

metro at these stations. The following information is also known:

1. D and F started from the originating station i.e. Dwarka while only D got out at Karol

Bagh and no one boarded the metro from Karol Bagh. There was at least one person

who boarded the train at every station except at Karol Bagh and Mandi House.

2. A got out at a station where C boarded the metro while C got out at a station where G

boarded the metro.

3. Three persons got out at Mandi House which is the last station and one of them is G.

4. Both B and E boarded at Rajouri Garden while no one got out at that station.

5. Only B and E covered maximum number of intermediate stations and boarded at the

next station where A got in.

17. At which station did F get out from the metro?

1. Rajouri Garden 2. Rajiv Chowk 3. Tilak Nagar 4. Cannot be determined

18. Who boarded the metro at Barakhamba Road?

1. B 2. E 3. C 4. G

19.How many intermediate stations did E travel?

1. 1 2.2 3.3 4.4

20. Which of the following is true?

1. A boarded the train at a station just before the station where D got out.

2. C boarded the station just after the Karol Bagh station.

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3. C boarded the metro before B.

4. None of the statements is true.

Directions for questions 21 to 24: Answer the questions on the basis of the

following information.

Six teams South Korea, Japan, Australia, Germany, Pakistan and Netherlands

participated in a hockey tournament where each of these teams played a match against

each other. The following information is known about the matches played:

1. The team that scored the maximum number of points lost only one match while

Netherlands won the match against Pakistan.

2. There was only one match that resulted in a draw while except for Australia all the

other teams won equal number of matches.

3. Germany won the matches against Japan and Australia while Germany, Pakistan and

Japan scored same number of points.

21. What was the outcome of the match played between South Korea and Netherlands?

1. South Korea won the match.

2. Netherlands won the match.

3. The match between South Korea and Netherlands resulted in a draw.

4. Cannot be determined.

22. How many matches were lost by South Korea?

1. 1 2. 2 3. 3 4. Cannot be determined

23. If Pakistan won the match against Japan, then what was the outcome of the match

played between South Korea and Japan?

1. South Korea won the match.

2. South Korea lost the match.

3. The match resulted in a draw.

4. Cannot be determined.

24. Consider the following statements:

A. Germany lost the match against Netherlands.

B. Australia lost the match against South Korea.

C. The match between Pakistan and Netherlands was a draw.

D. Netherlands lost the match against Japan.

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Which of the following statements are true?

1. Both B and C 2. Both A and D 3. A, B and C 4. B, C and D

Directions for questions 25 to 28: Answer the questions on the basis of the

following information.

Six international students A,B,C,D,E and F from Italy, Spain, Brazil, Indonesia, France

and New Zealand not necessarily in the same order are sitting around a circular table.

Two of them are facing away from the centre while the rest are facing towards the

centre of the table. It is also known that:

1. The one who is from Spain is sitting to the right of D and is sitting to the left of the

one who is from Italy.

2. E is sitting two places to the right of the one who is from Italy and is himself not from

France.

3. C is sitting opposite to the one who is from France and is sitting to the left of F who

himself is not from Spain.

4. The one from Indonesia is sitting to the right of F and is opposite to A.

5. The one who is from Brazil is to the right of B while the one from Spain and Indonesia

are facing the same direction ( i.e. both are either facing towards the centre or both are

looking away from the centre of the table)

25. Which student is from Indonesia?

1. C 2. E 3. B 4. D

26. To which country does F belong to?

1. Italy 2. New Zealand 3. Brazil 4. Cannot be determined

27. Who was sitting to the right of student who belonged to New Zealand?

1. E 2. B 3. D 4. A

28. The student who was sitting two places to the left of E belonged to which country?

1. France 2. Italy 3. Brazil 4. New Zealand

Directions for questions 29 to 32: Answer the questions on the basis of the

following information.

A new startup company ―Chowggie‖ has target to achieve at least 37.5% return on

Investment every year and in case it does not happen company will invest 25% more

money than it had last year. Company has invested 2048 million for the first time.

29.Return on Investment during first year was 30% and for second year it was 18.75%

then what is the total profit after these two years?

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1. 998.40 million

2. 1094.40 million

3. 1248.50 million

4. 1024.50 million

30.Returns on investment for first three consecutive years were 27%, 33% and

19%.What should be the total investment by the company before start of the fourth

year?

1. 2048 million

2. 2560 million

3. 3200 million

4. 4000 million

31.Company invests total 3000 million before the start of second year, what would have

been return on investment last year?

1. 46.48%

2. 17.18%

3. 50%

4. Cannot be determined

32.What should be the minimum percentage return on investment for the third year so

that the total returns on investment adding all three years must be greater than the

initial investment? It is given that for the first two years returns on investment were

31.25% and 25% respectively.

1. 24%

2. 25%

3. 23%

4. 22%