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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
by taking a width of 1Question 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 _____.
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
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 :
computed using Simpson’s rule with a step size of h = 0.25 is :
Question 12
Find the determinant of 
?
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Apr 30ESE & GATE CE
