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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Test  >  GATE Mock Test Series 2027  >  Test: Introduction to Signals - Electrical Engineering (EE) MCQ

GATE Electrical Engineering (EE) Test: Introduction to Signals Free Online


MCQ Practice Test & Solutions: Test: Introduction to Signals (10 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: Introduction to Signals". These 10 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: 30 minutes
  • - Number of Questions: 10

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Test: Introduction to Signals - Question 1
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The signal x(t) = A cos(ωt + φ) is:

Detailed Solution: Question 1

All bounded periodic signals are power signals, because they do not converge to a finite value so their energy is infinite and their power is finite.

Test: Introduction to Signals - Question 2
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What is the total energy of the rectangular pulse shown in figure below?

Detailed Solution: Question 2

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Test: Introduction to Signals - Question 3
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The value of  is the Dirac delta function, is

Detailed Solution: Question 3

Test: Introduction to Signals - Question 4
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What is the simplified value of y(n) if

Detailed Solution: Question 4

Test: Introduction to Signals - Question 5
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The sampling of a function f(t) = sin(2πf0t) starts from zero-crossing. The signal can be detected, if sampling time T is:

Detailed Solution: Question 5

Because fs ≤ 2f0,

Ts ≤ .

Test: Introduction to Signals - Question 6
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What is the power and energy of the unit step sequence u(n) respectively?

Detailed Solution: Question 6

Test: Introduction to Signals - Question 7
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For a periodic signal v(t) = 30 sin100t + 10 cos300t + 6 sin(500t + π/4), the
fundamental frequency in rad/s is

Detailed Solution: Question 7

Test: Introduction to Signals - Question 8
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If a signal f(t) has energy ‘E’ the energy of the signal f(2t) is equal to:

Detailed Solution: Question 8


and 

⇒  

Test: Introduction to Signals - Question 9
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Consider the sequence x[n] = [-4 - j5, 1 + j2, 4]. The conjugate anti-symmetric part of the sequence is:

Detailed Solution: Question 9

Option A is correct.

Assumption: the three samples are indexed as n = -1, 0, 1 (standard centring for a 3-point sequence).

The conjugate anti-symmetric part is given by x_a[n] = (x[n] - x^*[-n]) / 2.

For n = -1: x_a[-1] = (x[-1] - x^*[1]) / 2.

Substituting values: x_a[-1] = ((-4 - j5) - 4) / 2 = (-8 - j5) / 2 = -4 - j2.5.

For n = 0: x_a[0] = (x[0] - x^*[0]) / 2.

Substituting values: x_a[0] = (1 + j2 - (1 - j2)) / 2 = (j4) / 2 = j2.

For n = 1: x_a[1] = (x[1] - x^*[-1]) / 2.

Substituting values: x_a[1] = (4 - (-4 + j5)) / 2 = (8 - j5) / 2 = 4 - j2.5.

Therefore the conjugate anti-symmetric part is [-4 - j2.5, j2, 4 - j2.5], which matches Option A.

Test: Introduction to Signals - Question 10
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The function x(t) is shown in the figure. Even and odd parts of a unit step function u(t) are respectively:

Detailed Solution: Question 10

x(t) = u(t) - u(-t)

u(t) = 

u(-t) = 

-u(-t) = 

Hence, 

x(t) = u(t) - u(-t)

even part = [u(t) + u(-t)] / 2 = 1/2

odd part = [u(t) - u(-t)] / 2 = 1/2[x(t)]

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About this Electrical Engineering (EE) Practice Test

This test contains 10 MCQs on Introduction to Signals with detailed solutions for each question. It is part of the GATE Electrical Engineering (EE) Mock Test Series 2027 course on EduRev, designed to align with the current Electrical Engineering (EE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Introduction to Signals MCQ Test helpful, you can further enhance your Electrical Engineering (EE) preparation with in-depth courses on EduRev, for all the subjects and topics available in GATE Electrical Engineering (EE) Mock Test Series 2027 course. The course offers:
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