Electrical Engineering - Online Test
Q1. Let A be an m × n matrix and B an n × m matrix. It is given that determinant (Im + AB) = determinant (In + BA), where Ik is the k × k identity
matrix. Using the above property, the determinant of the matrix given below is
Answer : Option B
Explaination / Solution:
Consider the given matrix be
From the given property
Q2. A system described by the differential equation 
Let
x(t) be a rectangular pulse given by
Let
x(t) be a rectangular pulse given byAssuming that y(0) = 0 and dy/dt = 0 at t = 0, the Laplace transform of y(t) is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. A system described by a linear, constant coefficient, ordinary, first order
differential equation has an exact solution given by y(t) for t > 0, when the
forcing function is x(t) and the initial condition is y(0). If one wishes to modify
the system so that the solution becomes -2y(t) for t > 0, we need to
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. Consider two identically distributed zero-mean random variables U and V. Let the cumulative distribution functions of U and 2V be F(x) and G(x) respectively. Then, for all values of x
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. Which one of the following is NOT necessarily a property of a Group?
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one the following is TRUE?
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. (1217)8 is equivalent to
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value
is odd is 90% of the probability that the face value is even. The probability of getting any even
numbered face is the same. If the probability that the face is even given that it is greater than 3 is 0.75,
which one of the following options is closest to the probability that the face value exceeds 3?
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. .For the composition table of a cyclic group shown below
Which one of the following choices is correct?
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. Which one of the following is the most appropriate logical formula to represent the statement
“Gold and Silver ornaments are precious”
The following notations are used:
G(x): x is a gold ornament
S(x): x is a silver ornament
P(x): x is precious
Answer : Option D
Explaination / Solution:
No Explaination.
