Q1:

Simple & Compound Interest

Easy

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

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 1

Q2:

Ratio, Proportion & Variation

Conceptual

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?

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 2

Q3:

Quadratic Equations

Easy

List I (Quadratic Equation)List II (Roots)A. 6x2+x−12=0I. (−6,4)B. 8x2+16x−10=202II. (9,36)C. x2+45x+324=0III. (3,−12)D. 2x2−5x−3=0IV. (−32,43)\begin{array}{|c|c|c|} \hline \textbf{List I (Quadratic Equation)} & \textbf{List II (Roots)} \\ \hline \text{A. } 6x^2 + x - 12 = 0 & \text{I. } (-6, 4) \\ \hline \text{B. } 8x^2 + 16x - 10 = 202 & \text{II. } (9, 36) \\ \hline \text{C. } x^2 + 45x + 324 = 0 & \text{III. } (3, -\frac{1}{2}) \\ \hline \text{D. } 2x^2 - 5x - 3 = 0 & \text{IV. } \left(-\frac{3}{2}, \frac{4}{3}\right) \\ \hline \end{array}

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

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 3

Q4:

Percentages

Medium

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

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 4

Q5:

Percentages

Easy

If A earns 3313%33 \frac{1}{3} \% more than B, then percentage B earns less than A will be:

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 5

Q6:

Trigonometry

Easy

Which of the following trigonometric identities are true?

sin⁡2(41∘)+sin⁡2(49∘)=1sin⁡2(60∘)−2tan⁡(45∘)−cos⁡2(30∘)=−1sin⁡2(θ)+11+tan⁡2(θ)=1\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 6

Q7:

Identities

Medium

Which of the following is the value of mm for which the polynomial x4+10x3+25x2+15x+mx^4 + 10x^3 + 25x^2 + 15x + m is exactly divisible by x+7x+7?

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 7

Q8:

Circles

Medium

The area of a circular playground is 22176 cm222176 \ cm^2. What is the cost of fencing this ground at the rate of ₹50 per metre?

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 8

Q9:

Progression & Series

Medium

The sum of n−n- terms of sequence 11×2+12×3+13×4……\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4} \ldots \ldots. Is

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2022 QA question 9

Q10:

Time & Work

Easy

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?

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2022 QA question 10

Q11:

Trigonometry

Conceptual

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

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 11

Q12:

Percentages

Easy

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?

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 12

Q13:

Mixture & Alligation

Easy

How many liters of water should be added to a 3030 liters mixture of milk and water containing milk and water in the ratio 7:37:3 such that the resultant mixture has 40% water in it?

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 13

Q14:

Miscellaneous

Easy

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 1323×5\frac{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:

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 14

Q15:

Probability

Hard

Given below are two statement based on the following

If AA and BB are independent events such that P(A)=p,P(B)=2pP(A)=p, P(B)=2 p and PP (exactly one of A,B)=59A, B)=\frac{5}{9}

Statement I: p=13\mathrm{p}=\frac{1}{3}

Statement II: p=512\mathrm{p}=\frac{5}{12}

In the light of the above statements, choose the correct answer form the question given below

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 15

Q16:

Time, Speed & Distance

Hard

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:

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 16

Q17:

Solids

Medium

Floor of a room is 15 m 17 cm15 \text{ m } 17 \text{ cm} long and 9 m 2 cm9 \text{ m } 2 \text{ cm} broad. What is the least number of square tiles required to pave the floor?

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 17

Q18:

Time, Speed & Distance

Medium

Two persons A and B start from the same point to travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is 60 km60 \text{ km}. Speed of A is 4 km/hr4 \text{ km/hr} slower than B. B, when reaches Ambala, starts back via the same route without taking any rest and meets A who was still 12 km12 \text{ km} away from Ambala. Find the speed of A.

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 18

Q19:

HCF & LCM

Easy

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

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 19

Q20:

Ratio, Proportion & Variation

Easy

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages (in years) of the son and the father are, respectively

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 20

Q21:

Ratio, Proportion & Variation

Medium

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

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 21

Q22:

Circles

Medium

If the radius of each of four outer circles is rr, then the radius of the innermost circle is

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 22

Q23:

Quadratic Equations

Medium

If sin⁡(α)\sin (\alpha) and cos⁡(α)\cos (\alpha) are the roots of the equation ax2+bx+c=0a x^{2}+b x+c=0, then b2b^{2} is

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 23

Q24:

Averages

Medium

If the mean of aa, bb, and cc is MM; ab+bc+ca=0ab + bc + ca = 0; and the mean of a2a^2, b2b^2 and c2c^2 is KM2KM^2, then KK is equal to

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 24

Q25:

Averages

Conceptual

List IList IIA. Mean of first five prime numbers isI. 12B. Mean of all factors of 24 isII. 7.5C. Mean of first six multiples of 4 isIII. 5.6D. If the mean of x−5y,x−3y,x−y,x+y,x+3y and x+5y is 12, then x isIV. 14\begin{array}{|c|c|c|} \hline \textbf{List I} & \textbf{List II} \\ \hline \text{A. Mean of first five prime numbers is} & \text{I. 12} \\ \hline \text{B. Mean of all factors of 24 is} & \text{II. 7.5} \\ \hline \text{C. Mean of first six multiples of 4 is} & \text{III. 5.6} \\ \hline \text{D. If the mean of } x - 5y, x - 3y, x - y, \\x + y, x + 3y \text{ and } x + 5y \text{ is 12, then } x \text{ is} & \text{IV. 14} \\ \hline \end{array}

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

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 25

Q26:

Indices

Hard

5+38−215+11+2306−5\frac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2 \sqrt{15}}}+\frac{\sqrt{11+2 \sqrt{30}}}{\sqrt{6}-\sqrt{5}}

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2022 QA question 26

Q27:

Linear Equation

Easy

If a×b=2a−3b+aba\times b=2 a-3 b+a b,then 3×5+5×33 \times 5+5 \times 3 is equal to

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 27

Q28:

Identities

Medium

The value of 325×325×325+175×175×175325×325−325×175+175×175\frac{325 \times 325 \times 325+175 \times 175 \times 175}{325 \times 325-325 \times 175+175 \times 175} is

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2022 QA question 28

Q29:

Triangles

Medium

Given below are two statements:

Statement I: In △ABC,AB=63 cm,AC=12 cm\triangle A B C, A B=6 \sqrt{3} \mathrm{~cm}, A C=12 \mathrm{~cm} and BC=6 cmB C=6 \mathrm{~cm}, then angle B=90∘B=90^{\circ}

Statement II: In △ABC\triangle A B C, is an isosceles with AC=BCA C=B C. If AB2=2AC2A B^{2}=2 AC^{2}, Then angle C=90∘C=90^{\circ}

In the light of the above statement, choose the correct answer form the question below.

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2022 QA question 29

Q30:

Trigonometry

Easy

Given below are two statement:

Statement I: If sin⁡(θ)=513\sin (\theta)=\frac{5}{13}, then the value of tan⁡(θ)=512\tan (\theta)=\frac{5}{12}

Statement II: if cot⁡(θ)=125\cot (\theta)=\frac{12}{5}, then the value of sin⁡(θ)=512\sin (\theta)=\frac{5}{12}

In the light of the above statements, choose the correct answer form the question below:

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2022 QA question 30

Q31:

Unit Digit

Easy

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

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 31

Q32:

Linear Equation

Hard

If ab+c=bc+a=ca+b=k\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k then value of kk is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 32

Q33:

Circles

Medium

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

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2022 QA question 33

JIPMAT 2022 Quantitative Ability Past Year Question Paper

Every question from the JIPMAT 2022 Quantitative Ability paper is here in full, with the correct answer and a step by step solution for each one. It is completely free, there is no login and no paywall, and you can read the whole paper online or download it to revise offline.

You can also attempt it instead of only reading it. Take the paper as a full length mock under exam conditions, or filter it by topic and attempt just that topic as a topic test. Both are free, and you get a breakdown of your accuracy, your timing and your weak areas once you submit.

JIPMAT past year questions (PYQs) are the closest thing to the real exam, so working through them is the quickest way to learn the paper pattern, the marking scheme and the level of difficulty to expect on the day.