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IPMAT indore 2020 Complete Paper Solution

Question 1.

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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.

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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.

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"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.

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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.

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

A
B
C
D

Question 6.

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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.

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

A
B
C
D

Question 8.

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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.

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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.

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The value of cos2π8cos2π8 + cos23π8cos23π8 + cos25π8cos25π8 + cos27π8cos27π8

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