September 22, 2026
Preparing for IPMAT becomes much easier when you know exactly what to expect on exam day. IPMAT Sample Papers give you a realistic preview of the question types, difficulty level, section-wise pattern, and time pressure you may face in the actual exam. By practising these papers regularly, you can strengthen your concepts, improve calculation speed, identify weak areas, and build a smarter exam strategy.
The IPMAT (Integrated Programme in Management Aptitude Test) is an admission exam for applicants interested in the Indian Institute of Management's (IIM) Integrated Programme in Management.
Prospective students must use all possibilities at their disposal to ensure they are well prepared, as competition for seats is severe.
If IIM Indore is your target, practising an IPMAT Indore Sample Paper can help you get familiar with Quantitative Ability (MCQ), Quantitative Ability (Short Answer), and Verbal Ability questions. Similarly, solving an IPMAT Rohtak Sample Paper helps you practise Quantitative Ability, Logical Reasoning, and Verbal Ability as per the Rohtak exam format.
Read our blog on IPMAT sample papers to know more about it.
Practising IPMAT Sample Papers PDFs is one of the most effective ways to prepare for the exam.
These papers simulate the latest exam pattern, helping you improve speed, accuracy, and time management while identifying your strengths and areas that need more practice before the actual IPMAT exam.
| IPMAT Indore Sample Paper 1 | |
| IPMAT Solved Sample Paper 2 | |
| IPMAT Rohtak Sample Paper 3 |
IPMAT sample papers are computer-based practice tests designed to replicate the exam pattern, difficulty level, and types of questions asked in the actual IPMAT entrance exam.
These sample papers for IPMAT 2027 help aspirants to analyse their current level of preparation by simulating the real exam environment. Regular practice also improves time management, accuracy, and confidence before the actual exam.
Students can reap the following benefits by practising with these IPMAT sample papers.
The IPMAT sample papers also provide insights into the types of questions likely to be asked, the marking scheme, and the important concepts that have been frequently tested in previous years' exams.
Candidates taking the IPMAT 2027 exam should familiarise themselves with the IPMAT exam pattern.
The exam highlights will help students improve their exam preparation.
The essential highlights of the exam pattern and marking scheme of IPMAT are as follows:
| Particulars | Details |
| Examination Mode | Online |
| Total Number of Questions | 90 |
| Examination Duration | 2 hours (40 minutes per section) |
| IPMAT Marking Scheme |
|
Candidates can download the sample IPMAT papers by following the simple steps outlined below:
Below is the list of questions and answers from IPMAT sample papers to begin your preparation:
Q1. 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 colour?
a) 5
b) 8
c) 9
d) 11
Answer: c) 9
Explanation: To ensure that at least 3 balls are of the same colour, you would need to pick a minimum of 9 balls. This is because, in the worst-case scenario, you could pick 2 balls of each color (blue, red, black, and white) and still not have 3 balls of the same color. So, you would need to pick one more ball to ensure that at least 3 balls are of the same colour
Q2. 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
Answer: c) 150
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Explanation: The number of ways in which five balls, each of a different colour, can be distributed to three different persons such that each person gets at least one ball is given by the Binomial expansion expression 3 ^5- 3C1∗2^5+3C2, which equals 150.
Q3. 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
Answer) d) 75
Explanation: The red light flashes every 20 seconds, the green one flashes every 15 seconds, and the yellow one flashes every 10 seconds. The LCM of 10, 15, and 20 is 60 seconds. Therefore, the lights flash together once every minute.
Q4. The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is
a) 30
b) 28
c) 32
d) 26
Answer) d) 26
Explanation: Let’s denote the average height of the original 22 toddlers as h. The total height of the 22 toddlers is then 22h. When two toddlers leave the group, the total height becomes 22h - 2 * (h/3) = 22h - 2h/3. The average height of the remaining 20 toddlers is then (22h - 2h/3) / 20 = h + 2. Solving for h gives h = 26.
Q5. Which of the following values of n provides a counter-example to the statement: “If n is a prime number, then n! + 1 is also a prime number”.
a) 2
b) 3
c) 4
d) 5
Answer) d) 5 (Hit and trial reveal the same)
Read: Toppers Tips to Crack IPMAT 2027
Q6. The Function f(x) = lx-2l + l2.5-xl +l3.6-xl, where x is a real number, attains a minimum at
a) x = 2.3
b) x = 2.5
c) x = 2.7
d) None of the above
Answer) b) x = 2.5
Explanation: The function f(x)=∣x−2∣+∣2.5−x∣+∣3.6−x∣ attains a minimum at the median of the numbers 2, 2.5, and 3.6. So, the answer is (b) x = 2.5.
Q7. If A = [a i j] is a scalar matrix of order n × n such that aii = k for all i, then |A| =
a) nk
b) n + k
c) nk
d) kn
Answer) d) kn
Explanation: This is because a scalar matrix has its diagonal elements equal and all other elements are zero, and the determinant of such a matrix is the product of the diagonal elements. So, the answer is (d) kn
Q8. He is _______ honourable person
a) a
b) an
c) the
d) None
Answer: b) an
Q9. 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
Answer) d) finishes his homework
Q10. The sum of all the solutions of the equation (8)2x−16⋅(8)x+48=0(8)^{2x} - 16\cdot(8)^x + 48 = 0(8)2x−16⋅(8)x+48=0 is:
(a) 1+log6(8)1 + \log_6(8)1+log6(8)
(b) log8(6)\log_8(6)log8(6)
(c) 1+log8(6)1 + \log_8(6)1+log8(6)
(d) log8(4)\log_8(4)log8(4)
Answer: (c) 1+log8(6)1 + \log_8(6)1+log8(6)
Q11. If 93 is replaced by 94, which of the following statements is correct?
(a) I and II only
(b) II and III only
(c) I and III only
(d) I, II, and III
Answer: (b) II and III only
Q12. What does the word "propinquity" mean in the context of the passage?
(a) Remoteness
(b) Diffidence
(c) Reticence
(d) Proximity
Answer: (d) Proximity
Q13. What was the immediate reason that a celestial being like Urvashi had a marriage and a child with a mortal being?
(a) Because she was rescued by the mortal king from an assaulting demon and fell in love.
(b) Because she was ordered by the sage Bharat to spend time with a mortal for her arrogance.
(c) Because she was neglectful in her performance of hedonistic service and cursed by a sage.
(d) Because she was absent-minded in her performance of a divine drama and cursed by a sage.
Answer: (d) Because she was absent-minded in her performance of a divine drama and cursed by a sage.
Q14. A man rows 13 km upstream and 28 km downstream in 5 hours each. The velocity of the stream is:
(a) 2 km/hr
(b) 4 km/hr
(c) 1.5 km/hr
(d) 3 km/hr
Answer: (c) 1.5 km/hr
Q15. How is the Accountant related to F?
(a) Sister-in-law
(b) Sister
(c) Daughter
(d) None of these
Answer: (a) Sister-in-law
Q16. Select the most appropriate synonym of the given word. REPRIMAND:
(a) reproach
(b) reward
(c) eradicate
(d) applaud
Answer: (a) reproach
Q17. If x(b−c)(b+c−2a)=y(c−a)(c+a−2b)=z(a−b)(a+b−2c)x(b-c)(b+c-2a) = y(c-a)(c+a-2b) = z(a-b)(a+b-2c)x(b−c)(b+c−2a)=y(c−a)(c+a−2b)=z(a−b)(a+b−2c), then the value of x+y+zx+y+zx+y+z is:
(a) a+b+ca + b + ca+b+c
(b) 0
(c) a2+b2+c2a^2+ b^2+ c^2a2+b2+c2
(d) Can’t be determined
Answer: (b) 0
Q18. A person sold two refrigerators, each for Rs. 5,060. On one, he gained 10%, and on the other, he lost 8%. Find his overall profit/loss.
(a) Rs. 20 loss.
(b) Rs. 20 profit. (Correct Answer)
(c) Rs. 10 loss.
(d) Rs. 10 profit.
Answer: (b) Rs. 20 profit.
Q19. What is the minimum quantity (in litres) of drink A required if we have to mix two drinks to get a 5-litre solution that contains at least 35% of mineral R?
(a) 1.5 litres.
(b) 2.0 litres.
(c) 2.5 litres. (Correct Answer)
(d) 3.0 litres.
Answer: (c) 2.5 litres
Q20. In the following question, select the option which shows the odd word.
(a) Mustard.
(b) Cumin.
(c) Cinnamon.
(d) Pumpkin.
Answer: (d) Pumpkin
Q21. A circle is inscribed in an equilateral triangle of side length 12. If the area and perimeter of any square inscribed in this circle are m and n, respectively, then m+n2m + n^2m+n2 is equal to:
a) 408
b) 512
c) 360
d) 450
Answer: a) 408
Q22.A trader sells a cell phone for a profit of 10%. If he had purchased it for 25% less and sold it for Rs. 60 more than the actual selling price, he would have gained 50%.
What is the cost price at which he bought the cell phone?
(a) Rs. 1820
(b) Rs. 2000
(c) Rs. 2100
(d) Rs. 2400
Answer: (d) Rs. 2400
Q23. Two athletes, A and B, are running on a 900 m long track from opposite ends. Their speeds are in the ratio of 4: 5. When will they cross each other?
(a) 500 m from A’s end
(b) 400 m from B’s end
(c) 400 m from A’s end
(d) 100 m from A’s end
Answer: (c) 400 m from A’s end
Q24. The number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to:
a) 5
b) 15
c) 35
d) 70
Answer: b) 15
Q25. Which of these is not an area occupied by China with illegal and unverified future claims on India’s territories?
a) Aksai Chin
b) Shaksgam Valley
c) Arunachal Pradesh
d) Nagaland Inner Line Permit area
Answer: d) Nagaland Inner Line Permit area
Solving IPMAT sample papers gives you a better sense of what you may face on the actual exam. They also show you which topics need more practice and how well you can manage questions within the given time. Use these IPMAT sample papers as a regular part of your preparation rather than leaving them for the last few days. Go through your mistakes after every attempt and use them to improve your next one. With steady practice, you can build better speed, accuracy, and confidence for the IPMAT exam.
Check: IPMAT Preparation Strategy 2027
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