IPMAT Question Papers, Download PDF

IPMAT Question Papers are past exam papers from the Integrated Program in Management Aptitude Test (IPMAT), which is an entrance exam conducted by IIM Indore and IIM Rohtak for admission into their five-year integrated management program. 

These papers help students understand the types of questions asked, the difficulty level, and the important topics to focus on. Solving IPMAT question papers from previous years is very useful for effective exam preparation. 

It helps you get familiar with the exam pattern, improve your problem-solving speed, and build confidence for the real exam. 

IPMAT Question Papers Overview

Before looking at the IPMAT previous year question papers, let's see how the exam has changed. In 2023 and 2024, the IPMAT Indore exam had 90 questions in total. These were divided into three parts: 15 short-answer questions in Quantitative Aptitude, 30 multiple-choice questions in Quantitative Aptitude, and 45 questions in Verbal Ability.

 In 2023, the multiple-choice math questions were of medium difficulty, but in 2024, they became a little harder. The short-answer math questions got easier in 2024 compared to 2023.

 The Verbal Ability questions also became a bit tougher in 2024 but were still mostly easy to moderate. Knowing this helps you get ready before practicing the past papers.

IPMAT Previous Year Question Papers PDF Download

You can download the IPMAT previous year question papers from the table below. These papers will help you practice and get ready for the exam.

Sample Questions from IPMAT Previous Year Question Papers with Solution 

Below are some sample questions taken from IPMAT previous year question papers along with their solutions.

These examples will give you an idea of the type of questions asked in the exam and help you practice effectively.

Q) A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer, both 9 and 8 are wrong and the other digits are correct, then the correct answer would be:

• a) 553681

• b) 555181

• c) 555681

• d) 556581

Ans: C

Q) The odds against a specific event P are 7:4, and the odds in favor of another event Q independent of P are 8:7. The probability that at least one of the events will happen is:

• a) 11/165

• b) 59/165

• c) 116/165

• d) 118/165

Ans: C

Q) The remainder when 75 3 is divided by 37:

• a) 0

• b) 1

• c) 5

• d) 7

Ans: B

Q) If f(x)+f(1+x)+f(2+x)=2x for all real values of x, and f(0)=1, then find the value of f(4)?

• a) 4

• b) 5

• c) 6

• d) 7

Ans: B

Q) Find the equation of the straight line that passes through the points (1,2) and (7,8)

• a) x+y=1

• b) x-y=1

• c) x+y=0

• d) x-y+1=0

Ans: D

IPMAT Sample Questions with Solutions for Quantitative Ability (SA) Section

Below are some sample questions from the IPMAT Quantitative Ability (Short Answer) section with their solutions.

Q) a, b, c, d are digits 1, 3, 5, or 7, with each digit used only once. How many different values of aXb+ cXd can be obtained?

• a) 9

• b) 6

• c) 3

• d) 12

Ans: C

Q) Mohit drew a complex polygon and calculated the sum of its interior angles as 1500 degrees. If he missed counting one angle, what is the measure of that angle?

• a) 210 degrees

• b) 150 degrees

• c) 180 degrees

• d) 0 degrees

Ans: D

Q) f(1)=1, and the following function generates the remaining number of the sequence: f(n+1)-f(n)=n-1. What is the value of f(2018)?

• A) 2,034,861

• B) 2,035,653

• C) 2,033,137

• D) 2,033,066

Ans: C

Q) 405 toffees were distributed equally among children so that the number of toffees received by each child is 20% of the total number of children. How many toffees did each child receive?

• a) 18

• b) 9

• c) 27

• d) 36

Ans: B

Q) A red light flashes 3 times per minute, green flashes 4 times per minute, and yellow flashes 6 times per minute at regular intervals. If all three lights start flashing simultaneously, how many times do they flash together every 75 minutes?

• a) 60

• b) 65

• c) 70

• d) 75

Ans: D

Q) If 𝑙𝑜𝑔32, 𝑙𝑜𝑔3(2𝑥 − 5) and 𝑙𝑜𝑔3(2𝑥 − 7 2) are in Arithmetic Progression, then x is equal to:

• a) 2 

• b) 3

• c) 2 or 4

• d) 2 or 3

Ans: D

Q) The shortest distance between a point on line 3𝑥 + 4𝑦 + 14 = 0 and a point on the circle (𝑥 − 1)² + (𝑦 − 2)² = 4 is:

• a) 2 units

• b) 5 units

• c) 3 units

• d) 4 units

Ans: C

Q) Sum of the roots of the equation 𝑦² + |𝑦 − 1| − 1 = 0 is:

• a) 0

• b) 2

• c) −1

• d) 1

Ans: D

IPMAT Previous Year Question Papers with Answers for Verbal Ability (MCQ) Section

Below are the IPMAT previous year question papers with answers for the Verbal Ability (MCQ) section.

Q) For which one of the following will the drones not be useful to the Navy? 

• a) surveillance

• b) drilling

• c) security of personnel

• d) improved sound navigation range

Ans: B ​​​​​​

Q) Unless he__________he will not be allowed to watch television.

• a) does not finish his homework

• b) will finish his homework

• c) will not finish his homework

• d) finishes his homework

Ans: D

Q) He is ---------honourable person

• a) a

• b) an

• c) the

• d) None

Ans: B

IPMAT Sample Questions for Logical Reasoning and Data Interpretation (LRDI) Section

Below are some sample questions from the IPMAT Logical Reasoning and Data Interpretation (LRDI) section.

Q) A bag has 6 blue balls, 8 red balls, 5 black balls, and 9 white balls. You are asked to pick some balls from the bag without looking into the bag. What is the minimum number of balls you must pick to ensure that at least 3 of them are of the same color?

• a) 5

• b) 8

• c) 9 

• d) 11

Ans: C

Q) The economy of Xiberia consists of exactly two industries: mining and manufacturing. It was expected that the economy would grow by 18% if mining grew by 10% and manufacturing by 20%. However, if manufacturing grew only by 10%, then for the economy to still grow by 18%, mining needs to grow by what %?

• a) 25

• b) 37.5

• c) 50

• d) 62.5

Ans: B

Q) The number of ways in which five balls, each of different colors, can be distributed to three different persons such that each person gets at least one ball is: 

• a) 90 

• b) 120

• c) 150

• d) 180

Ans: B

Q) A survey of 600 students in a school shows that 150 students like both Science and Mathematics, 250 students like Science, and 300 students like Mathematics. How many students like only Mathematics?

• a) 150

• b) 200

• c) 250

• d) 300

Ans: B

Q) A company produces two types of gadgets, A and B. The profit from each gadget A is $3, and from each gadget B is $4. If the company must produce at least 100 gadgets in total and the production of gadget A cannot exceed 80, what is the maximum profit the company can achieve?

• a) $300

• b) $320

• c) $340

• d) $360

Ans: B

Q) In a class of 50 students, 35 students like Pizza, 30 students like Burger, and 15 students like both. How many students do not like either Pizza or Burger?

• a) 5

• b) 10

• c) 15

• d) 20

Ans: B

Q) A family consists of six members P, Q, R, S, T, and U. P and Q are married couples. T is the only child of Q. R is the brother of T. S is the sister of R. U is the husband of S. How is U related to Q?

• a) Brother

• b) Son

• c) Son-in-law

• d) Brother-in-law

Ans: C

Why Are IPMAT Previous Year Question Papers Important?

Here are the benefits of solving IPMAT previous year question papers:

• Each year, the exam pattern might change slightly. By solving past papers, you get a real look at the format how many questions are asked, what sections appear and how questions are divided between MCQs and short answer types.

• IPMAT questions can be tricky and sometimes different from usual tests. Practicing previous papers improves your ability to tackle such questions confidently.

• The exam has a strict time limit. Regularly solving full question papers helps you practice finishing the exam within the given time, avoiding last-minute rush during the actual test.

• Familiarity with the exam format and question styles reduces anxiety on exam day, helping you perform your best.