JIPMAT 2022
Quantitative Ability
- A sum becomes double in 10 years, then what is the annual rate of simple interest?
A. 8%
B. 5%
C. 10%
D. 20%
- 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?
A. 24,000
B. 36,000
C. 12,000
D. 20,000
- Match the quadratic equations in List I with their roots in List II.
List I: A. (6x^{2}+x-12=0) | B. (8x^{2}+16x-10=202) | C. (x^{2}+45x+324=0) | D. (2x^{2}-5x-3=0)
List II: I. ((-6,4)) | II. ((9,36)) | III. ((3,-)) | IV. ((-,))
A. A–I, B–III, C–IV, D–II
B. A–IV, B–I, C–II, D–III
C. A–II, B–IV, C–III, D–I
D. A–III, B–II, C–I, D–IV
- 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)
- If A earns (33%) more than B, then by what percentage does B earn less than A?
A. 66.33%
B. 25%
C. 65%
D. 33.33%
- Which of the following trigonometric identities are true?
A. ({2}41+ {2}49= 1)
B. ({2}60- 2^- {2}30= -1)
C. (^{2}+ = 1)
A. A and B only
B. A and C only
C. B and C only
D. A, B, and C
- 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
C. 15
D. 115
- 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
- The sum of (n)-terms of the sequence (+++) is:
A. ()
B. ()
C. ()
D. ()
- 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?
A. 36
B. 60
C. 108
D. 120
- 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?
A. 12 m
B. 14 m
C. 13 m
D. 11 m
- 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?
A. 2 Years
B. 3 Years
C. 3 Years, 6 Months
D. 4 Years
- 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?
A. 5
B. 2
C. 3
D. 8
- Given the two statements below, choose the correct option.
Statement I: The sum of exponents of prime factors in the prime factorization of 392 is 5.
Statement II: The decimal representation of () will terminate after 2 decimal places.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- If A and B are independent events such that (P(A)=p), (P(B)=2p) and P(exactly one of A,B) = (), which statement is true?
Statement I: (p=)
Statement II: (p=)
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- 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. Which statement is true?
Statement I: Speed of the boat in still water is 12 km/hr.
Statement II: Speed of the stream is 4 km/hr.
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is false but Statement (II) is true.
D. Statement (I) is true but Statement (II) is false.
- 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?
A. 768
B. 906
C. 814
D. 652
- 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.
A. 4 km/hr
B. 8 km/hr
C. 12 km/hr
D. 14 km/hr
- 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.
A. 124
B. 114
C. 128
D. 96
- 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?
A. 6 and 36
B. 4 and 24
C. 5 and 30
D. 7 and 42
- 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?
A. 2 years
B. 16 years
C. 19 years
D. 21 years
- 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. (r)
B. (r)
C. ((-1)r)
D. ()
- If (()) and (()) 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)
- 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:
A. 3
B. 9
C. 6
D. 4
- Match the statistical measures in List I with their values in List II.
List I: A. Mean of first five prime numbers | B. Mean of all factors of 24 | C. Mean of first six multiples of 4 | D. If the mean of (x-5y, x-3y, x-y, x+y, x+3y, x+5y) is 12, then x is
List II: I. 12 | II. 7.5 | III. 5.6 | IV. 14
A. A–II, B–I, C–III, D–IV
B. A–III, B–II, C–IV, D–I
C. A–I, B–IV, C–II, D–III
D. A–IV, B–III, C–I, D–II
- The value of (+) is:
A. (25++2)
B. (40++2)
C. (30++2)
D. (15++2)
- If (a b = 2a - 3b + ab), then what is the value of ((3 ) + (5 ))?
A. 26
B. 24
C. 22
D. 20
- What is the value of ()?
A. 143755
B. 1125
C. 150
D. 500
- Given the two statements below, choose the correct option.
Statement I: In (ABC), if (AB=6) cm, (AC=12) cm and (BC=6) cm, then angle (B=90^{}).
Statement II: In (ABC), if it is an isosceles triangle with (AC=BC) and (AB{2}=2AC{2}), then angle (C=90^{}).
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- Given the two statements below, choose the correct option.
Statement I: If (()=), then the value of (()=).
Statement II: If (()=), then the value of (()=).
A. Both Statement (I) and Statement (II) are true.
B. Both Statement (I) and Statement (II) are false.
C. Statement (I) is true but Statement (II) is false.
D. Statement (I) is false but Statement (II) is true.
- 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?
A. 24
B. 42
C. 36
D. 63
- If (===k), then what is the value of k?
A. ()
B. () or -1
C. -1
D. ()
- 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)
- 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?
A. 1:117
B. 3:70
C. 14:138
D. 12:141
- Total expenditure in 2000 was what percentage of the total expenditure in 2003?
A. 60.03%
B. 81.70%
C. 76.56%
D. 122.39%
- Which year saw the maximum percentage increase in salary over the previous year?
A. 2001
B. 2002
C. 2003
D. 2004
- From the partial data on student results, the number of girls with grade B and grade C are:
A. 5, 30
B. 30, 5
C. 10, 30
D. 30, 10
- The number of girls, boys, and total students is:
A. Girls-40, Boys-45, Total-85
B. Girls-40, Boys-40, Total-80
C. Girls-40, Boys-50, Total-90
D. Girls-40, Boys-35, Total-75
- 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:
A. 5, 10
B. 5, 5
C. 10, 5
D. 10, 10
- The number of boys who have grade B and the number of boys who have grade C are:
A. 25, 10
B. 10, 25
C. 10, 30
D. 30, 10
- 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?
A. Grandfather
B. Mother
C. Uncle
D. Father in law
- Statements: All Sparrows are birds. All birds are mountains. All mountains are skies. Which conclusions logically follow?
- All Sparrows are skies.
- All Skies are birds.
- All mountains are sparrows.
- All birds are skies.
A. Only I and III follow
B. Only II and III follow
C. Only I and IV follow
D. Only II and IV follow
- Choose the missing term in the series: AGDLX, GDLXA, DLXAG, ?, XAGDL, AGDLX
A. LXAGD
B. XAGLD
C. DXAGL
D. GLXAD
- 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?
A. A and C
B. C
C. A
D. D
- According to the pie chart on colored balls (total 1000), how many dark red balls are there in the box?
A. 110
B. 120
C. 130
D. 140
- What is the total number of green balls?
A. 180
B. 170
C. 185
D. 190
- What is the total percentage of orange, yellow and pink balls in the box?
A. 46
B. 47
C. 48
D. 49
- What is the difference between the number of light red balls and the number of dark yellow balls?
A. 15
B. 12
C. 14
D. 17
- What is the ratio of dark pink balls to dark green balls?
A. 6:9
B. 7:8
C. 7:9
D. 6:8
- 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?
A. Jaspreet
B. Rohit
C. Rihanna
D. Blessy
- Complete the series: CEFH, IKLN, OQRT, ?
A. OPQR
B. PRSU
C. POST
D. UWXZ
- Based on the pie chart of student activities (total students = 40), how many participated in mask-making and paper-quilling?
A. 14
B. 12
C. 16
D. 10
- How many students did not participate in the toy-making activity?
A. 16
B. 12
C. 10
D. 28
- How many students participated in the flower-making activity?
A. 12
B. 10
C. 16
D. 20