# CAT Sample Paper

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Cat sample paper

## Content

CopyCat 1402
Section I
1. If two vertices of an equilateral triangle lie on the line 4x -2y +7 = 0 and the third vertex is (1,3). Then the
area of the triangle is1.

2.

2. If x satisfies the equation
1. 47

3.

. Then, the value of
2. 727

4.

is 3. 2207

4. 2027

3. AB is a chord of length 16 units drawn in a circle of radius 17 units. If X is the midpoint of minor arc AB. Then,
the length of the chord AX is
1. 4

2. 8

3. √

4.

4. C1 , C2 , C3 and C4 are four circles of radius 1 unit each. C1 and C2 touch each other while C3 and C4 have a
point of tangency with the midpoint of the line segment C1C2. What is the area of the shaded region i.e. inside C3
and C4 but outside C1 and C2?

1.

2. 2

3.

4. 4

5. If f(x) is decreasing function for all values of x, then values of x for which
f(4x2 +5x +3) > f(2x2+2x+5) isA. -2 <x < 1/2

B. (-∞,2) U ( ½ U ∞)

C. x > -2

D. x > ½

6. Find the length of the segment ‘x’. {Similar arrows on line segments represent parallel lines}

A. 9

B. 12

C. 15

D. 18

7-9: The following pie chart gives the contribution of various types of insurance products to the total profit of
an insurance company

Column1

Casualty
3%

Home
15%
Life Insurance
37%

Health
25%

Auto
13%

Accident
7%

The following bar graph shows total sales revenue for each of the giventype of products
500

sales Revenue( in Rs. crore)

450
400
350
300
250
200
150
100
50

0

sales Revenue in Crore Rs.

Life
Insuranc
e

Accident

Auto

Health

Home

Casualty

450

150

225

300

175

75

Profit = sales Revenue – Expenses
Profitability = Profit/Sales Revenue
Expenses Ratio = Expenses/Sales Revenue
7. which of the following products has the highest Profitability ratio?
A.Life Insurance
B.Accident
C.Health
D.Either ‘a’ or ‘c’
8. If the Expenses Ratio of Auto Insurance is 0.36, then the Profit on Health insurance (in Rs. crore) is
A. 248

B. 288

C. 220

D. 144

9. If the profit of the company is 400 crore Rs. then the expenses on casualty as a percentage of the expenses on
Home insurance are
A.58.25%

B. 56.52%

C. 53.48%

D. 62.12%

10. An Ulta-Pulta number is the one where sum of i th digit from left and ith digit from right is always 10. For
example, 753 is an Ulta-Pulta number as sum of 1st digit from left and 1st digit from right is 7 + 3 = 10 and also
sum of 2nd digit from left and 2nd digit from right is 5 + 5 = 10.
Find the 100th Ulta-Pulta number.
A. 9119

B. 9551

C. 9641

D. 9911

11. A column of people, 10km long, marches at a constant speed in a straight line. A runner starts at the rear of
the column, moves at a constant speed until the front of the column is reached, and immediately turns around
and moves to the back of the column at the same, constant, speed. By this time, the column has moved forward
so that the last person in the column is in the position where the first person was before the runner started.
How far did the column travel when the runner reached front of the column?
A. 5 km

B. 6 km

C. √ km

D.

C. 216 + 1

D. 218 + 1

km

12. Which of the following is a prime number?
A. 212 + 1

B. 214 + 1

13. Find the largest value of the expression
A. 18/7

B. 18/6

where x is a positive real number.
C. 18/5

D. None of these

14. Find the unit digit of (1×2) + (2×3) + (3×4) + (5×6) + …. + (2014×2015).
A. 0

B. 2

C. 6

D. 8

15. Ram, Shyam and Ghanshyam start running towards a circular track from same place and at same time in
same directions but with different speeds. Ram and Shyam meet after every 2 minutes while Shyam and

Ghanshyam meet every 3 minutes. If Ram and Ghanshyam meet after every ‘t’ minutes, then which of the
following cannot be value of ‘t’?
A. 1.2

B. 4.8

C. 6

D. All are possible

50
45
Value( in Rs. '000s)

40
35
30
25
20
15
10
5
0

2008

2009

2010

2011

2012

A

30

30

34

43

45

B

20

25

22

41

35

C

25

35

37

38

40

D

15

12

20

25

38

16 From 2009 to 2012, in how many years did the shares of all the four companies register an increase in price
per share, when compare to the previous year?
A.1

B. 2

C. 3

D. 4

17. Which company showed the highest percentage increase in its price per share during the first four years
starting from 1/1/2008?
A. B

B. C

C. A

D. D

18 . If the price of each share of companies A and B are in the ratio 3:5 on 1st January, 2009, then find the ratio
of the price of each share of A and B as on 1st January 2012?
B.

C.

D.

19. Out of 120 students of a class all of the students engage in at least one of the five games: hockey, football,
cricket, badminton and tennis. It is known that exactly 80 students play cricket, 70 play football, 60 play hockey,
40 play tennis and 20 play badminton. What can be the maximum number of students who play only cricket?
A. 40

B. 48

C. 50

D. None of these

20. What is the diameter of the largest semicircle that can be drawn in a unit square?
A. 1

B. √

C.

D.

21. ABCDEFGH is an octagon where AB = CD = EF = GH = x and BC = DE = FG = HA = y. A circle passes through
all the 8 vertices of the octagon. Find the radius of the circle.

A. √

B. √

C. √

D. √

22. A shopkeeper purchased two lots of oranges, both containing 100 oranges, one for 4 oranges for a rupee and
other for 5 oranges for a rupee. He sold the two lots together for 9 for 2 rupee. What is his overall profit/loss
percentage in the transaction?
A. No Profit/No Loss

B. Loss, 2.1%

C. Profit, 1.8%

D. Loss, 1.2%

23. P(x) is a polynomial with all non negative integral coefficients such that P(1) = 7 and P(10) = 2014. Find the
degree of the P(x).
A. 2014

B. 4

C. 3

D. data insufficient

24. I have four boxes of different integral weights and I calculated the average weight of all possible combinations
of three boxes at a time. The average weights thus obtained are 12, 15, 17 and 20 kilograms. What is the
difference of weights of heaviest and lightest box?
A. 24 kg

B. 20 kg

C. 12 kg

D. 8 kg

25. In a small village Zorcon, all inhabitants have their names as 2-digit numbers where none of the digits is zero
i.e. 12 and 33 are valid names but 40 is not. There are exactly 325 individuals living in Zorcon at present. At least
how many of these have same name?
A. 0

B. 3

C. 4

D. 5

Set 26-28- In Tathagat, out of four subjects which are taught, Each student like atleast one subject. 91% like V.A,
74% like D.I, 93% like L.R, 79% like Q.A.
26
A.

Find the maximum percentage of students who like Exactly 3 subjects?
37%
B. 63%
C. 52%

D. 74%

27Find maximum percentage of students who like atmost two subjects?
A.26%

B. 21%

C. 31%

D. 37%

28. Find maximum no. of students who like atmost one subject?
A.
100%
B. 16%
C. 52%

D. 76%

29. The only real root of x3 – 2014x2 + x – 2014 = 0 is 2014. What is the only real root of (x - 1)3 – 2014(x - 1)2
+ (x - 1) – 2014 = 0?
A. 1

B. 2013

C. 2014

D. 2015

30. A set S has the elements (2,3,4,5,………,140). A subset B is formed from the elements of S such that sum of
no two elements is 170. What is the maximum number of elements that set B can contain?
A. 56

B. 71

C. 84

D. 85

31. How many of first 1000 even numbers can be written as difference of square of non-negative integers?

A. 250

B. 500

C. 750

D. 1000

32. If a watch is set at 1pm and loses 1.5 minutes every two hours, what will it read, on the following day, when it
is actually 1pm?
A. 12.30pm

B. 12.36pm

33. Choose the appropriate option if
A. x > 1

C. 12.40pm

D. 12.42pm

C. x < 0 or x > 1

D. x > -1

.

B. x < 1

34. Every person at a meeting shook hand with every other person present. In all 55 hands were shook. How
many persons were there at the meeting?
A. 8

B. 9

C. 10

D. 11

Set 35-37- A, B, C and D starts playing game with some distinct amount of money. In first round A makes others
money three times, In the 2nd, 3rd and the 4th round B,C,D makes others money three times respectively i.e in 2 nd
round B makes others money three times and so on. After 4th round each left with same amount of money.
35
A.
36
A.

After 4th round, If each left with Rs. 81 , Find initial amount of money A started with?
217
B. 73
C. 27
D. 225
In Question 1, Find total amount of money A,B,C and D started with?
Rs. 12
B. Rs. 324
C. Rs. 36
D. Rs. 81

37 Find the minimum amount each of them left with after 4th round so that after each round each of them left
with integer amount?
A.Rs. 9

B. Rs. 81

C. Rs. 27

D.. Rs. 243

38. From a container containing pure milk, 6 liters are taken out and replaced by another milk solution having
60% purity. Once again 6 liters of the mixture is taken out of the container and replaced by the same milk
solution having 60% purity. Now the container contains a milk mixture with 82.5% purity. What is the total
quantity of the milk in the container?
A. 12 liters

B. 15 liters

C. 18 liters

D. 24 liters

40. At TG School, the QA Club has 15 members and the VA Club has 12. If a total of 13 students belong to only
one of the two clubs, how many belong to both clubs?
A. 2

B.6

C.7

D. 12

41. A bag contains 20 red balls, 20 blue balls, 20 yellow balls and 20 green balls. At least how many balls a
blindfold person should take out of the bag to be certain that he has taken out at least one ball of each colour?
A. 4

B. 5

42 Chaudhary says to Sabu, “When I was

C. 23

D. 61

of your present age, you were

of my present age. If the

present ages of both Chaudhary and Sabu are less than 50 year and are in integers (in years), Find the
maximum sum of their present ages (in years)?
A.70

B. 88

C. 98

D. 77

43 Hitarth has got a certain number of Marbles(less than 5000). If he distributes marbles equally among 8 or 10
or 12 children, he left with 5 or 7 or 9 marbles respectively. But if he distributes equally among 21 children,
he left with no marble. Find the sum of digits of the Maximum possible marbles that he has?
A.21

B. 15

C. 12

D. 23

Set 44-46. The Table gives partial information about the points scored by Hitarth in NHC( National Hastin
Championship), in five different Mind games- Tice, Tance, Tupe, Tigit, Tyanasty
Game

Total
problems

Problem
Attempted

Tice

50

40

Tance

35

Tupe

40

Tigit

45

Tynasty

40

Successful
attempts

35

Failures

Net score

12
24
25

It is also known that,
1. For every successful attempt, Hitarth gets one point and for every unattemped problem he loses 1/5th of a
point and for every failure he loses 1/2th of a point
2. Hitarth scored a total of 108 points and attempted 170 problems
3. Number of failures of Hitarth in Tigit is 1/18th of his total failures and is 1/4th of that in Tance
4. Hitarth Net score in Tance is one more than that in Tupe.
44 What is the net score of Hitarth in Tyansty?
A.17

B. 18

C. 19

D. 20

45 What is the number of successful attempts made by Hitarth in Tance?
A.15

B. 22

C. 24

D. 19

46 Which of the following mind games does Hitarth have lowest net score?
A.Tance

B. Tupe

C. Tynasty

D. Tigit

47 Find the total Interest accumulated If Rs. 3000 is invested at 9% rate of interest, interest being compounded
half yearly for 10 months?
A.Rs. 231.25

B. Rs. 229.05

C. Rs. 270

D. Rs. 225

48 Discount % and Profit % both equals to 20% on a certain article, if it is sold at Rs. 126, Find the Difference
between Marked price and Cost price of an article?
A.
Rs. 50.4
B. 56.50
C. Rs. 63
D. Rs. 52.5
49.Three dice are thrown simultaneously, what are the chances that 5 or 6 comes on atleast one of the die?

A.70%

B. 50%

C. 90%

D. 30%

50.There are five digits 0, 1, 2,3,4. How many 4 digit numbers without repetition can you make which are
divisible by 4?
A.

32

B. 40

C. 36

D. 30

Section II
Directions for questions 1-4: The passage given below is followed by a set of four questions. Choose the most
In the summer of 2014, the United States Supreme Court struck down the Massachusetts law that forbid
protesters from approaching within 35 feet of abortion clinics. The buffer zone law was established in response to
episodes of violence. Not surprisingly, the court based its ruling on the First Amendment—such a buffer zone
violates the right of free expression of those wishing to protest against abortion or who desire to provide unsought
counseling to those seeking abortions.
Though I am a staunch supporter of the freedom of expression, I do recognize that there can be legitimate limits
on this freedom—especially when such limits provide protection to the life, liberty and property of others. While I
do recognize that the buffer zone does serve a legitimate purpose in enhancing safety, I do agree with the court.
The grounds for this agreement is that the harm done to freedom of expression by banning protest in public
spaces exceeds the risk of harm caused by allowing such protests. Naturally enough, I do agree that people who
engage in threatening behavior can be justly removed—but this is handled by existing laws. That said, I do regard
the arguments in favor of the buffer zone as having merit—weighing the freedom of expression against safety
concerns is challenging and people of good conscience can disagree in this matter.
One rather interesting fact is that the Supreme Court has its own buffer zone—there is a federal law that bans
protesters from the plaza of the court. Since the plaza is a public space, it would seem analogous to the public
space of the sidewalks covered by the Massachusetts law. Given the Supreme Court’s ruling, the principle seems
to be that the First Amendment ensures a right to protest in public spaces—even when there is a history of
violence and legitimate safety concerns exist. While the law is whatever those with the biggest guns say it is,
there is the matter of the ethics and this is governed by consistent application.
A principle is consistently applied when it is applied in the same way to similar beings in similar circumstances.
Inconsistent application is a problem because it violates three commonly accepted moral assumptions: equality,
impartiality and relevant difference.
Equality is the assumption that people are initially morally equal and hence must be treated as such. This requires
that moral principles be applied consistently. Naturally, a person’s good or bad actions do affect the initial
equality. Impartiality is the assumption that moral principles must not be applied with partiality. Relevant
difference is a common moral assumption. It is the view that different treatment must be justified by relevant
differences. What counts as a relevant difference in particular cases can be a matter of great controversy. For
example, while many people do not think that gender is a relevant difference in terms of how people should be
treated other people think it is very important.
Given that the plaza of the court is a public space analogous to a sidewalk, then if the First Amendment
guarantees the right to protest in public spaces of this sort, then the law forbidding protests in the plaza is
unconstitutional and must be struck down. To grant protesters access to the sidewalks outside clinics while
forbidding them from the public plaza of the court would be an inconsistent application of the principle.
1. The author would agree that the freedom of expression of a person can be suspended in a situation where
1. he criticizes the government unfairly for policy decisions that have actually been in public interest and have
2. he screams “fire” in a crowded, non-burning theater, causing ruckus and panic in the theater.
3. he smokes uncontrollably despite being at a high risk of smoking-induced life-threatening diseases.
4. he advocates lenient punishment for juvenile rapists on the ground that they are technically not adults and
hence must be tried under much lenient laws.
2. The author of the passage would agree with which of the following statements?
A. A person who commits horrible evil deeds would not be morally equal to someone who does predominantly
good deeds.

B. Proponents of buffer zone have no merit in their case.
C. Buffer zones are in direct contravention with the freedom of expression.
D. It is the sole prerogative of the courts to decide on the matters of laws.
1. A,C and D

2. A and C

3. B,C and D

4. C and D

3. It can be inferred from the passage that
1.
2.
3.
4.

inconsistent application would involve non-impartial application.
buffer zones do not really help in making any private property safer.
the First Amendment guarantees that all citizens be treated equally.
morality varies from person to person and cannot be imposed.

4. Which of the following statements, as per the author, would weaken the conclusion that the author has reached
in the last paragraph?
1. The conclusion violates three commonly accepted moral assumptions and cannot be reconciled.
2. A court plaza is a lot more important than a sidewalk of an abortion clinic in the sense that the former, at any
time, houses higher judiciary members.
3. There is a relevant difference in the two cases and that relevant difference warrants the difference in
application.
4. Government property is exempt from the law that guarantees the right to protest at a public place.
Directions for question 5: The sentences given in the question, when properly sequenced, form a coherent
paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from among the
given choices to construct a coherent paragraph.
5.
A. I can tell this with confidence that not a single person who is not associated with sport can name a female
cricket player who too represents the nation or state in tournaments.
B. At a surface level, the most striking feature of sports is the rigid gender-segregated nature that it maintains.
C. Apart from the exclusion of any gender variant person into the arena, one can hardly name a sport where
women enjoy equal privileges as men.
D. The binary of man-woman, male-female, masculine-feminine with the former always reigning over the latter, is
nowhere, perhaps, perpetuated so rigidly and explicitly as in sport.
E. The media, then, being a partner in crime plays a pivotal role in invisibilizing even the handful of games where
women take part.
1. BDCEA

2. DABDE

3. CBDAE

4. DBCEA

Directions for question 6: 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.
6.
A. In his later writings on technology, which mainly concerns us in this essay, Heidegger draws attention to
technology’s place in our life.
B. He argues that we now view nature, and human beings too, only technologically — that is, we see nature and
people only as raw material for technical operations.
C. Heidegger seeks to illuminate this phenomenon and to find a way of thinking by which we might be saved from
its controlling power, to which, he believes, modern civilization, both in the communist East and the democratic
West, has been shackled.
D. We might escape this bondage, Heidegger argues, not by rejecting technology, but by perceiving its danger.
E. He began his training as a seminary student, but then concentrated increasingly on philosophy, natural science,
and mathematics, recieving a doctorate in philosophy from the University of Freiburg.

1. B,C and D

2. A,B and C

3. C,D and E

4. B and D

Direction for questions 7 – 9: Use following information to answer the questions that follow the information.

Tathagat has five classrooms and the classes take place in the slots 10-12, 12-2, 2-4, 4-6 and 6-8. Five
faculty members i.e. Kamal, Pratyush, Sandeep, Lokesh and Kumar take these classes in these slots in
the five given classrooms. All the faculties take classes in different rooms in different slots. Further
different faculty members teach in a particular room in a given day. It is further known that
1. Pratyush teaches in the first room in the slot of 10-12 while Kumar teaches in the third room from 46 and in the fifth room from 10-12.
2. In the last slot Lokesh and Sandeep teach in fourth and fifth rooms respectively.
3. Kamal takes a lecture just after Pratyush in a room which was neither the first nor the fifth room.
4. The one who teaches in slot of 12-2 in the second room takes a lecture in 6-8 slot in the first room.
5. Sandeep is immediately followed by Lokesh who is just followed by Kumar in the third room. Also
Kumar does not take a class in 12-2 slot in the fourth room.
7. Who takes the class in the second room in the slot 10-12?
1. Lokesh

2. Kamal

3. Sandeep

4. Cannot be determined.

8. In which room does Pratyush teach in the 2-4 slot?
1. Second

2. Third

3. Fourth

4. Fifth

9. In which slot does Kamal teach in the fourth room?
1. 10-12

2. 12-2

3. 2-4

4. 4-6

Directions for questions 10: In the following question, there are four sentences. Each sentence has a pair of
words that are italicized and highlighted. From the italicized and highlighted words, select the most appropriate
words (A or B) to form correct sentences. The sentences are followed by options that indicate the words, which
may be selected to correctly complete the set of sentences. From the options given, choose the most appropriate
one.
10.
A. At first glance two pieces of wood strung together by a length of cord, may not look too fearsome/fearful a
weapon.
B. Taran's intensity did not waiver/waver as he held her gaze.
C. He runs into his former fiancé/fiancée and quietly, hands back all of the letters she had written him over the
years.
D. In most countries a lengthened sojourn/ journey is a condition precedent to naturalization.
1. AAAA

2. ABAA

3. BBBA

4. ABBA

Directions for question 11-12: 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.
11.

1. Russian researchers in the late 1940s kept five people awake for fifteen days using an experimental gas based
stimulant.
2. The test subjects were political prisoners deemed enemies of the state during World War II.
3. They were kept in a sealed environment to carefully monitor their oxygen intake so the gas didn't kill them,
since it was toxic in high concentrations.
4. This was before closed circuit cameras so they had only microphones and 5 inch thick glass porthole sized
windows into the chamber to monitor them.
12.
1.
2.
3.
4.

Ectrodactyly is a rare congenital deformity of the hand.
The term ectrodactyly sounds medically sterile when compared to ‘Lobster Claw Syndrome’.
In this disease the middle digit is missing and the hand is cleft where the metacarpal of the finger should be.
This split often gives the hands the appearance of lobster claws although cases range in severity.

Directions for question 13: In the following questions a word has been used in sentences in four different ways.
Choose the option corresponding to the sentence in which the usage of the word is incorrect or inappropriate.
13.
Play
1. New evidence has been brought into play in the ongoing trial.
2. The umpire says the ball was not in play.
3. It is obvious that you are just playing on fishing for my sake.
4. What is playing at the movie theater around the corner?
Directions for questions 14-16: The passage given below is followed by a set of three questions. Choose the
most appropriate answer to each question.
There are clear lessons to be learned from failed republican movements; movements which have sometimes failed
to secure individual rights and have even resulted in the creation of new tyrannies. But the idea of an economy
and state which serves the common good should not be a novel concept to political theorists of the modern world.
If governments are formed and maintained for the good of each person within a society, it is nothing less than a
breach of mandate to let down the people who depend upon that government to establish and preserve their
economic rights. The true economic right of each person is the right to receive the fruits of the entire economic
system in fair proportion.
In Das Kapital, Karl Marx wrote about placing the means of production back into the hands of the world's workers.
There is no doubt that in this declaration, Marx had, to some extent, a republican agenda; rallying against the
economic rule of a minority over the majority. In this respect, the Russian Revolution of 1917 resembled the
previous revolutions of the Enlightenment which sought to reclaim economic and political power for the people.
But the left-wing ideology that emerged from the Russian Revolution was an ideology that undermined certain
republican principles. Primarily, it destroyed individualism and sought to place the welfare of society as a whole
above that of individual members of that society. Similarly to Napoleonic France, the production power seized
from the Tsarist and Jacobin regimes was simply put to another use - nationalistic supremacy.
One only has to compare the prohibition of freedoms in both societies, and the millions of people who were forced
into warfare for them to reflect that following these revolutions, workers were not freed and the ideal of 'liberty,
egality, fraternity' was quickly abandoned. In these societies, as in socialist Britain for a while, the concept of
labour was promoted, even given a heroic quality. Miners continued to mine with hunched backs and blackened
faces, railways continued to be laid and industrial capacity was increased - for the benefit of society perhaps, but
not for the individual worker. George Orwell pointed out the hypocrisy of exemplifying labour for the good of a
society at the detriment of that society's workers.

The alternative economic view presents itself in favour of individual economic liberty. This laissez-faire, freemarket ideal of capitalism seeks to allow the market to flourish through less government interference: the market
would regulate itself, according to proponents, by the principles of supply and demand. It was believed that if a
company provided a product of inadequate quality or at excessive cost, shoppers would simply go elsewhere. This
simplistic and sociologically naive concept contributed to the political drive to deregulate economies during the
1980s, a drive which continues to the present day (shrugging off the small road-bump of the collapsing financial
institutions for example.)
The flaws of both of laissez-faire and socialism are already well known, even if, in the present day, we often find
the exaggeration of the latter. In Britain, America and much of the rest of the developed world too, some areas of
the free market (particularly those of privatised public services) have been conquered by a handful of large
corporations - a state of monopoly that can cause severely detrimental effects to prices and the quality of services
provided from a consumer point of view.
14. The paragraph following the last paragraph of the passage is most likely to talk about
1. the problem of laissez-faire economies
2. the flaws of socialist economies
3. the problems of monopoly
4. the decrease in quality of services
15. By the statement “ the Russian Revolution of 1917 resembled the previous revolutions of the
Enlightenment” the author wants to
1.
2.
3.
4.

highlight the republican agenda of Karl Marx.
emphasise that the minority ruled over the majority.
underscore giving power back to people.
show the importance of the means of production.

16. According to the passage, Laissez-faire led to
1.
2.
3.
4.

a reduction of governmental interference in some economies.
an increase in capitalism in flourishing markets.
a shift towards deregulated markets.
collapsed financial institutions in some countries.

Direction for questions 17 – 19: Use following information to answer the questions that follow the information.
In a family of 7 members, there are three generations, 3 married couples and 3 sons. Each of these members
pursues different hobbies from painting, gardening, reading, travelling, dancing, singing and cooking. It is also
known that
1. A is the wife of the one who likes singing and is the mother-in-law of the one whose hobby is gardening.
2. B likes to paint and is the father-in-law of the one who likes to read.
3. None of the females like to dance and G is the uncle of the one who likes to travel.
4. F is a female who is the daughter-in-law of the one whose son is G.
17. Who likes to cook?
1. D

2. A

3. G

4. F

18. If C is the son of one who loves to paint, then who loves to sing?
1. E

2. D

3. F

4. Cannot be determined

19. Which of the following statements is sufficient to determine the hobby of D?
1. E likes to travel.
2. C is the grandson of the one who likes to sing.
3. D is a female.
4. F is the daughter-in-law of E.
Directions for questions 20: In the following question, there are four sentences. Each sentence has a pair of
words that are italicized and highlighted. From the italicized and highlighted words, select the most appropriate
words (A or B) to form correct sentences. The sentences are followed by options that indicate the words, which
may be selected to correctly complete the set of sentences. From the options given, choose the most appropriate
one.
20.
A. A woman could not forebear/ forbear declaring openly that her faith had saved her.
B. Her positivity is very naïve/knave. It is foolish of her to hope that her husband must have survived the
horrid plane crash.
C. To the emperor Nicholas this was paramount/tantamount to a declaration of war; and in effect it was so.
D. The thief skulked/sulked in the shadows.
1. AAAA
2. BABA
3. BAAA
4.BBBB
Directions for questions 21-24: The passage given below is followed by a set of four questions. Choose the
most appropriate answer to each question.
The philosophical discussion regarding love logically begins with questions concerning its nature. This implies that
love has a “nature,” a proposition that some may oppose arguing that love is conceptually irrational, in the sense
that it cannot be described in rational or meaningful propositions. For such critics, who are presenting a
metaphysical and epistemological argument, love may be an ejection of emotions that defy rational examination;
on the other hand, some languages, such as Papuan, do not even admit the concept, which negates the possibility
of a philosophical examination. In English, the word “love,” which is derived from Germanic forms of the
Sanskrit lubh (desire), is broadly defined and hence imprecise, which generates first order problems of definition
and meaning, which are resolved to some extent by the reference to the Greek terms, eros, philia, and agape.
The term eros is used to refer to that part of love which constitutes a passionate, intense desire for something; it
is often referred to as a sexual desire, hence the modern notion of “erotic” (Greek erotikos). In Plato‘s writings
however, eros is held to be a common desire that seeks transcendental beauty-the particular beauty of an
individual reminds us of true beauty that exists in the world of Forms or Ideas. The Platonic-Socratic position
maintains that the love we generate for beauty on this earth can never be truly satisfied until we die; but in the
meantime we should aspire beyond the particular stimulating image in front of us to the contemplation of beauty
in itself.
The implication of the Platonic theory of eros is that ideal beauty, which is reflected in the particular images of
beauty we find, becomes interchangeable across people and things, ideas, and art: to love is to love the Platonic
form of beauty-not a particular individual, but the element they posses of true (Ideal) beauty. Reciprocity is not
necessary to Plato’s view of love, for the desire is for the object (of Beauty), than for, say, the company of
another and shared values and pursuits.
Many in the Platonic vein of philosophy hold that love is an intrinsically higher value than appetitive or physical
desire. Physical desire, they note, is held in common with the animal kingdom. Hence, it is of a lower order of
reaction and stimulus than a rationally induced love—that is, a love produced by rational discourse and exploration
of ideas, which in turn defines the pursuit of Ideal beauty. Accordingly, the physical love of an object, an idea, or a

person in itself is not a proper form of love, love being a reflection of that part of the object, idea, or person, that
partakes in Ideal beauty.
In contrast to the desiring and passionate yearning of eros, philia entails a fondness and appreciation of the other.
For the Greeks, the term philia incorporated not just friendship, but also loyalties to family and polis-one’s political
community, job, or discipline. Philia for another may be motivated, as Aristotle explains in the Nicomachean
Ethics, for the agent’s sake or for the other’s own sake. The motivational distinctions are derived from love for
another because the friendship is wholly useful as in the case of business contacts, or because their character and
values are pleasing (with the implication that if those attractive habits change, so too does the friendship), or for
the other in who they are in themselves, regardless of one’s interests in the matter. The English concept of
friendship roughly captures Aristotle’s notion of philia, as he writes: “things that cause friendship are: doing
kindnesses; doing them unasked; and not proclaiming the fact when they are done”
Aristotle elaborates on the kinds of things we seek in proper friendship, suggesting that the proper basis
for philia is objective: those who share our dispositions, who bear no grudges, who seek what we do, who are
temperate, and just, who admire us appropriately as we admire them, and so on. Philia could not emanate from
those who are quarrelsome, gossips, aggressive in manner and personality, who are unjust, and so on. The best
characters, it follows, may produce the best kind of friendship and hence love: indeed, how to be a good character
worthy of philia is the theme of the Nicomachaen Ethics. The most rational man is he who would be the happiest,
and he, therefore, who is capable of the best form of friendship, which between two “who are good, and alike in
virtue” is rare . We can surmise that love between such equals-Aristotle’s rational and happy men-would be
perfect, with circles of diminishing quality for those who are morally removed from the best. He characterizes such
love as “a sort of excess of feeling”.
Friendships of a lesser quality may also be based on the pleasure or utility that is derived from another’s
company. A business friendship is based on utility–on mutual reciprocity of similar business interests; once the
business is at an end, then the friendship dissolves. This is similar to those friendships based on the pleasure that
is derived from the other’s company, which is not a pleasure enjoyed for who the other person is in himself, but in
the flow of pleasure from his actions or humour.
The first condition for the highest form of Aristotelian love is that a man loves himself. Without an egoistic basis,
he cannot extend sympathy and affection to others. Such self-love is not hedonistic, or glorified, depending on the
pursuit of immediate pleasures or the adulation of the crowd, it is instead a reflection of his pursuit of the noble
and virtuous, which culminate in the pursuit of the reflective life. Friendship with others is required “since his
purpose is to contemplate worthy actions… to live pleasantly… sharing in discussion and thought” as is appropriate
for the virtuous man and his friend. The morally virtuous man deserves in turn the love of those below him; he is
not obliged to give an equal love in return, which implies that the Aristotelian concept of love is elitist or
perfectionist: “In all friendships implying inequality the love also should be proportional, i.e. the better should be
more loved than he loves.” Reciprocity, although not necessarily equal, is a condition of Aristotelian love and
friendship, although parental love can involve a one-sided fondness.
21. It can be inferred from the passage that according to Plato and Socrates
1.
2.
3.
4.

our love for something beautiful cannot be satisfied rationally.
the ideal beauty can be found merely in images or forms.
the terms 'erotic' comes from the root word 'eros'.
true love has a 'nature' like all other things we observe.

22. According to the passage, the term 'philia' means all of the following except
1.
2.
3.
4.

loyalty
friendship
fondness
carnal desire

23. It can be inferred from the passage that
1.

parental love is one-sided and is different from the love between friends.

2.
3.
4.

mutuality is the precondition of love, according to Aristotle.
the happiest person is someone who is most logical.
friendships can be categorised in different orders.

24. A suitable title of the passage can be
1.
2.
3.
4.

Love and the Greek Philosophers
Philosophy of Love
Different Forms of Love
The Anatomy of Love

Directions for questions 25-27: The following question has a sentence/sentences with two blanks. Given below
the question are four pairs of words. Choose the pair that best completes the sentence/sentences.
25. We were not fooled by his ____ arguments; his plan obviously could not be justified. That even he was ____
with his own reasoning was apparent from his unenthusiastic demeanor.
1. sympathetic, confused
2. logical, puzzled
3. clever, unconvinced
4. cunning, unsure
26. Rock music has often been credited with containing ______ messages, purportedly to influence the minds of
____ listeners.
1. serious, diehard
3. hidden, devout
4. subliminal, unsuspecting
27. Taking antibiotics for a viral infection may, it is true, be ______ ; however, in certain cases a course of these
drugs can actually ward off _______bacterial infections.
1. futile, necessary
2. recommended, harmful
3. unjustified, unnecessary
4. ineffective, opportunistic
Directions for question 28: In the following questions a word has been used in sentences in four different ways.
Choose the option corresponding to the sentence in which the usage of the word is incorrect or inappropriate.
28.
Take
1.
2.
3.
4.

The detective took after the burglars.
She said she would never take him back again.
Millions were taken off by the Black Plague.
He takes it over in goods instead of cash.

Directions for question 29-30: 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.
29.
A. The United States needs a new vision of climate policy that deals soberly with both scientific as well as political
realities.
B. Although the environmental movement has arguably done the world a great service in popularizing scientific
findings about climate change, its climate policy response is quixotic.
C. Where careful weighing of outcomes and risks is called, it scorns the use of cost-benefit analysis.

D. Despite high uncertainty about how climate change will affect the United States, most environmental groups
are trying to narrow our range of options to a strategy that amounts to stringent energy austerity.
E. Faced with a problem that demands great suppleness, their main response is to engorge the administrative
state.
1. A and D

2. B,C and E

3. A and C

4. B and D

30.
A. I ate apple pie with loggers at remote camps, watched paper mills shred and digest trees and
B. refashion them into newsprint, walking in the woods with foresters to see big trees falling
C. and little ones rising, listened to the heartbreak of landowners whose trees were being killed
D. by native insects and ecologists who saw fecund streams devastated by airborne poison.
1. B and D

2. A and C

3. C and D

4. A and B

Direction for questions 31 – 32: Use following information to answer the questions that follow the information.
Hanu, Manu and Tanu are playing a game in which each of them throws a die in a single round. They play five
rounds. None gets the same score in any other throw and no one gets the same score in a single round.

Hanu
Manu
Tanu

1st Round
1 or 3
4 or 1
2 or 4

2nd Round
5 or 6
6 or 5
4 or 6

3rd Round
1 or 3
2 or 5
1 or 3

4th Round
2 or 5
3 or 6
5 or 2

5th Round
6 or 3
5 or 3
4 or 1

31. What is the maximum sum of scores that Manu can obtain?
1. 26

2. 20

3. 17

4. 25

32. Who got the minimum total score?
1. Hanu

2. Manu

3. Tanu

4. Cannot be determined

Directions for question 33: 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.
33.
1. The biological usefulness of yogurt is generally well accepted.
2. It can even be consumed by those with lactose intolerance.
3. However, most yogurt advertisements emphasise on its improvement of the digestive process.
4. Obviously yogurt has negative biological consequences too.
Directions for Question 34: The following question has a paragraph from which the last sentence has been
deleted. From the given options, choose the sentence that completes the paragraph in the most appropriate way.
34.
Whenever things go wrong in life, we can generally do something to set them right. But when death strikes, there
is nothing that we can do to set it right; the finality of death is terrifying. All that we try, cry, lie and die for is
taken away from us in one merciless moment. By taking away the option to set things right, death forces a
blessing on us; it compels us to see things right. When we choose to let our sense of self-identity be tied down to
our bodies, we suffer the horror of death.
1. But it is best if we accept this blessing by seeing death take its toll around us because if we postpone that
blessing till death comes upon us, it may well be too late.

2. We are destined for immortality by our intrinsic nature, but are sentenced to mortality by our inconsiderate
choice as our material bodies are unavoidably time-bound
3. Thus it forcefully offers us a blessing far greater than that offered by a prolonged and prosperous life full of
luxuries and comfort.
4. But when we recognize our true identity, we see death not as an unwelcome termination of our being, but as a
welcome transition to a higher realm of being.
Direction for questions 35: Use following information to answer the questions that follow the information.

35. There are 10 coins placed on a table such that 3 of them are show heads while the remaining show
tails. A move is defined as flipping two coins together compulsorily. Then, the minimum number of
moves required so that all the coins are either showing heads or tails is?
1. 2

2. 3

3. 4

4. Not possible

Directions for question 36-37: The sentences given in the question, when properly sequenced, form a coherent
paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from among the
given choices to construct a coherent paragraph.
36.
A. Reductionism destroys rationality too.
B. Thus, reductionism sentences our rationality – and consequently our science – to the scrapheap of irrationality.
C. If our mind is unreliable, and reductionism gives us no reason to believe otherwise, then whatever beliefs our
mind comes up with are also unreliable.
D. Thus, reductionism reduces, even ruins, its own reliability.
E. As reductionism and scientism are beliefs coming from an unreliable mind, they too have the warning tag:
unreliable.
1. ECDAB

2. CDEAB

3. CEDAB

4. EDACB

37.
A. And the precondition is that we have minds capable of such rational contemplation.
B. Ironically, scientism makes it impossible for us to be scientific.
C. That is the misleading claim not of science, but of scientism.
D. Does science make it impossible for one to be spiritual?
E. The presumption is that nature has a rational order discernable through human investigation.

2. BDCEA

3. DBCEA

4. DCBEA

Directions for questions 38: In the following question, there are four sentences. Each sentence has a pair of
words that are italicized and highlighted. From the italicized and highlighted words, select the most appropriate
words (A or B) to form correct sentences. The sentences are followed by options that indicate the words, which
may be selected to correctly complete the set of sentences. From the options given, choose the most appropriate
one.
38.
A. The construction work can be completed with the help of labour machines, provided that such machines as are
unexceptional (A)/ unexceptionable (B) in their construction can be procured.
B. The teacher tried to make conversation, but the boy remained reticent (A)/ reluctant (B) and refused to
make eye contact.
C. It is a much better policy to prophecy (A)/prophesy (B) after the event has already taken place.
D. In 1930, an English photographer accompanied Mahatma Gandhi and his band of followers during their historic
(A)/historical (B) march to Dandi.
1. BBBA

2. ABAA

3. BABB

4. BABA

2.
Direction for questions 39 – 41: Use following information to answer the questions that follow the information.
Four husbands X1, X2, X3 and X4 and their wives Y1, Y2, Y3 and Y4, not necessarily in the same order, are sitting
around a rectangular table as shown in the figure:

Further it is known that in every row 2 males and 2 females are sitting while none of the husband is sitting next to
or directly opposite to his wife. X3 is at the extreme end and is opposite to the wife of X2. Y3 sits between X4 and
the husband of Y4 while X1 is the husband of Y3.
39. Who is the husband of Y4?
1. X2

2. X3

3. X4

4. Cannot be determined

40. Who is sitting directly opposite to X4?
1. Y3

2. Y4

3. X1

4. Cannot be determined

41. If Y1 is not sitting next to X1 , then who is sitting directly opposite to Y1?
1. Y3

2. X4

3. X2

4. Y2

Directions for Question 42-43: The following question has a paragraph of which the last line is incomplete.
From the given options, choose the sentence that completes the sentence in the most appropriate way.
42.
Looking at lots of different options can mislead us as to the importance of various features. We end up thinking
small differences may have a big impact when the truth is that most of the options will end up having no
difference in our enjoyment of the item six months from now. From this perspective, comparison shopping may
focus consumers’ attention on differences between available options, leading them to overestimate the hedonic
impact of selecting a more versus less desirable option. To the extent that the process of comparison shopping
focuses attention on hedonically irrelevant attributes,
________________________
1. it would be worthwhile to consider how much would be the utility of the option that we are considering.
2. comparison shopping may even lead people to choose a less desirable option over a more desirable option.
3. it could eliminate the desire for a particular feature that we wanted in the first place.
4. comparison shopping would make you crave more for the option that you rejected rather than the one you
opted for.
43.

We human beings have an intelligence more advanced than that of our non-human fellow beings. This developed
intelligence enables us to think beyond the immediate issues that occupy the animal world – eating, sleeping,
mating and defending – to the ultimate issues – the meaning and purpose of our existence, the source of creation,
the ultimate goal of life, for example. Of course, these issues deal with a realm that is invisible and intangible, but
that does not make these issues insubstantial or insignificant. In fact, those who consider these issues to be
insubstantial and insignificant _______________
1. are sufferers of a chained mentality that is largely the specter of symptoms of our underlying disease of
materialism.
2. form a bridge that takes them from the visible to the invisible, the material to the non-material, from the
mundane to the divine.
3. sentence themselves to an insubstantial and insignificant existence that is not much different from that of the
animals, being devoted to mostly animalistic pleasures.
4. develop in themselves the courage to think beyond the immediate issues and strive to discover the true
purpose of our existence and being.
Directions for questions 44-46: The passage given below is followed by a set of three questions. Choose the
most appropriate answer to each question.
The rising success of companies such as Airbnd and Uber has created considerable interest in what has been
called the sharing economy. The core idea behind the sharing economy is an old one: people provide goods and
services as individuals rather than acting as employees or businesses. One classic example of this is paying a
neighborhood kid who mows lawns. Another classic example is paying a friend’s gas money for a ride to the
airport. The new version of the sharing economy does make some changes to the traditional model. The
fundamental difference is that the old sharing economy was typically an informal word-of-mouth system while the
new sharing economy is organized by companies. As an example of the new sharing economy, you might use the
Uber app to get a chipper soccer mom to give you a ride to the airport in her mini-van. Unlike the old sharing
economy, the companies that connect people get a cut of the proceeds—which can be justified by the services
they provide.
The new sharing economy has received considerable praise, mainly due to the fact that it makes it easier for
people to make money in what are still challenging economic times. For example, a person who would be hard
pressed to get a job as a professional cabbie can easily drive for Uber. However, it has also drawn considerable
criticism too. As might be suspected, some of the most vocal critics of the sharing economy are the people whose
livelihoods and profits are threatened by this economy. For example, Uber’s conflicts with taxi services routinely
make the news. Some people dismiss these criticisms as the usual lamentations of obsolete industries while others
regard the criticisms as having legitimacy.
One point of concern is regulation. As it now stands, the sharing economy is exploiting the loopholes that exist in
the informal economy. For example, professional cab drivers are subject to a fairly extensive set of regulations
while an Uber driver is not. As another example, the hotel industry is regulated while services like Airbnb currently
lack such regulations regarding things such as safety and handicap access. Some proponents of the free market
might praise the limited regulation and this praise might have some merit—after all, it has long been contended
that regulation impedes profits. However, there are at least two legitimate concerns here.
One is, obviously enough, the matter of fairness. If people operating under the traditional economy, such as taxi
drivers and hotels, are subject to strict regulations that also involve additional costs, then it hardly seems fair that
companies like Uber and Aibnd can offer the same services while evading these regulations. The solution thus is to
impose strict regulations on the sharing economy. The second is the matter of safety and other concerns of the
public good. While some regulations might be seen as burdensome, others clearly exist to protect the public from
legitimate harms. For example, hotels are held to certain standards of cleanliness and safety. As another example,

taxi companies are subject to regulations aimed at protecting the public. If the new sharing economy puts people
at risk in similar ways, then it seems reasonable to impose comparable regulations on the sharing economy. After
all, whether you are getting a hotel room or going through Airbnb, you should have a reasonable expectation that
you will not perish in a fire due to safety issues.
It might be countered that the new sharing economy should still fall under the standards of the old sharing
economy. For example, if I ask a friend to take me to the airport and she has an awful car and is a terrible driver,
it is hardly the business of the state to regulate my choice (although the state would have the right to address any
actual traffic violations). As another example, if I crash on someone’s couch for the night, it is hardly the business
of the state to make sure that the couch is properly cleaned and that the house is suitable.
44. Under old version of the sharing economy
your neighbour would recommend to you the teenager she hired to babysit her kids.
You would find someone to work as a part time helper at you home through a simple posting on Facebook.
a simple Watsapp group would help you find the people willing to take up the job you need done.

1.
2.
3.
4.

45. An alternate solution to the first legitimate concern raised in response to the praise for the limited regulation
of the sharing economy is
1.
2.
3.
4.

to
to
to
to

set up an independent body to formulate rules for the companies operating under the sharing economy.
sensitise people on the costs associated with the regulations on the traditional economy.
have a clear demarcation between the traditional and the sharing economy.
reduce the regulations and restrictions on the traditional economy.

46. Which of the following is true as per the above passage?
A. The old sharing economy charged neither the service provider nor the service consumer for connecting them.
B. The new sharing economy has helped some people to earn when in the absence of the new sharing economy
they may have earned less.
C. There is certainly controversy regarding this new sharing economy.
D. Some companies do operate in something of a hybrid mode, i.e. partly on old sharing economy model and
partly the new one.
1. A, B and C

2. A and C

3. B,C and D

4. A, B and D

Directions for question 47: In the following questions a word has been used in sentences in four different ways.
Choose the option corresponding to the sentence in which the usage of the word is incorrect or inappropriate.
47.
Pull
1. He tried to pull away from his opponent's powerful grip.
2. The car pulled on into traffic and soon disappeared.
3. The ship pulled out of the harbour.
4. The police officer asked the driver to pull over.
Direction for questions 48 – 50: Use following information to answer the questions that follow the information.
Six teams Australia, Germany, England, Netherlands, Korea and Pakistan participated in a Hockey tournament in
which each of these teams played one match against each other. Also, none of the matches resulted in a draw.
There was one team that won all the matches while there were 3 teams with the same number of wins. It is also
known that:
1. Germany lost the match against Netherlands while Pakistan won against Australia.
2. England lost the match against Korea as well as Germany but won against Pakistan.

3. Korea lost more number of matches than Germany.
48. The number of matches won by Pakistan is
1. 0

2. 1

3. 2

4. 3

49. Which of the following is true?
1. Germany lost the match against Australia.
2. Korea won the match against Germany.
3. England won the match against Australia.
4. Australia didn’t win against Pakistan.
Consider the following statements:
A. There was a team that lost all the matches.
B. Pakistan won more number of matches than Australia.
C. England lost the match against a team which lost the match against a team which lost the match against
England.
50. Which of the following statements are false?
1. Only A
2. Both A and B
3. Both B and C
4. All the statements are false

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