EC GATE 2016 PAPER 01 - Online Test
Q1. Consider the sequence x[n] = anu[n] + bnu[n], where u[n] denotes the unit-step sequence and 0 < |a| < |b| < 1. The region of convergence (ROC) of the z-transform of x[n] is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. 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
Q4. 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
Q5. Which one of the following is a property of the solutions to the Laplace equation: Δ2f = 0?
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. 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.
Q7. 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.
Q8. The Laplace transform of the causal periodic square wave of period T shown in the figure
below is 
Answer : Option B
Explaination / Solution:
