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