Mechanical Engineering - Online Test
Q1. The solution of the partial differential equation 
is of the form
is of the form
Answer : Option B
Explaination / Solution:
Q2. In shear design of an RC beam, other than the allowable shear strength of concrete (τc),
there is also an additional check suggested in IS 456-2000 with respect to the
maximum permissible shear stress (τc max). The check for τc max max is required to
take care of
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. Probability density function of a random variable X is given below
Answer : Option A
Explaination / Solution:
Q4. The value of
Answer : Option B
Explaination / Solution:
Q5. The area of the region bounded by the parabola y = x2 +1 and the straight line x+y = 3 is
Answer : Option B
Explaination / Solution:
At the point of intersection of the curves, y = x2 +1 and x+y = 3 i.e., y=3-x, we have
Q6. The respective expressions for complimentary function and particular integral part of
the solution of the differential equation 
are
are
Answer : Option A
Explaination / Solution:
Q7. Four cards are randomly selected from a pack of 52 cards. If the first two cards are kings, what is
the probability that the third card is a king?
Answer : Option B
Explaination / Solution:
There are 4 kings in a pack of 52 cards.
If 2 cards are selected and both are kings, remaining cards will be 50 out of which 2 will be kings.
Q8. Given i = √-1 the value of the definite integral 
Answer : Option B
Explaination / Solution:
Q9. Let A = [ αij ], 1≤ i, j ≤ n with n ≥ 3 and aij = i.j . The rank of A is
Answer : Option B
Explaination / Solution:
Q10. 
is equal to
is equal to
Answer : Option D
Explaination / Solution:
