IPMAT indore 2019 Complete Paper Solution
Question 1.

If the compound interest earned on a certain sum for 2 years is twice the amount of simple interest for 2 years, then the rate of interest per annum is _______ percent
If the compound interest earned on a certain sum for 2 years is twice the amount of simple interest for 2 years, then the rate of interest per annum is _______ percent
Question 2.

The sum of the interior angles of a convex n-sided polygon is less than 2019°. The maximum possible value of n is
The sum of the interior angles of a convex n-sided polygon is less than 2019°. The maximum possible value of n is
Question 3.

The maximum value of the natural number n for which 21n divides 50! is
The maximum value of the natural number n for which 21n divides 50! is
Question 4.

Suppose that a, b, and c are real numbers greater than 1. Then the value of + + is
Suppose that a, b, and c are real numbers greater than 1. Then the value of + + is
Question 5.

A real-valued function f satisfies the relation f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y, for all real numbers x and y, then the value of f(8) is
A real-valued function f satisfies the relation f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y, for all real numbers x and y, then the value of f(8) is
Question 6.

The remainder when is divided by 9 is
The remainder when is divided by 9 is
Question 7.

Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6,7 and 9?
Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6,7 and 9?
Question 8.

Let A, B, C be three 4 X 4 matrices such that det A = 5, det B = -3, and det C = 1/2. Then the det (2AB-1C3BT) is
Let A, B, C be three 4 X 4 matrices such that det A = 5, det B = -3, and det C = 1/2. Then the det (2AB-1C3BT) is
Question 9.

If A is a 3 X 3 non-zero matrix such that A2 = 0 then determinant of [(1 + A)2 - 50A] is equal to
If A is a 3 X 3 non-zero matrix such that A2 = 0 then determinant of [(1 + A)2 - 50A] is equal to
Question 10.

In a school 70% of the boys like cricket and 50% like football. If x% like both Cricket and Football, then
In a school 70% of the boys like cricket and 50% like football. If x% like both Cricket and Football, then