Time Left - 30:00 mins
GATE 2021 :Engineering Mathematics Rapid Mini Mock (App update required to attempt this test)
Attempt now to get your rank among 627 students!
Question 1
If for an event A, the odds in favour of the event are 5 to 4. The probability of success of A is:
Question 2
For two matrices A and B, we have the value of ![](https://gradeup-question-images.grdp.co/liveData/PROJ36371/1567071130374592.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ36371/1567071130374592.png)
Question 3
A 3x3 matrix has eigen values 1, 3 and 2 The determinant of the matrix will be ________
Question 4
The line integral of the vector field F= 5xzi +(3x2+2y)j + x2zk along a path from (0,0,0) to (1,1,1) parametrized by (t,t2,t)is _________.
Question 5
Which of the following function is analytic
Question 6
For the partial differential equation:
The correct statement is:
Question 7
Evaluate
where C is the circle |z|=2.
![](https://gradeup-question-images.grdp.co/liveData/PROJ24400/1545814000243538.png)
Question 8
Let
be the solution of the differential equation
with initial conditions
and
Then the value of
is_________.
![](https://gradeup-question-images.grdp.co/liveData/PROJ6382/1500274753875976.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6382/1500274754526449.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6382/1500274755167159.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6382/1500274755807987.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6382/1500274756447212.png)
Question 9
A vector
is given by
, where i and j are the unit vectors along x and y directions. A vector
is defined as
. The value of
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601634257432.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601634963231.png)
![](https://gradeup-question-images.grdp.co/equations/1572514550257.png)
![](https://gradeup-question-images.grdp.co/equations/1572514612436.png)
![](https://gradeup-question-images.grdp.co/equations/1572514682664.png)
Question 10
Let f(x) = x ex. The maximum value of the function in the interval (0, ∞) is
Question 11
The function f(x)=ex-1 is to be solved using Newton-Raphson method. If the initial value of x0 is taken as 1.0, then the absolute error observed at 2nd iteration is __________.
Question 12
The value of β such that the given vector field is solenoidal will be:
![](https://gradeup-question-images.grdp.co/equations/1571640906988.png)
![](https://gradeup-question-images.grdp.co/equations/1571640906988.png)
- 627 attempts
- 4 upvotes
- 1 comment
Jul 14ESE & GATE EE