12  JIPMAT 2022

12.1 Quantitative Ability

01

A sum becomes double in 10 years, then what is the annual rate of simple interest?

• A8%
• B5%
• C10%
• D20%

02

P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q’s share?

• A24,000
• B36,000
• C12,000
• D20,000

03

Match List I with List II. Choose the correct answer from the options given below:

List I (Quadratic Equation)	List II (Roots)
A. \(6x^{2}+x-12=0\)	I. \((-6, 4)\)
B. \(8x^{2}+16x-10=182\)	II. \((9, 36)\)
C. \(x^{2}+45x+324=0\)	III. \(\left(3, -\dfrac{1}{2}\right)\)
D. \(2x^{2}-5x-3=0\)	IV. \(\left(-\dfrac{3}{2}, \dfrac{4}{3}\right)\)

• AA → (I), B → (III), C → (IV), D → (II)
• BA → (IV), B → (I), C → (II), D → (III)
• CA → (II), B → (IV), C → (III), D → (I)
• DA → (III), B → (II), C → (I), D → (IV)

04

The population of a village is 5000. If in a year, the number of males were to increase by 5% and females by 3% annually, the population would grow to 5202. If M is the number of males and F is the number of females, then (M, F) = ?

• A(3000, 2000)
• B(2800, 2200)
• C(2600, 2400)
• D(2700, 2300)

05

If A earns \(33\frac{1}{3}\%\) more than B, then by what percentage does B earn less than A?

• A66.33%
• B25%
• C65%
• D33.33%

06

Which of the following trigonometric identities are true?

A. \(\sin^{2}(41^\circ) + \sin^{2}(49^\circ) = 1\)
B. \(\sin^{2}(60^\circ) - 2\tan(45^\circ) - \cos^{2}(30^\circ) = -1\)
C. \(\sin^{2}\theta + \dfrac{1}{1+\tan^{2}\theta} = 1\)

Choose the correct answer from the options given below:

• AA and B only
• BA and C only
• CB and C only
• DA, B, and C

07

What is the value of \(m\) for which the polynomial \(x^{4}+10x^{3}+25x^{2}+15x+m\) is exactly divisible by \(x+7\)?

• A-91
• B-101
• C15
• D115

08

The area of a circular playground is 22176 cm². What is the cost of fencing this ground at the rate of ₹50 per metre?

• A₹264
• B₹400
• C₹312
• D₹244

09

The sum of \(n\)-terms of the sequence \(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\dots\) is:

• A\(\frac{1}{n+1}\)
• B\(\frac{1}{n}\)
• C\(\frac{n+1}{n}\)
• D\(\frac{n}{n+1}\)

10

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

• A36
• B60
• C108
• D120

11

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

• A12 m
• B14 m
• C13 m
• D11 m

12

The value of a flat worth ₹500,000 is depreciating at the rate of 10% per annum. In how many years will the value be reduced to ₹364,500?

• A2 Years
• B3 Years
• C3 Years, 6 Months
• D4 Years

13

How many liters of water should be added to a 30-liter mixture of milk and water (ratio 7:3) so that the resultant mixture has 40% water?

• A5
• B2
• C3
• D8

14

Given below are two statements:

Statement I: The sum of exponents of prime factors in the prime factorization of 392 is 5.

Statement II: The decimal representation of \(\dfrac{13}{2^{3}\times 5}\) will terminate after 2 decimal places.

In the light of the above statements, choose the correct answer from the options given below:

• ABoth Statement (I) and Statement (II) are true.
• BBoth Statement (I) and Statement (II) are false.
• CStatement (I) is true but Statement (II) is false.
• DStatement (I) is false but Statement (II) is true.

15

Given below are two statements based on the following:

If A and B are independent events such that \(P(A)=p\), \(P(B)=2p\) and \(P(\text{exactly one of A, B}) = \dfrac{5}{9}\).

Statement I: \(p=\dfrac{1}{3}\)

Statement II: \(p=\dfrac{5}{12}\)

In the light of the above statements, choose the correct answer from the options given below:

• ABoth Statement (I) and Statement (II) are true.
• BBoth Statement (I) and Statement (II) are false.
• CStatement (I) is true but Statement (II) is false.
• DStatement (I) is false but Statement (II) is true.

16

Given below are two statements based on the following:

A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours.

Statement I: Speed of the boat in still water is 12 km per hour.

Statement II: Speed of the stream is 4 km per hour.

In the light of the above statements, choose the correct answer from the options given below:

• ABoth Statement (I) and Statement (II) are true.
• BBoth Statement (I) and Statement (II) are false.
• CStatement (I) is false but Statement (II) is true.
• DStatement (I) is true but Statement (II) is false.

17

The floor of a room is 15 m 17 cm long and 9 m 2 cm broad. What is the least number of square tiles required to pave the floor?

• A768
• B906
• C814
• D652

18

A and B start from the same point to travel 60 km. A’s speed is 4 km/hr slower than B’s. B reaches the destination, starts back immediately, and meets A who is still 12 km away from the destination. Find A’s speed.

• A4 km/hr
• B8 km/hr
• C12 km/hr
• D14 km/hr

19

The LCM of two numbers is 12 times their HCF. The sum of the LCM and HCF is 403. If one number is 93, find the other.

• A124
• B114
• C128
• D96

20

The father’s age is six times his son’s age. Four years hence, the father’s age will be four times his son’s age. What are their present ages?

• A6 and 36
• B4 and 24
• C5 and 30
• D7 and 42

21

Three years ago, the ratio of the ages of Amisha and Namisha was 8:9. Three years from now, the ratio will be 11:12. What is Amisha’s present age?

• A2 years
• B16 years
• C19 years
• D21 years

22

If four identical circles of radius ‘r’ are placed touching each other to form a square, what is the radius of the innermost circle that touches all four circles?

• A\(\frac{\sqrt{2}}{\sqrt{2+1}}r\)
• B\(\frac{1}{\sqrt{2}}r\)
• C\((\sqrt{2}-1)r\)
• D\(\sqrt{2r}\)

23

If \(\sin(\alpha)\) and \(\cos(\alpha)\) are the roots of the equation \(ax^{2}+bx+c=0\), then \(b^{2}\) is:

• A\(c^{2}+2ac\)
• B\(a^{2}+ac\)
• C\(a^{2}+2ac\)
• D\(c^{2}+ac\)

24

If the mean of a, b, and c is M; \(ab+bc+ca=0\); and the mean of \(a^{2}\), \(b^{2}\), and \(c^{2}\) is \(KM^{2}\), then K is equal to:

• A3
• B9
• C6
• D4

25

Match List I with List II. Choose the correct answer from the options given below:

List I	List II
A. Mean of first five prime numbers is	I. 12
B. Mean of all factors of 24 is	II. 7.5
C. Mean of first six multiples of 4 is	III. 5.6
D. If the mean of \(x-5y\), \(x-3y\), \(x-y\), \(x+y\), \(x+3y\) and \(x+5y\) is 12, then \(x\) is	IV. 14

• AA → (II), B → (I), C → (III), D → (IV)
• BA → (III), B → (II), C → (IV), D → (I)
• CA → (I), B → (IV), C → (II), D → (III)
• DA → (IV), B → (III), C → (I), D → (II)

26

The value of \(\frac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2\sqrt{15}}}+\frac{\sqrt{11+2\sqrt{30}}}{\sqrt{6}-\sqrt{5}}\) is:

• A\(25+\sqrt{10}+2\sqrt{30}\)
• B\(40+\sqrt{10}+2\sqrt{30}\)
• C\(30+\sqrt{10}+2\sqrt{30}\)
• D\(15+\sqrt{15}+2\sqrt{30}\)

27

If \(a \times b = 2a - 3b + ab\), then what is the value of \((3 \times 5) + (5 \times 3)\)?

• A26
• B24
• C22
• D20

28

What is the value of \(\frac{325\times325\times325+175\times175\times175}{325\times325-325\times175+175\times175}\)?

• A143755
• B1125
• C150
• D500

29

Given below are two statements:

Statement I: In \(\triangle ABC\), \(AB = 6\sqrt{3}\) cm, \(AC = 12\) cm and \(BC = 6\) cm, then angle \(B = 90^{\circ}\).

Statement II: In \(\triangle ABC\), it is an isosceles triangle with \(AC = BC\). If \(AB^{2} = 2AC^{2}\), then angle \(C = 90^{\circ}\).

In the light of the above statements, choose the correct answer from the options given below:

• ABoth Statement (I) and Statement (II) are true.
• BBoth Statement (I) and Statement (II) are false.
• CStatement (I) is true but Statement (II) is false.
• DStatement (I) is false but Statement (II) is true.

30

Given below are two statements:

Statement I: If \(\sin(\theta) = \dfrac{5}{13}\), then the value of \(\tan(\theta) = \dfrac{5}{12}\).

Statement II: If \(\cot(\theta) = \dfrac{12}{5}\), then the value of \(\sin(\theta) = \dfrac{5}{12}\).

In the light of the above statements, choose the correct answer from the options given below:

• ABoth Statement (I) and Statement (II) are true.
• BBoth Statement (I) and Statement (II) are false.
• CStatement (I) is true but Statement (II) is false.
• DStatement (I) is false but Statement (II) is true.

31

A two-digit number is 7 times the sum of its digits. The number formed by reversing its digits is 18 less than the original number. What is the number?

• A24
• B42
• C36
• D63

32

If \(\frac{a}{b+c}=\frac{b}{c+a}=\frac{c}{a+b}=k\), then what is the value of k?

• A\(\pm\frac{1}{2}\)
• B\(\frac{1}{2}\) or -1
• C-1
• D\(\frac{1}{2}\)

33

The equation of the circle which passes through the point (4, 5) and has its center at (2, 2) is:

• A\((x-2)+(y-2)=13\)
• B\((x-2)^{2}+(y-2)^{2}=13\)
• C\(x^{2}+y^{2}=13\)
• D\((x-4)^{2}+(y-5)^{2}=13\)

12.2 Logical Reasoning

Instructions [34-36]: The following expenditure was incurred by a company under different heads (2000 to 2004).

Year	Salary	Cost of Components	Power	Interest	Taxes
2000	288	296	26.4	12.2	32.0
2001	299	332	28.4	14.2	34.6
2002	298	382	26.2	14.8	38.8
2003	305	410	28.6	15.2	42.4
2004	316	428	32.0	14.3	42.6

34

Based on the table of company expenditure, what is the approximate ratio between total tax paid and the cost of components over all the years?

• A1:117
• B3:70
• C14:138
• D12:141

35

Total expenditure in 2000 was what percentage of the total expenditure in 2003?

• A60.03%
• B81.70%
• C76.56%
• D122.39%

36

Which year saw the maximum percentage increase in salary over the previous year?

• A2001
• B2002
• C2003
• D2004

Instructions [37-40]: A teacher has partial data of the student result:

Sex	Grade A	Grade B	Grade C	Total
Girls				40
Boys	5
Total		30

The other information available is:

1. Half the students have grade A and B
2. 50% of the students are girls
3. \(\dfrac{1}{4}^{\text{th}}\) of boys have grade C

37

From the partial data on student results, the number of girls with grade B and grade C are:

• A5, 30
• B30, 5
• C10, 30
• D30, 10

38

The number of girls, boys, and total students is:

• AGirls-40, Boys-45, Total-85
• BGirls-40, Boys-40, Total-80
• CGirls-40, Boys-50, Total-90
• DGirls-40, Boys-35, Total-75

39

Half the students have grade A or B. The number of girls with Grade A and the total students (girls and boys) with grade A are:

• A5, 10
• B5, 5
• C10, 5
• D10, 10

40

The number of boys who have grade B and the number of boys who have grade C are:

• A25, 10
• B10, 25
• C10, 30
• D30, 10

41

Sheela is Arun’s wife. Deepak is Sheela’s brother. Sunita is Deepak’s wife. Geeta and Mita are Sunita’s children. How is Arun related to Mita?

• AGrandfather
• BMother
• CUncle
• DFather in law

42

Three statements are given. Based on the three statements, four conclusions are given. Consider the three statements as True and decide which of the conclusions logically follow from the statements:

Statements:

All Sparrows are birds.
All birds are mountains.
All mountains are skies.

Conclusions:

1. All Sparrows are skies.
   
2. All Skies are birds.
   
3. All mountains are sparrows.
   
4. All birds are skies.

• AOnly I and III follow
• BOnly II and III follow
• COnly I and IV follow
• DOnly II and IV follow

43

Various terms of an alphabet series are given with one or more terms missing as shown by (?). Choose the missing term out of the given options:

AGDLX, GDLXA, DLXAG, ?, XAGDL, AGDLX

• ALXAGD
• BXAGLD
• CDXAGL
• DGLXAD

44

A and C are good in History and Biology. A is also good in Maths. B and D are good in Physics. A is also good in Chemistry. C and D are good in Chemistry. Who is good in four of these five subjects?

• AA and C
• BC
• CA
• DD

Instructions [45-49]:

Study the following pie chart on coloured balls in a box (total = 1000) and the accompanying light:dark ratio table, then answer the questions that follow.

45

According to the pie chart on coloured balls (total 1000), how many dark red balls are there in the box?

• A110
• B120
• C130
• D140

46

What is the total number of green balls?

• A180
• B170
• C185
• D190

47

What is the total percentage of orange, yellow and pink balls in the box?

• A46
• B47
• C48
• D49

48

What is the difference between the number of light red balls and the number of dark yellow balls?

• A15
• B12
• C14
• D17

49

What is the ratio of dark pink balls to dark green balls?

• A6:9
• B7:8
• C7:9
• D6:8

50

Four friends have different sports they like and are members of different clubs (Dance, Theatre, Eco). Jaspreet likes swimming and is not in the dance club. Rihanna is in the dance club but doesn’t like tennis. Rohit likes badminton but is not in the theater or dance club. Blessy is in the Eco club and doesn’t like swimming or badminton. Who likes badminton and is a member of the Eco club?

• AJaspreet
• BRohit
• CRihanna
• DBlessy

51

Complete the series: CEFH, IKLN, OQRT, ?

• AOPQR
• BPRSU
• CPOST
• DUWXZ

Instructions [52-54]:

Study the following pie chart of student-activity participation (total students = 40) and answer the questions that follow.

52

Based on the pie chart of student activities (total students = 40), how many participated in mask-making and paper-quilling?

• A14
• B12
• C16
• D10

53

How many students did not participate in the toy-making activity?

• A16
• B12
• C10
• D28

54

How many students participated in the flower-making activity?

• A12
• B10
• C16
• D20

55

Pointing to a person in a photograph, Rani said, “He is the only son of the father of my sister’s brother.” How is the person related to Rani?

• AFather
• BSister
• CCousin
• DBrother

56

The next two terms of the series A, C, F, J are?

• AL and P
• BO and U
• CM and R
• DS and U

57

Find the missing term in the series given below: 6, 8, 4, 6, 2, 5, ?, 4.5…

• A8
• B3
• C5/2
• D9/4

58

Using the logic in the figure, find the number that can be inserted in place of ‘?’.

• A343
• B128
• C432
• D341

59

Given the codes: 623=49, 516=62, and 438=89. What is 583?

• A36
• B98
• C65
• D69

60

Find the wrong term in the series given below: 1, 9, 33, 105, 158

• A158
• B105
• C33
• D9

61

A man walks 3 km east from his house, then turns south and walks 4 km, and finally turns west and walks 6 km. How far is he from his starting point?

• A7 km
• B4 km
• C5 km
• D3 km

62

The numbers in the figure given below have been generated using some logic/pattern. Using that logic/pattern, find out the number that can be inserted in place of ?

• A33
• B22
• C18
• D30

63

Which of the following diagrams best indicates the relationship among deer, lion, and animals?

• A

  

  Diagram A

• B

  

  Diagram B

• C

  

  Diagram C

• D

  

  Diagram D

64

Based on the relationship between the first two words on the left side of ‘::’ as given below, choose the correct word in place of ‘?’ to express a similar relationship. Botany : Plants :: Entomology : ?

• AAnimals
• BGerms
• CBirds
• DInsects

65

If + means ÷,÷ means −, − means ×, and × means + then find the value of the following expression: 5−(13−4+2÷6×15÷5)

• A120
• B10
• C28
• D150

66

There is a certain relationship between two given terms on one side of ‘::’ and one term is given on the other side of ‘::’. Find the term that has the same relationship with this term as the terms of the given pairs have. LCQJ : METN :: ABDF : ?

• ABCEG
• BCEFI
• CDEGI
• DBDGJ

12.3 Verbal Ability

67

A person belonging to the same period with another person is called _______

• Apredecessor
• Bcontemptuous
• Ccontemporary
• Dsuccessor

68

Brevity is the soul __________ wit.

• Awith
• Bfor
• Cof
• Doff

69

He broke __________ in the middle of his speech

• Aof
• Bapart
• Cdown
• Dfor

70

The doctor ______ special course of antibiotics on the patient to ______ the disease.

• Aused …. relieve
• Bgave …. fake out
• Cprescribed …. prove
• Dadministered …. combat

71

All we have to fear is fear _______.

• Aourselves
• Bmyself
• Citself
• Dyourself

72

Identify the word which means the same as ‘siftʼ.

• Aexamine
• Bcalamity
• Cworthiness
• Dproblematic

73

I prefer reading a book _______ watching a movie.

• Athen
• Bover
• Cto
• Dagainst

74

Pick out the correct sentence in passive voice of the following sentence: ‘We compelled the enemy to surrender’.

• AThe enemy is compelled to surrender by us.
• BWe compel the enemy to surrender.
• CThe enemy was compelling to surrender by us.
• DThe enemy was compelled to surrender by us.

75

Which of the following sentences is correct?

• AHe was selected the very best player of the tournament.
• BHe was selected the more best player of the tournament.
• CHe was selected the more better player of the tournament.
• DHe was selected the best player of the tournament.

76

Which of the following sentences is correct?

• AThe coach ordered the player to not leave the camp.
• BThe coach ordered the player for not leave the camp.
• CThe coach ordered the player not to leave the camp.
• DThe coach order the player not to leave the camp.

77

Pick out the correctly spelt word:

• Agratitus
• Boccasional
• Cocasional
• Doccasionaly

78

Pick out the part of sentence which has an error. If there is no error mark ‘4ʼ. A) It wasn’t necessary for her B) To take time of work C) when her son was ill

• AA
• BB
• CC
• DNo error

79

Pick out the correct sentence in passive voice of the following sentence: ‘Some boys were helping the wounded man.’

• AThe wounded man was helping some boys
• BThe wounded man was being helped by some boys
• CThe wounded man is helped by some boys
• DThe wounded man was helped by some boys

80

Pick out the part of the sentence which has an error. If there is no error mark ‘4ʼ. A) A white rhinoceros B) is close C) to extinction

• AA
• BB
• CC
• DNo error

81

Which of the following sentences is correct?

• AThough my grandfather is very old but he is very active.
• BMy grandfather is not inactive for his old age.
• CMy grandfather is without activities but his old age.
• DAlthough my grandfather is very old, he is very active.

82

What figure(s) of speech are used in the given sentence? My beloved is like a red red rose.

• ASimile and Metaphor
• BSimile and Alliteration
• CMetaphor and Hyperbole
• DMetaphor and Imagery

83

Fill in the blank with the most appropriate word: When people are _______, as long as they hold fast to their language, it is as if they have the key to their prison.

• Aenslave
• Bunslaved
• Censlaved
• DPrisoners

84

The following sentence is divided into three parts. One of the parts has an error. Identify the part which has an error. If there is no error, mark ‘4ʼ. A) The admission ticket B) entitling her to C) win a prize

• AA
• BB
• CC
• DNo error

85

This question has a sentence with two blanks followed by four pairs of words as choices. From the choices, select the pair of words that can best complete the given sentence: We are truly ______ to the many hands and hearts that made this book ______.

• Aobliged …. plausible
• Bhonoured …. feasible
• Cgrateful …. possible
• Dthankful …. flexible

86

Find out an appropriate synonym for the word ‘Ebullient’:

• AAthletic
• BEnergetic
• CIndolent
• DLethargic

87

Pick out the correct sentence in indirect speech of the following sentence: He said to me, “What are you doing?ˮ

• AHe asked me what he was doing.
• BHe asked me that what I was doing.
• CHe asked me what I was doing.
• DHe asked me why I was doing.

88

Neither of the players ____ adequately prepared for the tournament.

• Aare
• Bis
• Cam
• Dwere

89

No sooner did the chairman _________ than the directors put up their demand.

• Ahad arrived
• Barrived
• Carrive
• Dwill arrive

90

Rearrange the following parts of a sentence in order to make a meaningful sentence: P. for five years, I was sure Q. when I decided to go abroad R. that my grandmother would be upset S. and at her age one could never tell

• ARSPQ
• BPSRQ
• CSPQR
• DQPRS

Instructions [91-94]:

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

Manʼs growth from barbarism into civilization is supposed to be the theme of history. But sometimes, looking at great stretches of history, it is difficult to believe that we are very much civilized or advanced. There is enough of want of co-operation today as we see one country or people selfishly exploiting another. Man in many ways has not made very great progress from other animals. Still, we look down upon the insects as almost the lowest of living things and yet the tiny bees and ants have learnt the art of co-operation and of sacrifice for the common good far better than man. If mutual co-operation and sacrifice for the good of society are the test of civilization, we may say that the bees and ants are superior to man. The old saying goes as follows: “For the family, sacrifice the individual, for the community, the family, for the country, the community, and for the soul, the whole world.ˮ It teaches us the lesson of co-operation and sacrifice for the larger good which we may have forgotten. How wonderful it is to see men and women, and boys and girls smilingly going ahead on the path of progress without caring any pain or suffering? Well, may they smile and be glad for the joy of serving a great cause which is theirs; and for those who are fortunate, comes the joy of sacrifice too.

91

How can we be truly civilized?

• Aby getting more wealth
• Bby getting more power
• Cby getting higher education
• Dby developing qualities of mutual help

92

Animals are superior to men because of their ________

• APhysical strength
• Bgreat instinct for co-operation
• Crude and blind behavior
• Dcarefree life

93

What is the theme of the above passage?

• AThe Rise and Fall of Empires
• BManʼs search for Truth
• CManʼs Moral and Spiritual Development
• DManʼs quest for Idealism

94

What is the basic reason for the exploitation of one man by another?

• AMoral Turpitude
• BLack of Education
• CHigh Ethics
• DWeakness of some people

95

Pick out the correct sentence in indirect narration of the following sentence: He said, ‘How wise I am?’

• AHe exclaimed that I was very wise.
• BHe exclaimed that he was very wise.
• CHe exclaimed that I am very wise.
• DHe regretted that he was very wise.

96

Pick out the antonym of the word ‘dissimulateʼ.

• Aconcrete
• Bcirculate
• Cconcealed
• Dreveal

97

Pick out the correct sentence from the following sentences.

• AHe didnʼt liked to attend the lecture
• BHe hadnʼt like to attend the lecture
• CHe havenʼt liked to attend the lecture
• DHe didnʼt like to attend the lecture

98

Pick out the part of the sentence which has an error. If there is no error, mark ‘4ʼ. A) As I haven’t see all the evidence. B) I am reluctant C) to make a judgement

• AA
• BB
• CC
• DNo error

99

Pick out the antonym of the word ‘jocundʼ.

• Ajealous
• Bcheerful
• Cgloomy
• Doptimistic

100

Rearrange the following parts of a sentence in order to make a meaningful sentence. P. responsible for anything Q. we would be held R. that went wrong S. we were told that

• ARQPS
• BSQRP
• CSQPR
• DPQRS

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