GATE Electrical Engineering (EE) Test: The Laplace Transform Free Online
MCQ Practice Test & Solutions: Test: The Laplace Transform (20 Questions)
You can prepare effectively for Electrical Engineering (EE) GATE Electrical Engineering (EE) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: The Laplace Transform". These 20 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 60 minutes
- - Number of Questions: 20
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Given the transform pair below. Determine the time signal y(t) and choose correct option.
Que: Y(s) = (s + 1)X(s)
Detailed Solution: Question 1
Given the transform pair below. Determine the time signal y(t) and choose correct option.
Que: Y(s) = X(3s)
Detailed Solution: Question 2
Given the transform pair below. Determine the time signal y(t) and choose correct option.
Que: Y(s) = X(s + 2)
Detailed Solution: Question 3
Unilateral Laplace Transform is applicable for the determination of linear constant coefficient differential equations with ________
Given the transform pair below. Determine the time signal y(t) and choose correct option.
Que: 
Detailed Solution: Question 5
Given the transform pair
Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.
Que: y(t) = x(t - 2)
Detailed Solution: Question 6
Given the transform pair
Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.
Que: 
Detailed Solution: Question 7
Given the transform pair
Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.
Que: y(t) = e-t x(t)
Detailed Solution: Question 8
Given the transform pair
Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.
Que: y(t) = 2tx(t)
Detailed Solution: Question 9
Determine the bilateral laplace transform and choose correct option
Detailed Solution: Question 10
Determine the bilateral laplace transform and choose correct option.
x(t) = u(-t + 3)
Detailed Solution: Question 11
Determine the bilateral laplace transform and choose correct option
y(t) = δ(t + 1)
Detailed Solution: Question 12
Determine the bilateral laplace transform and choose correct option
x(t) = sin t u(t)
Detailed Solution: Question 13
Determine the bilateral laplace transform and choose correct option.
Detailed Solution: Question 14
Determine the bilateral laplace transform and choose correct option.
Detailed Solution: Question 15
Determine the bilateral laplace transform and choose correct option.
Detailed Solution: Question 16
Where is the ROC defined or specified for the signals containing causal as well as anti-causal terms?
The transform function H(s) of a causal system is
The impulse response is
Detailed Solution: Question 18
The transfer function H(s) of a stable system is
The impulse response is
Detailed Solution: Question 19
The transfer function H(s) of a stable system is
The impulse response is
Detailed Solution: Question 20
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