Electrical Engineering - Online Test
Q1. The type of partial differential equation 
Answer : Option C
Explaination / Solution:
Comparing the given equation with the general form of second order partial differential
equation, we have A=1, B=3, C=1
B2- 4AC = 5 > 0
P.D.E
is Hyperbola.
Q2. If the entries in each column of a square matrix M add up to 1, then an eigen value of M
is
Answer : Option D
Explaination / Solution:
Consider the '2x2 ' square matrix 
Characteristic equation of M is
Characteristic equation of M isλ2 - (a + d)λ + (ad - bc) = 0......................(1)
Put λ =1, weget
1 - (a + d) + ad - bc = 0
1 - a - d + ad - (1 - d)(1 - a) = 0
1 - a - d + ad - 1 + a + d - ad = 0
0 = 0,which is true
λ = 1
Satisfies the equation (1) but λ = 2,3,4
does not satisfy the equation (1). For all
possible values of a,d
Q3. 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.
Q4. The solution of the partial differential equation 
is of the form
is of the form
Answer : Option B
Explaination / Solution:
Q5. 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.
Q6. Probability density function of a random variable X is given below
Answer : Option A
Explaination / Solution:
Q7. The value of
Answer : Option B
Explaination / Solution:
Q8. 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
Q9. The respective expressions for complimentary function and particular integral part of
the solution of the differential equation 
are
are
Answer : Option A
Explaination / Solution:
Q10. 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.
