Electrical Engineering - Online Test
Q1. If f(t) is a function defined for all t ≥ 0, its Laplace transform F(s) is
defined is
Answer : Option B
Explaination / Solution:
As we know that, the Laplace transform of the function f(t) is given
by,
Q2. f(z) = u(x,y) + iv(x,y) is an analytic function of complex variable z =
x + i y where 𝑖 = √−1. If u(x,y) = 2xy, then v(x,y) may be expressed
as
Answer : Option A
Explaination / Solution:
Given that f(z) = u(x,y) + iν (x,y) is analytic function of complex
variable z = x + iy. Then the function derivatives can be given as,
Q3. Consider a Poisson distribution for the tossing of a biased coin. The
mean for this distribution is μ. The standard deviation for this
distribution is given by
Answer : Option A
Explaination / Solution:
As we know that, for the poisson distribution,
mean = variance = μ
And also, we know that,
Standard deviation =√𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒
⇒ Standard deviation= √μ
Q4. Point mass M is released from rest and slides down a spherical bowl
(of radius R) from a height H as shown in the figure below. The
surface of the bowl is smooth (no friction). The velocity of the mass
at the bottom of the bowl is
Answer : Option C
Explaination / Solution:
From the principle of energy conservation,
Kinetic energy at the bottom = Potential energy at height H
1/2 mv2 = mgH ⇒ v = √2gH
Q5. Match the CORRECT pairs:
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. Maximize Z=15X1 + 20X2 subject to
12X1 + 4X2 ≥ 36
12X1 – 6X2 ≤ 24
Xv X2 ≥ 0
The above linear programming problem has
Answer : Option B
Explaination / Solution:
Max z = 15x1 + 20x2 
Converting constraints equation, we get
12x1 + 4x2 = 36 ___________(1)
12x1 - 6x2 = 24 ___________(2)
We cannot optimize the constraints, as these does not have any
bounded region.
Hence, solution is unbounded.
Q7. If a2 + b2 + c2 = 1, then ab + bc + ac lies in the interval
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. If any two columns of a determinant 
are interchanged, which one of the following
statements regarding the value of the determinant is CORRECT?
are interchanged, which one of the following
statements regarding the value of the determinant is CORRECT?
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. The value of 
is
is
Answer : Option A
Explaination / Solution:
= 0/48 = 0
Q10. Given two complex numbers 
the argument of z1/z2 in
degrees is
the argument of z1/z2 in
degrees is
Answer : Option A
Explaination / Solution:
