Civil Engineering - Online Test

Q1. Type II error in hypothesis testing is
Answer : Option A
Explaination / Solution:

Type II Errors means acceptance of the null hypothesis when it is false and should be rejected.

Q2. The solution of the partial differential equation  is of the form
Answer : Option B
Explaination / Solution:



Q3. 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.


Q4. Probability density function of a random variable X is given below

Answer : Option A
Explaination / Solution:



Q5. The value of 

Answer : Option B
Explaination / Solution:



Q6. 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 


Q7. The respective expressions for complimentary function and particular integral part of the solution of the differential equation  are
Answer : Option A
Explaination / Solution:



Q8. 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.

Q9. Given i = √-1 the value of the definite integral 
Answer : Option B
Explaination / Solution:



Q10.  Let A = [ αij ], 1≤ i, j ≤ n with n ≥ 3 and aij = i.j . The rank of A is
Answer : Option B
Explaination / Solution: