Get access to the detailed solutions to the previous years questions asked in IIM IPMAT exam
1 IPMAT 2020 - Quantitative Aptitude
In a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 the dividend is_____________.
2 IPMAT 2020 - Quantitative Aptitude
The shortest distance from the point (- 4, 3) to the circle x2 + y2 = 1 is ______________.
is ____________4 IPMAT 2020 - Quantitative Aptitude
Suppose 
where a, b and c are distinct real number. If a = 3, then the value of abc is________.
5 IPMAT 2020 - Quantitative Aptitude
The minimum value of f(x) = |3 – x| + |2 + x| + |5 – x| is equal to __________.
6 IPMAT 2020 - Quantitative Aptitude
Ashok purchased pens and pencils in the ratio 2 : 3 during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio 4 : 1 and paid Rs 112. The cost of pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is_____________.
7 IPMAT 2020 - Quantitative Aptitude
In a four – digit number, the product of thousands digit and units digit is zero while their difference is 7. Product of the middle digits is 18. The thousand digit is as much more than the units digit as the hundreds digit is more than the tens digit. The four – digit number is____________.
8 IPMAT 2020 - Quantitative Aptitude
Out of 80 students who appeared for the school exams in Mathematics (M), Physics (P) and Chemistry (C), 50 passed M, 30 passed P and 40 passed C. At most 20 students passed M and P at most 20 students passed P and C and at most 20 students passed C and M. The maximum number of students who could have passed all three exams is ___________.
9 IPMAT 2020 - Quantitative Aptitude
Two friends run a 3 – kilometre race along a circular course of length 300 meters. If their speeds are in ratio 3 : 2. The number of times the winner passes the other is __________.
10 IPMAT 2020 - Quantitative Aptitude
Out of 13 objects. 4 are indistinguishable and rest are distinct. The number of ways we can choose 4 objects out of 13 objects is_____________.
11 IPMAT 2020 - Quantitative Aptitude
The probability that a randomly chosen factor of 1019 is a multiple of 1015 is
1/25
1/12
1/20
1/16
12 IPMAT 2020 - Quantitative Aptitude
The number of acute angled triangles whose sides are three consecutive positive integers and whose perimeter is at most 100 is
28
29
31
33
13 IPMAT 2020 - Quantitative Aptitude
The equation of the straight line passing through the point (– 5, 4), such that the portion of it between the axes is divided by the point M in to two equal halves, is
10y – 8x = 80
8y + 10x = 80
10y + 8x = 80
8y + 10x + 80 = 0
16 IPMAT 2020 - Quantitative Aptitude
A man is known to speak the truth on an average 4 out of 5 times. He throws a die and reports that it is a five. The probability that is actually a five is
4/9
5/9
4/15
2/15
17 IPMAT 2020 - Quantitative Aptitude
If log5 log8 (x2 – 1) = 0, then a possible value of x is
2√2
√2
2
3
18 IPMAT 2020 - Quantitative Aptitude
Consider the following statements:
(i) When 0 < x < 1, then 
(ii) When 0 < x < 1, then 
(iii) When -1< x < 0, then 
(iv) When -1< x < 0, then 
(i) and (ii)
(ii) and (iv)
(i) and (iv)
(ii) and (III)
19 IPMAT 2020 - Quantitative Aptitude
Fifty litres of a mixture of milk and water contains 30 percent of water. This mixture is added to eighty litres of another mixture of milk and water that contains 20 percent of water. Then, how many litres of water should be added to the resulting mixture to obtain a final mixture that contains 25% of water?
1
2
3
4
20 IPMAT 2020 - Quantitative Aptitude
Three workers working together need 1 hour to construct a wall. The first worker, working alone, can construct the wall twice as fast at the third worker, and can complete the task an hour sooner than the second worker. Then, the average time in hours taken by the three workers, when working alone, to construct the wall is
21 IPMAT 2020 - Quantitative Aptitude
In a class, students are assigned roll number from 1 to 140. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by 5 opted for football, and all those whose roll number are divisible by 3 opted for basketball. The number of students who did not opt for any of the three sports is
102
38
98
42
22 IPMAT 2020 - Quantitative Aptitude
Given f(x) = x2 + log3 x and g(y) = 2y + f(y), the value of g(3) equals
16
15
25
26
23 IPMAT 2020 - Quantitative Aptitude
A 2 × 2 matrix is filled with four distinct integers randomly chosen from the set {1, 2, 3, 4, 5, 6}. Then the probability that the matrix generated in such a way is singular is
2/45
1/45
4/15
1/15
24 IPMAT 2020 - Quantitative Aptitude
Ashok started a business with a certain investment. After few months, Bharat joined him investing half amount of Ashok’s initial investment. At the end of the first year, the total profit was divided between them in ratio 3:1. Bharat joined Ashok after
a. b. c. d.
2 months
3 months
4 months
6 months
25 IPMAT 2020 - Quantitative Aptitude
The average marks of 6 students in a test is 64. All students got different marks, one of the students obtained 70 marks and all other students scored 40 or above. The maximum possible difference between the
50
54
57
58
26 IPMAT 2020 - Quantitative Aptitude
Directions for Qs. 26 – 30: The table below presents the quoted buy and sell prices of five stocks during the five trading days of a given week. The quoted sell price is the price at which an investor can sell a stock in the market. The quoted buy price is the price at which an investor can buy a stock from the market. All the quoted numbers are in Indian Rupees.
If an investor had Rs. 36,00,000 to invest in any particular single stock, and she could buy the stock only on Monday and sell it off only on Friday, then the stock she should buy on Monday to earn the maximum possible profit during the week is
Marico
HUL
ITC
Britannia
27 IPMAT 2020 - Quantitative Aptitude
Directions for Qs. 26 – 30: The table below presents the quoted buy and sell prices of five stocks during the five trading days of a given week. The quoted sell price is the price at which an investor can sell a stock in the market. The quoted buy price is the price at which an investor can buy a stock from the market. All the quoted numbers are in Indian Rupees.
If an investor had Rs. 36,00,000 in purchasing the stocks of HUL on Monday, sell them off on Wednesday and use the entire proceeds to purchase the stocks of Britannia on the same day and sell them off again on Friday, then the total investment return during the week would be
2.8 percent
3.0 percent
3.3 percent
3.5 percent
28 IPMAT 2020 - Quantitative Aptitude
Directions for Qs. 26 – 30: The table below presents the quoted buy and sell prices of five stocks during the five trading days of a given week. The quoted sell price is the price at which an investor can sell a stock in the market. The quoted buy price is the price at which an investor can buy a stock from the market. All the quoted numbers are in Indian Rupees.
The difference between the quoted buy and sell price of a stock is referred to as the spread of the stock. The average spread of the stocks is lowest on
Monday
Tuesday
Thursday
Friday
29 IPMAT 2020 - Quantitative Aptitude
Directions for Qs. 26 – 30: The table below presents the quoted buy and sell prices of five stocks during the five trading days of a given week. The quoted sell price is the price at which an investor can sell a stock in the market. The quoted buy price is the price at which an investor can buy a stock from the market. All the quoted numbers are in Indian Rupees.
A brokerage firm charges 0.1 percent trading commission on the value of shares bought or sold through its trading platform. If an investor bought 1000 shares of Britannia on Tuesday, and sold all of them on Thursday, then the total brokerage fee that will be charged from the investor is
6,125
6,126
6,127
6,128
30 IPMAT 2020 - Quantitative Aptitude
Directions for Qs. 26 – 30: The table below presents the quoted buy and sell prices of five stocks during the five trading days of a given week. The quoted sell price is the price at which an investor can sell a stock in the market. The quoted buy price is the price at which an investor can buy a stock from the market. All the quoted numbers are in Indian Rupees.
If you had decided to invest Rs. 36,00,000 worth of ITC stocks on Monday, then the day of the week you should choose to sell the stocks to earn the maximum possible profit would be
Tuesday
Wednesday
Thursday
Friday