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IPMAT Indore 2020 (MCQ) PYQs

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Q1:

The probability that a randomly chosen factor of 101910^{19} is a multiple of 101510^{15} is
Answer options
Option: 4
Correct Answer
Explanation →

Q2:

The number of acute angled triangles whose sides are three consecutive positive integers and whose perimeter is at most 100 is
Answer options
Option: 2
Correct Answer
Explanation →

Q3:

The equation of the straight line passing through the point M(−5,4)M (-5,4), such that the portion of it between the axes is divided by the point MM into two equal halves, is
Answer options
Option: 1
Correct Answer
Explanation →

Q4:

The value of cos⁡2(π8)+cos⁡2(3π8)+cos⁡2(5π8)+cos⁡2(7π8)\cos^2\left(\frac{\pi}{8}\right) + \cos^2\left(\frac{3\pi}{8}\right) + \cos^2\left(\frac{5\pi}{8}\right) + \cos^2\left(\frac{7\pi}{8}\right) is
Answer options
Option: 3
Correct Answer
Explanation →

Q5:

If 112+122+132+…\frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \ldots up to ∞=π26\infty = \frac{\pi^2}{6}, then the value of 112+132+152+…\frac{1}{1^2} + \frac{1}{3^2} + \frac{1}{5^2} + \ldots up to ∞\infty is
Answer options
Option: 1
Correct Answer
Explanation →

Q6:

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 it is actually a five is
Answer options
Option: 1
Correct Answer
Explanation →

Q7:

If log⁡5(log⁡8(x2−1))=0\log_5(\log_8(x^2 - 1)) = 0, then a possible value of xx is
Answer options
Option: 4
Correct Answer
Explanation →

Q8:

Consider the following statements:
(i) When 0<x<10 < x < 1, then 11+x<1−x+x2\frac{1}{1+x} < 1 - x + x^2
(ii) When 0<x<10 < x < 1, then 11+x>1−x+x2\frac{1}{1+x} > 1 - x + x^2
(iii) When −1<x<0-1 < x < 0, then 11+x<1−x+x2\frac{1}{1+x} < 1 - x + x^2
(iv) When −1<x<0-1 < x < 0, then 11+x>1−x+x2\frac{1}{1+x} > 1 - x + x^2
Then the correct statements are:
Answer options
Option: 3
Correct Answer
Explanation →

Q9:

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 percent of water?
Answer options
Option: 2
Correct Answer
Explanation →

Q10:

Three workers working together need 1 hour to construct a wall. The first worker, working alone, can construct the wall twice as fast as 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
Answer options
Option: 1
Correct Answer
Explanation →

Q11:

In a class, students are assigned roll numbers 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 numbers are divisible by 3 opted for basketball. The number of students who did not opt for any of the three sports is
Answer options
Option: 2
Correct Answer
Explanation →

Q12:

Given f(x)=x2+log⁡3xf(x) = x^2 + \log_3 x and g(y)=2y+f(y)g(y) = 2y + f(y), then the value of g(3)g(3) equals
Answer options
Option: 1
Correct Answer
Explanation →

Q13:

A 2×22 \times 2 matrix is filled with four distinct integers randomly chosen from the set {1,2,3,4,5,6}\{1,2,3,4,5,6\}. Then the probability that the matrix generated in such a way is singular is
Answer options
Option: 1
Correct Answer
Explanation →

Q14:

Ashok started a business with a certain investment. After a few months, Bharat joined him investing half the amount of Ashok's initial investment. At the end of the first year, the total profit was divided between them in the ratio 3:13:1. Bharat joined Ashok after
Answer options
Option: 3
Correct Answer
Explanation →

Q15:

The average marks of 6 students in a test is 64. All the 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 second highest and the second lowest marks is
Answer options
Option: 2
Correct Answer
Explanation →

Q16:

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.
Day Monday Tuesday Wednesday Thursday Friday
Quote Sell Buy Sell Buy Sell Buy Sell Buy Sell Buy
Dabur 460 462 455 458 432 433 444 447 461 462
Marico 345 346 335 336 365 368 372 375 372 374
HUL 1931 1933 1952 1955 1979 1981 2044 2048 1966 1969
ITC 237 238 238 239 246 251 221 225 253 256
Britannia 3044 3046 3100 3101 3110 3115 3025 3027 3140 3144
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
Answer options
Option: 1
Correct Answer
Explanation →

Q17:

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.
Day Monday Tuesday Wednesday Thursday Friday
Quote Sell Buy Sell Buy Sell Buy Sell Buy Sell Buy
Dabur 460 462 455 458 432 433 444 447 461 462
Marico 345 346 335 336 365 368 372 375 372 374
HUL 1931 1933 1952 1955 1979 1981 2044 2048 1966 1969
ITC 237 238 238 239 246 251 221 225 253 256
Britannia 3044 3046 3100 3101 3110 3115 3025 3027 3140 3144
If an investor planned to invest 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
Answer options
Option: 3
Correct Answer
Explanation →

Q18:

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.
Day Monday Tuesday Wednesday Thursday Friday
Quote Sell Buy Sell Buy Sell Buy Sell Buy Sell Buy
Dabur 460 462 455 458 432 433 444 447 461 462
Marico 345 346 335 336 365 368 372 375 372 374
HUL 1931 1933 1952 1955 1979 1981 2044 2048 1966 1969
ITC 237 238 238 239 246 251 221 225 253 256
Britannia 3044 3046 3100 3101 3110 3115 3025 3027 3140 3144
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
Answer options
Option: 1
Correct Answer
Explanation →

Q19:

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.
Day Monday Tuesday Wednesday Thursday Friday
Quote Sell Buy Sell Buy Sell Buy Sell Buy Sell Buy
Dabur 460 462 455 458 432 433 444 447 461 462
Marico 345 346 335 336 365 368 372 375 372 374
HUL 1931 1933 1952 1955 1979 1981 2044 2048 1966 1969
ITC 237 238 238 239 246 251 221 225 253 256
Britannia 3044 3046 3100 3101 3110 3115 3025 3027 3140 3144
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
Answer options
Option: 2
Correct Answer
Explanation →

Q20:

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.
Day Monday Tuesday Wednesday Thursday Friday
Quote Sell Buy Sell Buy Sell Buy Sell Buy Sell Buy
Dabur 460 462 455 458 432 433 444 447 461 462
Marico 345 346 335 336 365 368 372 375 372 374
HUL 1931 1933 1952 1955 1979 1981 2044 2048 1966 1969
ITC 237 238 238 239 246 251 221 225 253 256
Britannia 3044 3046 3100 3101 3110 3115 3025 3027 3140 3144
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
Answer options
Option: 4
Correct Answer
Explanation →

IPMAT Indore 2020 MCQ Past Year Questions (Free PDF Download)

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