Electrical Engineering - Online Test
Q1. Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees-were originally there in the bowl?
Answer : Option C
Explaination / Solution:
Let total no of toffees be x . The following table shows the all calculations.
Q2. Given that 
and q is any non-zero real number, the value
of |f(q) - f(-q)| is
and q is any non-zero real number, the value
of |f(q) - f(-q)| is
Answer : Option D
Explaination / Solution:
Q3. The sum of n terms of the series 4 + 44 + 444 + .... is
Answer : Option C
Explaination / Solution:
Q4. Let M4 = I, (where I denotes the identity matrix) and M ≠ I, M2 ≠ I and M3 ≠ I. Then, for any
natural number k, M-1 equals:
Answer : Option C
Explaination / Solution:
D is not correct
Q5. Given the following statements about a function
f : R⟶R, select the right option
P: If f(x) is continuous at x = x0, then it is also differentiable at x = x0.
Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.
R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.
Answer : Option B
Explaination / Solution:
We know that every differentiable function is continuous but converse need not be True
Q6. Which one of the following is a property of the solutions to the Laplace equation: Δ2f = 0?
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Consider the plot of f(x) versus x as shown below.
Suppose 
Which one of the following is a graph of F(x)?
Which one of the following is a graph of F(x)?
Answer : Option C
Explaination / Solution:
Since the integration of an odd function is even in this logic A and B cannot be the answer as they are odd functions.
However both C and D are even functions but the integration of a linear curve has to be parabolic in nature and it cannot be a constant function. Based on this Option C is correct.
Q8. Consider a two-port network with the transmission matrix: 
If the network is
reciprocal, then
If the network is
reciprocal, then
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. The Laplace transform of the causal periodic square wave of period T shown in the figure
below is 
Answer : Option B
Explaination / Solution:
Q10. Let U and V be two independent zero mean Gaussain random variables of variances 1/4 and 1/9 respectively. The probability 
is
is
Answer : Option B
Explaination / Solution:
No Explaination.
