Engineering Mathematics - Online Test

Q1. A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red is
Answer : Option C
Explaination / Solution:
No Explaination.


Q2. An Eigenvector of  is
Answer : Option B
Explaination / Solution:
No Explaination.


Q3. For the differential equation  with initial conditions x(0) = 1 and   the solution is
Answer : Option B
Explaination / Solution:
No Explaination.


Q4. For the set of equations
 
The following statement is true
Answer : Option D
Explaination / Solution:
No Explaination.


Q5. The trace and determinant of a 2 × 2 matrix are known to be –2 and –35 respectively. It’s Eigenvalues are
Answer : Option C
Explaination / Solution:
No Explaination.


Q6. If E denotes expectation, the variance of a random variable X is given by
Answer : Option A
Explaination / Solution:

The variance of a random variable x is given by E X − E X

Q7. The following plot shows a function which varies linearly with x . The value of the integral  is

Answer : Option B
Explaination / Solution:

The given plot is straight line whose equation is 


Q8. For |x| << 1, coth (x) can be approximated as
Answer : Option C
Explaination / Solution:



Q9.
Answer : Option A
Explaination / Solution:



Q10. Which one of following functions is strictly bounded?
Answer : Option D
Explaination / Solution: