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IPMAT Indore 2021 (SA) PYQs

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IPMAT Indore 2021 Past Year Papers with Solutions filter tool

Q1:

The number of positive integers that divide (1890)⋅(130)⋅(170)(1890) \cdot (130) \cdot (170) and are not divisible by 4545 is ________
320
Correct Answer
Explanation →

Q2:

The sum up to 1010 terms of the series 1⋅3+5⋅7+9⋅11+...1 \cdot 3 + 5 \cdot 7 + 9 \cdot 11 + ... is
5310
Correct Answer
Explanation →

Q3:

It is given that the sequence {xnx_n} satisfies x1=0,xn+1=xn+1+2√(1+xn)x_1 = 0, x_{n+1} = x_n + 1 + 2√(1+x_n) for n=1,2,...n = 1,2,... Then x31x_{31} is _______
960
Correct Answer
Explanation →

Q4:

There are 5 parallel lines on the plane. On the same plane, there are nn other lines that are perpendicular to the 5 parallel lines. If the number of distinct rectangles formed by these lines is 360, what is the value of nn?
9
Correct Answer
Explanation →

Q5:

There are two taps, T1 and T2, at the bottom of a water tank, either or both of which may be opened to empty the water tank, each at a constant rate. If T1 is opened keeping T2 closed, the water tank (initially full) becomes empty in half an hour. If both T1 and T2 are kept open, the water tank (initially full) becomes empty in 20 minutes. Then, the time (in minutes) it takes for the water tank (initially full) to become empty if T2 is opened while T1 is closed is
60
Correct Answer
Explanation →

Q6:

A class consists of 30 students. Each of them has registered for 5 courses. Each course instructor conducts an exam out of 200 marks. The average percentage marks of all 30 students across all courses they have registered for, is 80%. Two of them apply for revaluation in a course. If none of their marks reduce, and the average of all 30 students across all courses becomes 80.02%, the maximum possible increase in marks for either of the 2 students is
6
Correct Answer
Explanation →

Q7:

What is the minimum number of weights which enable us to weigh any integer number of grams of gold from 1 to 100 on a standard balance with two pans? (Weights can be placed only on the left pan)
7
Correct Answer
Explanation →

Q8:

If one of the lines given by the equation 2x2+axy+3y2=02x^2 + axy + 3y^2 = 0 coincides with one of those given by 2x2+bxy−3y2=02x^2 + bxy - 3y^2 = 0 and the other lines represented by them are perpendicular then a2+b2=a^2+b^2 =
26
Correct Answer
Explanation →

Q9:

If a function f(a)=max(a,0)f(a) = max (a, 0) then the smallest integer value of xx for which the equation f(x−3)+2f(x+1)=8f(x - 3) + 2f(x + 1) = 8 holds true is _______.
3
Correct Answer
Explanation →

Q10:

In a class, 60% and 68% of students passed their Physics and Mathematics examinations respectively. Then at least ________ percentage of students passed both their Physics and Mathematics examinations.
28
Correct Answer
Explanation →

IPMAT Indore 2021 SA Past Year Questions (Free PDF Download)

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