Electrical Engineering - Online Test
Q1. Eigen values of a real symmetric matrix are always
Answer : Option C
Explaination / Solution:
Eigen values of a real symmetric matrix are always real
Q2. The product of two complex numbers 1 + i and 2-5i is
Answer : Option A
Explaination / Solution:
(1 + i)(2 -5i) = 2 - 5i + 2i + 5 = 7 - 3i
Q3. If f(x) is an even function and a is a positive real number, then 
equals
equals
Answer : Option D
Explaination / Solution:
Q4. The integral 
when evaluated by using Simpson’s 1/3 rule on two equal
subintervals each of length 1, equals
when evaluated by using Simpson’s 1/3 rule on two equal
subintervals each of length 1, equals
Answer : Option C
Explaination / Solution:
Q5. Consider the differential equation 
. The general solution with
constant c is
. The general solution with
constant c is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. An unbiased coin is tossed five times. The outcome of each toss is either a head
or a tail. The probability of getting at least one head is
Answer : Option D
Explaination / Solution:
P(at least one head) = 1- P (no heads) = 1 - (1/25) = 31/32
Q7. Consider the following system of equations
2x1 + x2 + x3 = 0,
x2 - x3 = 0,
x1 + x2 = 0.
This system has
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. The Laplace transform of tet is
Answer : Option B
Explaination / Solution:
Q9. If f(z) = (x2 +ay2) + ibxy is a complex analytic function of z = x + iy, where i = √-1, then
Answer : Option B
Explaination / Solution:
Clearly for b = 2 and a= –1 above Cauchy-Riemann equations holds
Q10. The solution to the system of equations 
Answer : Option D
Explaination / Solution:
On comparing the matrix, we get
2x + 5y = 2 ………………(1)
-4x + 3y = -30 ………….(2)
By solving the equation (1) and (2)
We get
x = 6, y = -2
