Q1:

Solids

Hard

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5 m2m^{2} is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 1

Q2:

Averages

Medium

In a cricket team of 11 players, the average age is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years, and 30 years respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven years older than the youngest player, then the age of the captain is

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 2

Q3:

Clocks & Calendar

Easy

At what angle the hands of a clock are inclined at 15 minutes past 5?

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 3

Q4:

Percentages

Medium

A man pays 40 times the annual rent to purchase a building. The rate % per annum he derives from his investment is

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2021 QA question 4

Q5:

Quadrilaterals

Easy

In a rhombus, the length of the two diagonals are 40m and 30m respectively. Its perimeter will be

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2021 QA question 5

Q6:

HCF & LCM

Easy

The HCF of (910,1225,1835,2140)(\frac{9}{10}, \frac{12}{25}, \frac{18}{35}, \frac{21}{40}) is

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2021 QA question 6

Q8:

Percentages

Medium

(47)(\frac{4}{7}) of a pole is in the mud. When (13)(\frac{1}{3}) of the pole is pulled out, 250 cm is still in the mud. The length of the pole is

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2021 QA question 8

Q9:

Ratio, Proportion & Variation

Easy

A is working, and B a sleeping partner in a business. A puts in Rs.12000 and B Rs. 20000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600, the money received by A will be

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 9

Q10:

Solids

Medium

A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3m^{3}. The emptying capacity of the pump is 10 m3m^{3} per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank as to fill it. The filling capacity of the pump is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 10

Q11:

Progression & Series

Medium

The value of (19−8−18−7+17−6−16−5+15−4)(\frac{1}{\sqrt{9}-\sqrt{8}} - \frac{1}{\sqrt{8}-\sqrt{7}} + \frac{1}{\sqrt{7}-\sqrt{6}} - \frac{1}{\sqrt{6}-\sqrt{5}} + \frac{1}{\sqrt{5}-\sqrt{4}}) is

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2021 QA question 11

Q12:

Percentages

Easy

A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2021 QA question 12

Q13:

Ratio, Proportion & Variation

Medium

Harish divides two sums of money among his four sons Naresh, Vipin, Bhupesh, and Yogesh. The first sum is divided in the ratio 4:3:2:14:3:2:1 and second in the ratio 5:6:7:85:6:7:8. If the second sum is twice the first, then the largest total is received by

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 13

Q14:

Coordinate Geometry

Medium

If points (t,2t)(t, 2t), (−2,6)(-2, 6) and (3,1)(3, 1) are collinear, then tt is equal to

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 14

Q16:

Time & Work

Medium

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 16

Q17:

Time & Work

Medium

4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2021 QA question 17

Q18:

Profit & Loss

Medium

A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 61847%6 \frac{18}{47}\%. For a kg, he uses a weight of

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2021 QA question 18

Q19:

Time, Speed & Distance

Medium

A man rows 20 km upstream and back again to the starting point in 110 minutes. If the speed of the stream is 2 kmph, then the speed of rowing in still water is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 19

Q20:

Unit Digit

Easy

A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are interchanged. The number is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 20

Q21:

Time, Speed & Distance

Medium

A train with 90 kmph crosses a bridge in 36 s. Another train 100 m shorter crosses the same bridge at 45 kmph. The time taken by the second train to cross the bridge will be

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 21

Q22:

Percentages

Medium

A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 22

Q23:

Mixture & Alligation

Easy

A mixture of alcohol and water contains 35% alcohol by weight. if 25 g water is added to such a mixture of 100 g, then the percentage of alcohol in the mixture is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 23

Q24:

Solids

Hard

One cubic metre of iron weighs 7.800 kg. The weight of iron in a pipe of length 4 m, whose interior and exterior diameters measure 10 cm and 12 cm respectively, is nearly

Answer options
Option Drop
Correct Answer
Explanation for JIPMAT 2021 QA question 24

Q25:

Unit Digit

Easy

The digit in the unit's place of the number represented by (795−758)(7^{95} - 7^{58}) is

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 25

Q26:

Progression & Series

Medium

If the mthm^{\text{th}} term of an arithmetic progression is 1n\frac{1}{n} and the nthn^{\text{th}} term is 1m\frac{1}{m}, then the mnthmn^{\text{th}} term of this progression will be

Answer options
Option 4
Correct Answer
Explanation for JIPMAT 2021 QA question 26

Q27:

Simple & Compound Interest

Medium

A certain sum is lent at a certain rate of compound interest. It grows to 1.44 times its value in 2 years. If the same sum is lent at simple interest at the same rate, in how many years would it double itself?

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 27

Q28:

Circles

Hard

The radius of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is.

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 28

Q29:

Triangles

Hard

ABC is right angled triangle at C. Let BC = a, CA = b and AB = c and let p be the length of perpendicular from C on AB, then cp is equal to

Answer options
Option 2
Correct Answer
Explanation for JIPMAT 2021 QA question 29

Q30:

Trigonometry

Medium

The minimum value of (2sin⁡2θ+3cos⁡2θ)(2 \sin^2\theta + 3 \cos^2\theta) is

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 30

Q31:

Time, Speed & Distance

Hard

A boy covers a certain distance on a toy train. If the train moved 4 kmph faster, it would take 30 minutes less. If it moved 2 kmph slower, it would have taken 20 minutes more. The distance is

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 31

Q32:

Time, Speed & Distance

Medium

In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is

Answer options
Option 3
Correct Answer
Explanation for JIPMAT 2021 QA question 32

Q33:

Indices

Medium

If 2x=3y=6−z2^{x} = 3^{y} = 6^{-z}, then (1x+1y+1z)(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}) is equal to

Answer options
Option 1
Correct Answer
Explanation for JIPMAT 2021 QA question 33

JIPMAT 2021 Quantitative Ability Past Year Question Paper

Every question from the JIPMAT 2021 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.