IPMAT Indore 2026 Question Paper with Complete Solutions by Anshu Agarwal
- Anshu Agarwal
- May 10
- 8 min read
Updated: May 12
Actual Questions + Detailed Video Solutions for Every Quant Question
After helping thousands of IPMAT aspirants across India, Anshu Agarwal brings the complete IPMAT Indore 2026 question paper with detailed solutions, fastest approaches, shortcut methods, and in-depth video explanations for every important Quant question. This page is designed not just to provide answers, but to help students understand the exact thinking process required to crack IPMAT Indore.
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IPMAT Indore 2026 Quantitative Ability Questions & Solutions
Part 01 [Short Answers]
1. Let ABCD be a cyclic quadrilateral with AB = 15, BC = 20, CD = 24 and AC = 25. Then AD equals_________
2.
3. Ram purchased 3 oranges at ₹ 20 each and 5 mangoes at ₹ 38 each and then sold them by offering discounts of 25% and 20% on the fixed marked prices of oranges and mangoes, respectively. If he earned a profit of 50% on selling the oranges alone, and a total profit of 32% on selling all the fruits, then the marked price of each mango was _________
4.
5.
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6. Savitri borrowed 10000 rupees from a bank for a period of two years at a fixed interest rate of 10% per annum, compounded semi-annually, and paid back 5025 rupees at the end of first year. Then, the amount, in rupees, to be paid at the end of second year is_________
7. Let S denote an arithmetic progression whose first term is either 132 or 158, and the common difference is an even integer less than 10. If the nth term of S is 174, then the number of possible distinct values of n is:
8.
9.
10. A man starts walking from point A to point B at 4 km/hr. After 30 minutes, a woman starts from point A at 6 km/hr. If the woman reaches point B 20 minutes earlier than the man, then the distance between A and B in km is:
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11. The number of ways in which three distinct integers can be chosen from the set {1, 2, …, 9} such that their product is divisible by 4, is_________
12. In a company, initially the ratio of the foreign and domestic workers was 5 : 8. When some foreign and 12 domestic workers left the company, this ratio became 2 : 3. Later, when 10 more foreign workers were replaced by 10 new domestic workers, this ratio became 3 : 7. The initial number of domestic workers in the company was ___________
Directions [13 - 15]
Five friends A, B, C, D and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that:
· No two friends like exactly the same set of activities.
· A, B and E like exactly two activities each.
· D likes only Countryside Sightseeing.
· C likes more number of activities compared to D.
13. The number of ways in which a pair of friends can be chosen for a trip from those who like Adventure Sports is :
14. The number of friends that like Countryside Sightseeing is:
15. The number of friends who like both Shopping and Adventure Sports is:
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Part 02 [QA : MCQ]
1. Two locations A and B are at diametrically opposite ends of a circular track. Rekha starts running along the track from location A in the clockwise direction. Sajal starts running simultaneously along the track in the anticlockwise direction from location B. If the length of the circular track is 14 km, and the speeds of Rekha and Sajal are in the ratio 5: 2, then the distance, in km, travelled by Rekha, when they meet at location B for the first time, is
(a) 35
(b) 7
(c) 49
(d) 21
2. A certain number of people contributed to a charity. The first person contributed one rupee. The rule for contribution was that the next person would contribute double the amount already raised. If the total money raised for the charity was 2187 rupees, then the number of people who contributed to the charity is
(a) 9
(b) 6
(c) 7
(d) 8
3.
4.
5.
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6.
7.
8.
9.
10. Gita starts from point A and walks 1000 m east. She then walks 800 m north, followed by 640 m west and 512 m south, reaching point B. After this, she continues moving in the same cyclic order: east, north, west, south, with each successive movement 20% shorter than the previous one. After infinitely many such moves, approximately how far in meters will Gita be from her starting point A?
(a) 765
(b) 781
(c) 711
(d) 800
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11. A fair die is rolled repeatedly. The probability that the cumulative sum is at least 17 in the third trial is
(a) 1/ 108
(b) 7/ 216
(c) 1/ 27
(d) 1/ 54
12.
13.
14.
15.
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16. Let ABCD be a rectangle with AB = 72 cm and BC = 30 cm. A circle passing through points A and C cuts the side AB at P such that AP = 56 cm. The radius, in cm, of the circle is
(a) 220/ 5
(b) 216/ 5
(c) 221/ 5
(d) 441/ 10
17.
18. The possible values of x in the set {1, 5, 13} for which the mean of eight observations 5, 8, 3x+2, 15, 27, 29, 36, 5x-2 equals their median are:
(a) only 13
(b) only 5
(c) only 1
(d) 5 and 13
19. The number of ways in which coins of denominations of rupees 2, 5 and, 10 can be combined to make a value of rupees 50 is
(a) 19
(b) 10
(c) 20
(d) 21
20.
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21. Three dice are thrown simultaneously and the sum of the three numbers appearing on the top faces of the dice is found to be 10. The probability that these three numbers are distinct, is
(a) 2/ 3
(b) 3/ 4
(c) 1/ 2
(d) 3/ 5
22. If m is a positive integer, then the value of k for which 6m + k cannot be a perfect square are:
(a) 1, 2 and 5
(b) 3 and 4
(c) 1 and 5
(d) 2 and 5
23.
24.
25. In a class, 25% of all students read news from the Internet. Moreover, 45% of all students read news from printed newspaper. Further, 20% of all students read news from both the Internet and printed newspaper and they do not play video games. It is also known that 30% of the students who do not read news play video games. The minimum percentage of students who do not play video games is
(a) 25%
(b) 35%
(c) 45%
(d) 55%
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Directions [26 – 30]:
A nutritionist is designing a daily diet plan of a person using five food items: Milk, Spinach, Almonds, Oats, and Rice. The minimum Daily Requirement (MDR) of the nutrients Calcium, Iron and Protein should be 1100 mg, 15 mg and 40 g respectively. The following table gives nutrient content per serving of each food item:
Food Item | Nutrient content per serving | ||
Calcium (mg) | Iron (mg) | Protein (g) | |
Milk | 300 | 0 | 8 |
Spinach | 90 | 6 | 3 |
Almonds | 210 | 4 | 6 |
Oats | 120 | 3 | 5 |
Rice | 50 | 1 | 4 |
Each serving provides a certain percentage of the MDR. For example, one serving of Milk satisfy 20% of MDR of protein. Further, the number of servings of any food item should be a whole number.
26. If only x servings of Milk and y servings of Rice are included in the diet plan, then the minimum value of x + y that will satisfy the MDR of all three nutrients is:
(a) 15
(b) 24
(c) 17
(d) 22
27. The number of food items that can satisfy at least 15% of the MDR for at least two nutrients in one serving is
(a) 3
(b) 1
(c) 2
(d) 0
28. When one serving of each of the five items is included in the diet plan, the nutrient with the least percentage of MDR satisfied is
(a) Calcium with 65% MDR
(b) Protein with 65% MDR
(c) Protein with 70% MDR
(d) Calcium with 70% MDR
29. If two servings of Milk are part of the daily diet plan, then the minimum number of servings of any other single item that can satisfy the MDR of all three nutrients is
(a) 4
(b) 6
(c) 5
(d) 7
30. The food item(s) that can satisfy at least half of the MDR for all the three nutrients using up to seven servings of that single item alone is
(a) Only Almonds
(b) Only Almonds, Spinach, and Oats
(c) Only Almonds, and Spinach
(d) Only Almonds, and Oats
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All The Best