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IPMAT indore 2020 Complete Paper Solution

Question 1.

In a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then dividend is __________.

A
B
C
D

Question 2.

The probability that a randomly chosen factor of 1019 is a multiple of 1015 is

A
1/25
B
1/12
C
1/20
D
1/16

Question 3.

"John Muir, Earth-planet, Universe." Muir wrote this in his notebook because

A
He did not have a permanent address.
B
He wanted to be a traveller all his life.
C
His love for botany went beyond borders.
D
He wanted to live in the open all his life.

Question 4.

The number of acute angled triangles whose sides are three consecutive positive integers and whose perimeter is at most 100 is

A
28
B
29
C
31
D
33

Question 5.

The shortest distance from the point (-4,3) to the circle x2 + y2 = 1 is __________.

A
B
C
D

Question 6.

Which of these did John Muir have no great difficulty in doing?

A
Finding food among the farmers.
B
Eating regularly every day
C
Sleeping without blankets on certain nights.
D
Chasing wolves that howled through the nights.

Question 7.

The value of 0.04log514+18+116+...0.04log514+18+116+... is _________.

A
B
C
D

Question 8.

How did the experience with nature affect John Muir?

A
He felt spiritually fulfilled.
B
He became a better botanist.
C
He felt successful after collecting rare plants.
D
He enjoyed the breeze in the glorious forests.

Question 9.

The equation of the straight line passing through the point M (-5, 4), such that the portion of it between the axes is divided by the point M in to two equal halves, is

A
10y - 8x = 80
B
8y + 10x = 80
C
10y + 8x = 80
D
8y + 10x + 80 = 0

Question 10.

The value of cos2π8cos2π8 + cos23π8cos23π8 + cos25π8cos25π8 + cos27π8cos27π8

A
1
B
3/2
C
2
D
9/4
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