Download IPMAT Sample Paper with Solutions [PDF]

Overview: Studying IPMAT sample papers enhances your exam preparation. It helps one to learn the format and techniques for time management and problem-solving. Discover the secrets to success and learn how to get into India's top management school. 

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 access to ensure they are well prepared, as competition for seats is severe. The IPMAT sample paper with solution is one such beneficial tool. 

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Understanding IPMAT Sample Papers 

IPMAT sample papers are computer-based tests that are designed to replicate the pattern, difficulty level, and type of questions presented on the actual IPMAT entrance exam.

These IPMAT exam sample papers are essential in assisting applicants in determining their present level of preparation by imitating the actual exam scenario.

Students can reap the following benefits by practicing with these IPMAT sample papers.

• Identify their strong and weak points in various subjects. 
• Get accustomed to the exam's format and time constraints. 
• Develop strategies to manage their time more effectively during the actual test. 
• Enhance their problem-solving speed and accuracy. 
• Reduce the likelihood of making errors in the real exam. 

The IPMAT sample papers additionally highlight the types of questions that are likely to be asked, the distribution of marks, and important concepts that have frequently been covered in previous exams. 

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Highlights of IPMAT 2025 Exam Pattern 

Candidates taking the IPMAT 2025 exam should familiarize themselves with the IPMAT exam pattern. This will help them improve their exam preparation. The essential highlights of the exam pattern and marking scheme are as follows: 

Particulars	Details
Examination Mode	Online
Total Number of Questions	90
Examination Duration	2 hours (40 minutes per section)
IPMAT Marking Scheme	+4 for every correct answer -1 for every incorrect answer No negative marking in QA-short answer section

How to Download IPMAT Sample Papers? 

Candidates can download previous year's IPMAT exam sample papers by following the simple steps outlined below: 

• Click on the study material link to the IPMAT question papers given above. 
• Select the sample paper for IPMAT pdf files.
• The IPMAT sample paper with solution pdf files will open in a new window. 
• Click on IPMAT sample paper download and save them.

Sample Questions from IPMAT Sample Paper PDF 

Below are the IPMAT sample paper question with answers to begin your preparatioon:

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 color, 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 color

Q2. The number of ways in which five balls, each of different colours, 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

Explanation: The number of ways in which five balls, each of different colours, can be distributed to three different persons such that each person gets at least one ball is given by the Binomial expansion expression 35−3C1∗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.

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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 reveals the same)

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.

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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+log⁡6(8)1 + \log_6(8)1+log6​(8)
• (b) log⁡8(6)\log_8(6)log8​(6)
• (c) 1+log⁡8(6)1 + \log_8(6)1+log8​(6)
• (d) log⁡8(4)\log_8(4)log8​(4)

Answer: (c) 1+log⁡8(6)1 + \log_8(6)1+log8​(6)

Q11. If 93 is replaced by 94, which of the following statements are 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

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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 which 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

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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 mmm and nnn, respectively, then m+n2m + n^2m+n2 is equal to:

• a) 408
• b) 512
• c) 360
• d) 450

Answer: a) 408

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 over 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

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

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 illegality 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

Finally, IPMAT sample papers are more than just practice supports; they represent a window into the exam's nature. They assist applicants in transforming their preparation into performance, transforming potential into success.

Candidates can considerably increase their chances of admission to the widely recognized management school by diligently practising and strategically using these IPMAT sample papers.

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Key Takeaways:

• Exam Simulation: IPMAT sample papers accurately reflect the actual exam format and difficulty, aiding effective preparation.
• Diagnostic Evaluation: These IPMAT model papers help pinpoint strengths and weaknesses through question paper analysis, directing targeted study on important IPMAT topics.
• Time Management Mastery: Practicing with sample paper of IPMAT teaches efficient time allocation across different exam sections.
• Reduction in Errors: Regular usage of IPMAT model papers decreases common mistakes by familiarizing candidates with the exam's pressure and conditions.
• Strategic Study Tool: Incorporating IPMAT sample papers into preparation routines is vital for mastering important topics and enhancing question-solving strategies, boosting overall exam performance.

Also Check: List of Best Books for IPMAT Preparation 2025