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# GATE 2021: Engineering Mathematics Rapid Mini Mock (App update required to attempt this test)

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Question 1

The determinant of matrix A is 5 and the determinant of matrix B is 40. The determinant of matrix AB is ________.

Question 2

Probability of passing in Physics is 35%. The chance of passing in Physics and getting above 85 marks in it is 7%. Given that student passes in Physics. Find the probability that student gets above 85 marks.

Question 3

Eigen value of inverse of matrix A is

Question 4

Let z be a complex variable. For a counter-clockwise integration around a unit circle C, centred at origin, the value of A is

Question 5

By using Simpson's 1/3rd rule find by taking a width of 1

Question 6

Buses arrive at a specified stop at 15 minute intervals starting at 7 AM.if a passenger arrives at the stop at a random time between 7:00 and 7:30 AM, then the probability that the passenger waits less than 6 minutes is _______.

Question 7

The directional derivative of at in the direction of line PQ, where , is _____.

Question 8

If z is a complex number with modulus 1, such that is not –1, then is
[Assume n is a positive integer]

Question 9

The solution of the ordinary differential equation given below, with initial condition y (2) = 3, is Question 10

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly ‘9’ twice is

Question 11

Find the determinant of ?

Question 12

Find the solution for multiplication of two complex no. of the form a+ib and c+id. Take a = 2, b = 3, c = 4 and d = 5.
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