IPMAT indore 2019 Complete Paper Solution
Question 1.
The sum of the interior angles of a convex n-sided polygon is less than . The maximum possible value of n is
The sum of the interior angles of a convex n-sided polygon is less than . The maximum possible value of n is
Question 2.
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 3.
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 4.
Let A, B, C be three 4x4 matrices such that det A = 5, det B = -3, and det . Then the det is ........
Let A, B, C be three 4x4 matrices such that det A = 5, det B = -3, and det . Then the det is ........
Question 5.
If A is a 3 X 3 non-zero matrix such that then determinant of is equal to
If A is a 3 X 3 non-zero matrix such that then determinant of is equal to
Question 6.
Three friends divided some apples in the ratio 3 : 5 : 7 among themselves. After consuming 16 apples they found that the remaining number of apples with them was equal to largest number of apples received by one of them at the beginning. Total number of apples these friends initially had was
Three friends divided some apples in the ratio 3 : 5 : 7 among themselves. After consuming 16 apples they found that the remaining number of apples with them was equal to largest number of apples received by one of them at the beginning. Total number of apples these friends initially had was
Question 7.
A shopkeeper reduces the price of a pen by 25% as a result of which the sales quantity increased by 20%. If the revenue made by the shopkeeper decreases by x%, then x is
A shopkeeper reduces the price of a pen by 25% as a result of which the sales quantity increased by 20%. If the revenue made by the shopkeeper decreases by x%, then x is
Question 8.
For all real values of x, lies between 1 and k, and does not take any value above k. Then k equals...........
For all real values of x, lies between 1 and k, and does not take any value above k. Then k equals...........
Question 9.
The maximum distance between the point (-5, 0) and a point on the circle is .......
The maximum distance between the point (-5, 0) and a point on the circle is .......
Question 10.
If x, y, z are positive real numbers such that , and the three quantities are in arithmetic progression, then the value of n is
If x, y, z are positive real numbers such that , and the three quantities are in arithmetic progression, then the value of n is