Explore topic-wise MCQs in Testing Subject.

This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.

1.

The dirac delta function δ(t) is defined as

A. A
B. B
C. C
D. D
Answer» E.
2.

A voltage wave is v = 50 sin ωt. Its average value calculated over full one cycle is

A. zero
B. 35.36 V
C. 31.85 V
D. none of the above
Answer» B. 35.36 V
3.

The current in a circuit with 10 Ω resistance is i = 3 + 4 sin (100 t + 45°) + 4 sin (300 t + 60°) A. The rms current and power dissipated are

A. √41 A and 410 W
B. √35 A and 350 W
C. 5 A and 250 W
D. 11 A and 1210 W
Answer» D. 11 A and 1210 W
4.

In the given figure 15.6 shows a series, R - C circuit fed by a current source i(t). There is an initial voltage v₀ across the capacitor. The system

A. is linear
B. is non linear
C. may be linear or non linear
D. is linear only if v₀ is zero
Answer» E.
5.

A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where g(t) ids given by below equation. The resulting signal is then passed through on ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would me

A. δ(t)
B. m(t)
C. 0
D. m(t) δ(t)
Answer» C. 0
6.

Assertion (A): Fourier series can also be written in exponential form.Reason (R): sin (n ωt) and cos (n ωt) can be expressed as sum or difference of exponentials.

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» B. Both A and R are correct but R is not correct explanation of A
7.

A linear system is characterized by H(ω) = Be^(-2ω²) the system is physically

A. unrealizable
B. realizable
C. depends upon B
D. depends upon constant 2
Answer» B. realizable
8.

Assertion (A): Intergal of a unit step function is a ramp of slope unity.Reason (R): If f(t) = sin wt, F(s) = 1/(s² + w²)

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» D. A is false, R is true
9.

The function δ' (t-b) is

A. a step function originating at t = b
B. an impulse function originating at t = b
C. a unit doublet originating at = t - b
D. none of the above
Answer» D. none of the above
10.

The minimum sampling frequency in sample/sec. required to reconstruct the following signal from its samples without distortion would be

A. 2 x 10³
B. 4 x 10³
C. 6 x 10³
D. 8 x 10³
Answer» D. 8 x 10³
11.

In the given figure the phase angle of Fn is either 0 or Π.

A. True
B. False
C. May be True or False
D. Can't Say
Answer» B. False
12.

Consider the following two statements :

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» B. Both A and R are correct but R is not correct explanation of A
13.

A rectangular pulse train s(t) is shown in figure is convolved with the signal cos²(4π x 10³t). The convolved signal will be a

A. DC
B. 12 kHZ sinusoidal
C. 8 kHZ sinusoidal
D. 14 kHZ sinusoidal
Answer» E.
14.

Consider the following statements :

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» B. Both A and R are correct but R is not correct explanation of A
15.

For the function u(t - a) = 0 for t < a and u(t - a) = 1 fort ≥ a, the Laplace transform is

A. A
B. B
C. C
D. D
Answer» C. C
16.

The value of following Integral is equal to

A. 11
B. 3
C. 9
D. 0
Answer» E.
17.

Let the Fourier transform of y(n) be given by below equation, then y(e^(j0)) is

A. 1/4
B. 2
C. 4
D. 4/3
Answer» B. 2
18.

Consider the following equation.

A. True
B. False
C. May Be True or False
D. Can't Say
Answer» B. False
19.

Inverse Laplace transform of 2s+5 / (s²+5s+6) is

A. 2 exp (- 2.5 t) cosh (0.5 t)
B. exp (- 2 t) + exp (- 3 t)
C. 2 exp (- 2.5 t) sinh (0.5 t)
D. 2 exp (- 2.5 t) cos 0.5 t
Answer» C. 2 exp (- 2.5 t) sinh (0.5 t)
20.

If x(z) is the Z transform of sequence xk, the z transform of sequence (kxk)is

A. A
B. B
C. C
D. D
Answer» C. C
21.

The eigen values of the following matrix are

A. 1, 1
B. - 1, - 1
C. j, - j
D. 1, - 1
Answer» E.
22.

If f(t)↔ F(jω), and f(t) is real, then F(- jω)

A. F(jω)
B. F*(j↔)
C. F*(- jω)
D. none of these
Answer» C. F*(- jω)
23.

The z-transform of sequence n x x[n] is

A. A
B. B
C. C
D. D
Answer» B. B
24.

If x^k = 2^k for k ≤ 0 and xk = 0 for k ≥ 0, Z transform of the sequence x is

A. A
B. B
C. C
D. D
Answer» E.
25.

If H(z) is given by following equation, the poles of H(z) are at

A. A
B. B
C. C
D. D
Answer» B. B
26.

Consider below given statements:

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» C. A is true, R is false
27.

If H(f) = y(t)/x(t), then for this to be true x(t) is

A. exp (j2π f/t)
B. exp (-j2π f/t)
C. exp (j2π ft)
D. exp (-j2π f/t)
Answer» D. exp (-j2π f/t)
28.

The analog signal m(t) is given below m(t) = 4 cos 100 πt + 8 sin 200 πt + cos 300 πt, the Nyquist sampling rate will be

A. 1/100
B. 1/200
C. 1/300
D. 1/600
Answer» D. 1/600
29.

Consider z transform of a signal as given below, then the response will be

A. IIR
B. FIR
C. Depends on value of n
D. Cannot determined
Answer» C. Depends on value of n
30.

For the differential equation (D³ - D² + D -1) [y(t)] = 0, the root of auxiliary equation are

A. -j, j, 1
B. -j, j, 2
C. 1, 2, j
D. 1, 2, -j
Answer» B. -j, j, 2
31.

Fourier transform of unit step function is

A. A
B. B
C. C
D. D
Answer» E.
32.

Which is the Laplace transform of x(t) = -e^(2t) ∪(t) ⊕ t ∪(t)?

A. A
B. B
C. C
D. D
Answer» C. C
33.

If X(z) = 2az¯¹/(1 - az¯¹)³ and |a| < |z|, then the initial value x₀ is

A. 0
B. 1
C.
D. 2
Answer» B. 1
34.

Assertion (A): L[e^(-at) f(t)] = F(s + a) Reason (R): In use of Laplace transform method, initial conditions may be neglected.

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» C. A is true, R is false
35.

The Laplace transform of unit ramp function starting at t = a is

A. A
B. B
C. C
D. D
Answer» D. D
36.

Which one of following is a static system?

A. A
B. B
C. C
D. D
Answer» E.
37.

The joint probability function of two discrete random variable X and Y is given by following equation. Then E(X) =

A. 8/14
B. 40/14
C. 16/14
D. 12/14
Answer» C. 16/14
38.

The function f(t) in the given figure will have its Laplace transform as

A. A
B. B
C. C
D. D
Answer» E.
39.

The period of the following function is

A. s/8
B. 8s
C. 4s
D. s/4
Answer» C. 4s
40.

Let x(t) and y(t) with F.T. x(f) and y(f) respectively be related as shown in figure. Then y(f) is

A. A
B. B
C. C
D. D
Answer» C. C
41.

The z-transform of a particular signal is given below. The system after implementation will be

A. casual and stable
B. non-casual and stable
C. non-casual and unstable
D. casual and unstable
Answer» B. non-casual and stable
42.

Assertion (A): The modified ramp function of the given figure can be represented s sum of two ramp functions of the given figure.Reason (R): If f(t) = t, F(s) = 1

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer» D. A is false, R is true
43.

If Laplace transform of f(t) is F(s), then £ f(t - a) u (t - a)= 0

A. A
B. B
C. C
D. D
Answer» C. C
44.

The sampling of a function f(l) = sin 2πf₀t starts from a zero crossing. The signal can be detected if sampling time T is

A. A
B. B
C. C
D. D
Answer» D. D
45.

If F(s) = 2s+3 / (s+1)(s+2), the terms in f(t) will have

A. A
B. B
C. C
D. D
Answer» B. B
46.

If F(s) is given by following equation, the coefficient of term e^(-t) in f(t) will be

A. 1
B. 0
C. 0.5
D. 2/3
Answer» E.
47.

The final value theorem is

A. A
B. B
C. C
D. D
Answer» B. B
48.

Laplace transform of a pulse function of magnitude E and duration from t = 0 to t = a is

A. A
B. B
C. C
D. D
Answer» D. D
49.

If £[f(t)] = F(s), then £[f(t - T)] =

A. A
B. B
C. C
D. D
Answer» C. C
50.

If A and B are given by below diagram, then A + B is

A. A
B. B
C. C
D. D
Answer» B. B