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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

The probability of getting exactly 2 tails in 6 tosses of a fair coin 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

The solution of the ordinary differential equation given below, with initial condition y (2) = 3, is Question 9

Consider the following equations
3x – y – z + 2w = 0
3x + y – z - 2w = 0
12x + 3y – 4z - 6w = 0
The system of equations will be

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

The value of computed using Simpson’s rule with a step size of h = 0.25 is :

Question 12

Find the determinant of ?
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