### Get Latest Exam Updates, Free Study materials and Tips

×
## Aptitude Series

#### 36+ videos

####
6+ Notes

#### 6+ Exercise

Clear Your Aptitude In Very

First Attempt!

**1. Impulse response is the output of ______ system due to impulse input applied at time=0?**

a) Linear

b) Time-varying

c) Time invariant

d) Linear and time-invariant

Answer: d

**2. Which of the following is correct regarding to impulse signal?**

a) x[n]δ[n] = x[0]δ[n]

b) x[n]δ[n] = δ[n]

c) x[n]δ[n] = x[n]

d) x[n]δ[n] = x[0]

Answer: a

**3. Weighted superposition of time-shifted impulse responses is termed as _______ for discrete-time signals.**

a) Convolution integral

b) Convolution multiple

c) Convolution sum

d) Convolution

Answer: c

**4. Which of the following is a correct expression for Impulse response?**

Answer: a

**5. Determine the output of a LTI system**,

a)

b)

c)

d)

Answer: a

**6. Determine the output of LTI system to**

a)

b)

c)

d)

Answer: b

**7. Find the convolution sum of sequences x1[n] = (1, 2, 3) and x2[n] = (2, 1, 4).**

a) {2, 5, 12, 11, 12}

b) {2, 12, 5, 11, 12}

c) {2, 11, 5, 12, 12}

d) {-2, 5,-12, 11, 12}

Answer: a

**8. Find the convolution sum of sequence x1[n] = {1, 2, 3} and **

Answer: a

**9. Determine the output of LTI with input x[n] =2δ(n)-δ(n-1) and h[n] given as below.**

Answer: b

**10. Consider h [n] as in figure 1 and x[n] = u[n] – u [n-3], determine the output y [n] of the LTI system?**

Answer: a

**11. The convolution sum is given by _____ equation.**

Answer: a

**12. When the sequences x1 [n] = u [n] and x2 [n] = u [n-3], the output of LTI system is given as _____**

a) y[n] = n-2, n>3

b) y[n] = n-2, n≥3

c) y[n] = n+2, n>3

d) y[n] = n-2, n≤3

Answer:b

Answer: a

**14. Is (t)*h(t) = h(t)*x(t)?**

a) True

b) False

Answer: a

**15. Compute u (t) convolved with itself?**

a) y(t)=t.u(t)

b) y(t)=u(t)

c) y(t)=t2.u(t)

d) y(t)=t.u(t-1)

Answer: a

Answer: a

**17. Convolve graphically.**

a)

b)

c)

d)

Answer: a

**18. Convolve graphically the below given signals, and determine the correct sequence?**

a) Y (-1) = 0, y (1) = 2, y (3) = 2

b) Y (-1) = 2, y (1) = 2, y (3) = 2

c) Y (-1) = 0, y (1) = 0, y (3) = 2

d) Y (-1) = 0, y (1) = 3, y (3) = 2

Answer:a

**19. Convolve given x (t) with itself and choose the correct output.**

a)

b)

c)

d)

Answer: a

**20. Find the convolution of x1[n] = {1, 2, 3, 4} and x2[n] = {2, 1, 2, 1}.**

a) Y[n] = {14, 10, 14, 10}

b) Y [n] = {14, 16, 14, 16}

c) Y [n] = {14, 16,-14,-16}

d) Y [n] = {14,-16,-14, 16}

Answer: b

**21. If two LTI systems with impulse response h1 (t) and h2 (t) and are connected in parallel then output is given by ______**

a) y(t) = x(t) *(h1(t) + h2(t))

b) y(t) = x(t) + (h1(t) + h2(t))

c) y(t) = x(t) * (h1(t) h2(t))

d) y(t) = (x(t) * h1(t)) + h2(t)

Answer: a

**22. When two LTI systems with impulse responses ha (t) and hb (t) are cascaded then equivalent response is given by ______**

a) h(t) = ha(t) + hb(t)

b) h(t) = ha(t) – hb(t)

c) h(t) = ha(t) hb(t)

d) h(t) = ha(t) * hb(t)

Answer: d

**23. What is this property of impulse response is called ___________**

**h1(t) * h2(t) = h2(t) * h1(t)**

a) Associative property

b) Commutative property

c) Distributive property

d) Closure law

Answer: b

**24. The overall impulse response of the system is given by ______**

a) h(t) = (h1(t) + h2(t) * h3(t)) – h4(t)

b) y(t) = x(t) * (h1(t) + h2(t)*h3(t)) – h4(t)

c) h(t) = (h1(t) + h2(t) * h3(t)) + h4(t) * x(t)

d) h(t) = (h1(t) h2(t) * h3(t)) – h4(t)

Answer: a

**25. The overall impulse response of the system is given by ______**

a) h[n] = (h1[n]-h2[n])*h3[n]+h5[n]*h4[n]

b) h[n] = (((h1[n]-h2[n])*h3[n])+h5[n])*h4[n]

c) h[n] = (((h1[n]-h2[n])*h3[n])-h5[n])*h4[n]

d) h[n] = (((h1[n]-h2[n])*-h3[n])-h5[n])*h4[n]

Answer: c

**26. The condition for memory-less system is given by _____**

a) h[k] = cδ[k]

b) h[k] = cδ[n-k]

c) h[k] = ch[k]δ[k]

d) h[k] = ch[n-k]δ[k]

Answer: a

**27. The causal continuous system with impulse response should satisfy ____ equation.**

a) h(t)=0,t<0

b) h(t)=0,t>0

c) h(t)≠0,t<0

d) h(t)≠0,t≤0

Answer: a

**28. Causal systems are ______**

a) Anticipative

b) Non anticipative

c) For certain cases anticipative

d) For certain cases anticipative and non anticipative

Answer: b

**29. Which of the following is true for discrete-time stable systems?**

Answer: a

**30. The impulse response of discrete-time signal is given by h [n] = u [n+3]. Whether the system is causal or not?**

a) Causal

b) Non-causal

c) Insufficient information

d) The system cannot be classified

Answer: b

**31. What is the rule h*(x+y) = (y+x)*h called?**

a) Commutativity rule

b) Associativity rule

c) Distributive rule

d) Transitive rule

Answer: a

**32. Does the system h(t) = exp([-1-2j]t) correspond to a stable system?**

a) Yes

b) No

c) Marginally Stable

d) None of the mentioned

Answer: c

**33. What is the rule h*(x*c) = (x*h)*c called?**

a) Commutativity rule

b) Associativity rule

c) Distributive rule

d) Associativity and Commutativity rule

Answer: d

**34. Is y[n] = n*cos(n*pi/4)u[n] a stable system?**

a) Yes

b) No

c) Marginally stable

d) None of the mentioned

Answer: b

**35. What is the rule (h*x)*c = h*(x*c) called?**

a) Commutativity rule

b) Associativity rule

c) Distributive rule

d) Transitive rule

Answer: b

**36. Is y[n] = n*sin(n*pi/4)u[-n] a stable system?**

a) Yes

b) No

c) Marginally stable

d) None of the mentioned

Answer: b

**37. What is the following expression equal to: h*(c*(b+d(t))), d(t) is the delta function**

a) h*c + h*b

b) h*c*b + b

c) h*c*b + h*c

d) h*c*b + h

Answer: c

**38. Does the system h(t) = exp([1-4j]t) correspond to a stable system?**

a) Yes

b) No

c) Marginally Stable

d) None of the mentioned

Answer: b

**39. The system transfer function and the input if exchanged will still give the same response.**

a) True

b) False

Answer: a

**40. For an LTI discrete system to be stable, the square sum of the impulse response should be**

a) Integral multiple of 2pi

b) Infinity

c) Finite

d) Zero

Answer: c

**41. Is discrete time convolution possible?**

a) True

b) False

Answer: a

**42. How is discrete time convolution represented?**

a) x[n] + h[n]

b) x[n] – h[n]

c) x[n] * h[n]

d) x[n] + h[n]

Answer: c

**43. What are the tools used in a graphical method of finding convolution of discrete time signals?**

a) Plotting, shifting, folding, multiplication, and addition in order

b) Scaling, shifting, multiplication, and addition in order

c) Scaling, multiplication and addition in order

d) Scaling, plotting, shifting, multiplication and addition in order

Answer: a

**44. Choose the correct equation for finding the output of a discrete time convolution?**

a) y[n] = ∑x[k]h[n-k], k from 0 to ∞

b) y[n] = ∑x[k]h[n-k], k from -∞ to +∞

c) y[n] = ∑x[k]h[k], k from 0 to ∞

d) y[n] = ∑x[k]h[n], k from -∞ to +∞

Answer: b

**45. What is a convolution sum?**

a) ∑x[k]h[n-k], k from -∞ to +∞

b) ∑x[k]*∑h[n-k], k from -∞ to +∞

c) ∑x[k]+∑h[n-k], k from -∞ to +∞

d) ∑∑x[k]h[n-k], k from -∞ to +∞

Answer: a

Answer: d

**47. Choose the properties which are followed by a discrete time convolution?**

a) Associative, commutative, distributive

b) Associative

c) Commutative and distributive

d) Distributive and associative

Answer: a

**48. What is the convolution of a signal with an impulse?**

a) Signal itself

b) Impulse

c) A new signal

d) Signal multiplied by impulse

Answer: a

**49. What is the commutative property?**

a) x(n)*h(n)=h(n)*x(n)

b) x(n)+h(n)=h(n)+x(n)

c) x(n)**h(n)=h(n)**x(n)

d) x(n)h(n)=h(n)x(n)

Answer: a

**50. What is the associative property of discrete time convolution?**

a) [x1(n) * x2(n)]*h(n) = x1(n)* [x2(n)*h(n)]

b) [x1(n) * x2(n)]+h(n) = x1(n) + [x2(n)*h(n)]

c) [x1(n) + x2(n)]*h(n) = x1(n)* [x2(n)+h(n)]

d) [x1(n) * x2(n)]h(n) = x1(n) [x2(n)*h(n)]

Answer: a

**51. What is the rule h*x = x*h called?**

a) Commutativity rule

b) Associativity rule

c) Distributive rule

d) Transitive rule

Answer: a

**52. For an LTI discrete system to be stable, the square sum of the impulse response should be**

a) Integral multiple of 2pi

b) Infinity

c) Finite

d) Zero

Answer: c

**53. What is the rule (h*x)*c = h*(x*c) called?**

a) Commutativity rule

b) Associativity rule

c) Distributive rule

d) Transitive rule

Answer: b

**54. Does the system h(t) = exp(-7t) correspond to a stable system?**

a) Yes

b) No

c) Marginally Stable

d) None of the mentioned

Answer: a

**55. What is the following expression equal to: h*(d+bd), d(t) is the delta function**

a) h + d

b) b + d

c) d

d) h + b

Answer: c

**56. Does the system h(t) = exp([14j]t) correspond to a stable system?**

a) Yes

b) No

c) Marginally Stable

d) None of the mentioned

Answer: c

**57. What is the rule c*(x*h) = (x*h)*c called?**

a) Commutativity rule

b) Associativity rule

c) Distributive rule

d) Associativity and Commutativity rule

Answer: d

**58. Is y[n] = n*sin(n*pi/4)u[-n] a causal system?**

a) Yes

b) No

c) Marginally causal

d) None of the mentioned

Answer: b

**59. The system transfer function and the input if exchanged will still give the same response.**

a) True

b) False

Answer: a

**60. Is y[n] = nu[n] a linear system?**

a) Yes

b) No

Answer: a

**1. Impulse response is the output of ______ system due to impulse input applied at time=0?**

a) Linear

b) Time varying

c) Time invariant

d) Linear and time invariant

Answer: d

**2. Which of the following is correct regarding to impulse signal?**

a) x[n]δ[n] = x[0]δ[n]

b) x[n]δ[n] = δ[n]

c) x[n]δ[n] = x[n]

d) x[n]δ[n] = x[0]

Answer: a

**3. Weighted superposition of time-shifted impulse responses is termed as _______ for discrete-time signals.**

a) Convolution integral

b) Convolution multiple

c) Convolution sum

d) Convolution

Answer: c

**4. Which of the following is a correct expression for Impulse response?**

Answer: a

**5. Determine the output of a LTI system,**

a)

b)

c)

d)

Answer: a

**6. Determine the output of LTI system to**

a)

b)

c)

d)

Answer: b

**7. Find the convolution sum of sequences x1[n] = (1, 2, 3) and x2[n] = (2, 1, 4).**

a) {2, 5, 12, 11, 12}

b) {2, 12, 5, 11, 12}

c) {2, 11, 5, 12, 12}

d) {-2, 5,-12, 11, 12}

Answer: a

**8. Find the convolution sum of sequence x1[n] = {1, 2, 3} and**

Answer: a

**9. Determine the output of LTI with input x[n] =2δ(n)-δ(n-1) and h[n] given as below.**

Answer: b

**10. Consider h [n] as in figure 1 and x[n] = u[n] – u [n-3], determine the output y [n] of the LTI system?**

Answer: a

Answer: a

**12. The Fourier series of the given signal is _______________**

a) -4/π sin x

b) 4/π sin x

c) 4/π cos x

d) -4/π cos x

Answer: b

**13. For the circuit given below, the effective inductance of the circuit across the terminal AB, is ___________**

a) 9 H

b) 21 H

c) 11 H

d) 6 H

Answer: c

**14. For the circuit given below, the inductance measured across the terminals 1 and 2 was 15 H with open terminals 3 and 4. It was 30 H when terminals 3 and 4 were short-circuited. Both the inductors are having inductances 2H. The coefficient of coupling is ______________**

a) 1

b) 0.707

c) 0.5

d) Inderminate due to insufficient data

Answer: d

**15. In the circuit given below, the resonant frequency is ________________**

Answer: b

**16. Q meter operator is the principle of __________**

a) Series resonance

b) Current resonance

c) Self-inductance

d) Eddy currents

Answer: a

**17. The probability cumulative distribution function must be monotone as well as ___________**

a) Increasing

b) Decreasing

c) Non-increasing

d) Non-decreasing

Answer: d

**18. The impedance seen by the source in the circuit is given by __________**

a) (0.54 + j0.313) Ω

b) (4 – j2) Ω

c) (4.54 – j1.69) Ω

d) (4 + j2) Ω

Answer: c

**19. In the circuit given below, the capacitor is initially having a charge of 10 C. 1 second after the switch is closed, the current in the circuit is ________**

a) 14.7 A

b) 18.5 A

c) 40.0 A

d) 50.0 A

Answer: a

**20. Convolution is used to find ____________**

a) Impulse of an LTI system

b) Frequency response of an LTI system

c) Time response of an LTI system

d) Phase response of an LTI system

Answer: c

**21. The Fourier transform of a rectangular function is ___________**

a) Another rectangular pulse

b) Triangular pulse

c) Sinc function

d) Impulse

Answer: c

**22. The property of Fourier Transform which states that the compression in time domain is equivalent to expansion in the frequency domain is ___________**

a) Duality

b) Scaling

c) Time scaling

d) Frequency shifting

Answer: b

**23. A coil of inductance 10 H, resistance 40 Ω is connected as shown in the figure. After the switch S has been in connection with point 1 for a very long time, it is moved to point 2 at t=0. For the value of R obtained, the time taken for 95 % of the stored energy dissipated is close to?**

a) 0.10 s

b) 0.15 s

c) 0.50 s

d) 1.0 s

Answer: c

**24. The function which has its Fourier transform, Laplace transform, and Z transform unity is __________**

a) Gaussian

b) Impulse

c) Sinc

d) Pulse

Answer: b

Answer: d

Answer: d

Answer: b

Answer: a

Answer: b

Answer: a

Answer: c

Answer: d

Answer: b

Answer: d

Answer: b

Answer: b

Answer: d

**38. The Fourier transform of a Gaussian pulse is also a Gaussian pulse.**

a) True

b) False

Answer: a

Answer: b

Answer: d

Answer: c

**42. Find the Fourier transform of x(t) = f(t – 2) + f(t + 2).**

a) 2F(ω)cos2ω

b) F(ω)cos2ω

c) 2F(ω)sin2ω

d) F(ω)sin2ω

Answer: a

Answer: b

Answer: d

Answer: b

Answer: b

Answer:c

Answer:b

Answer:b

Answer:d

Answer: a

Answer: d

**3. Find the Laplace transform of δ(t).**

a) 1

b) 0

c) ∞

d) 2

Answer: a

Answer: b

Answer: d

Answer: a

Answer: d

Answer: b

Answer: a

Answer: a

Answer: b

Answer: c

Answer: a

Answer: b

Answer: a

Answer: b

Answer: a

Answer: a

Answer: c

Answer: c

Answer: b

Answer: b

Answer: a

Answer: c

Answer: d

Answer: b

Answer: b

Answer: d

Answer: a

Answer: a

Answer: b

Answer: a

Answer: c

Answer: c

Answer: c

Answer: d

Answer: a

Answer: b

Answer: d

Answer: a

Answer: b

Answer: c

Answer: d

Answer: a

Answer: b

Answer: d

Answer: a

Answer: a

Answer: b

Answer: c

Answer: c

**52. For the system, y (t) = u{x (t)} which of the following holds true?**

a) System is Linear, time-invariant, causal and stable

b) System is time-invariant, causal and stable

c) System is causal and stable

d) System is stable

Answer: b

**53. Given, R = 10 Ω, L = 100 mH and C = 10 μF. Selectivity is ____________**

a) 10

b) 1.2

c) 0.15

d) 0.1

Answer: d

**54. For the circuit given below, if the frequency of the source is 50 Hz, then a value of to which results in a transient free response is _________________**

a) 0

b) 1.78 ms

c) 7.23 ms

d) 9.21 ms

Answer: b

**55. A series RC circuit excited by voltage V is __________**

a) A memory less system

b) A causal system

c) A dynamic system

d) Static system

Answer: c

Answer: a

**1. When do DTFT and ZT are equal?**

a) When σ = 0

b) When r = 1

c) When σ = 1

d) When r = 0

Answer: b

Answer: d

Answer: a

Answer: b

**5. For causal sequences, the ROC is the exterior of a circle of radius r.**

a) True

b) False

Answer: a

Answer: b

Answer: a

Answer: a

Answer: a

**10. For a right hand sequence, the ROC is entire z-plane.**

a) True

b) False

Answer: b

Answer: d

Answer: d

Answer: a

Answer: d

Answer: d

Answer: b

Answer: b

Answer: b

Answer: b

Answer: d

Answer: b

Answer: c

Answer: b

Answer: c

Answer: d

Answer: a

Answer: a

Answer: c

Answer: b

Answer: b

Answer: d

Answer: d

Answer: a

Answer: b

Answer: d

Answer: c

Answer: b

Answer: c

Answer: a

Answer: b

Answer: c

Answer: b

Answer: a

Answer: b

Answer: c

Answer: b

**1. If M and N are the orders of numerator and denominator of rational system function respectively, then how many multiplications are required in direct form-I realization of that IIR filter?**

a) M+N-1

b) M+N

c) M+N+1

d) M+N+2

Answer: c

**2. If M and N are the orders of numerator and denominator of rational system function respectively, then how many additions are required in direct form-I realization of that IIR filter?**

a) M+N-1

b) M+N

c) M+N+1

d) M+N+2

Answer: b

**3. If M and N are the orders of numerator and denominator of rational system function respectively, then how many memory locations are required in direct form-I realization of that IIR filter?**

a) M+N+1

b) M+N

c) M+N-1

d) M+N-2

Answer: a

**4. In direct form-I realization, all-pole system is placed before the all-zero system.**

a) True

b) False

Answer: b

**5. If M and N are the orders of numerator and denominator of rational system function respectively, then how many memory locations are required in direct form-II realization of that IIR filter?**

a) M+N+1

b) M+N

c) Min [M,N]

d) Max [M,N]

Answer: d

**6. The basic elements of a flow graph are branches and nodes.**

a) True

b) False

Answer: a

**7. Which of the following is true for the given signal flow graph?**

a) Two pole system

b) Two zero system

c) Two pole and two zero system

d) None of the mentioned

Answer: c

**8. What are the nodes that replace the adders in the signal flow graphs?**

a) Source node

b) Sink node

c) Branch node

d) Summing node

Answer: d

**9. The output signal of a system is extracted at a sink node.**

a) True

b) False

Answer: a

**10. If we reverse the directions of all branch transmittances and interchange the input and output in the flow graph, then the resulting structure is called as ______________**

a) Direct form-I

b) Transposed form

c) Direct form-II

d) None of the mentioned

Answer: b

**11. What does the structure given below represents?**

a) Direct form-I

b) Regular Direct form-II

c) Transposed direct form-II

d) None of the mentioned

Answer: c

**12. The structure shown below is known as ____________**

a) Parallel form structure

b) Cascade structure

c) Direct form

d) None of the mentioned

Answer: a

Answer:a

Answer:c

**13. Which of the following is an method for implementing an FIR system?**

a) Direct form

b) Cascade form

c) Lattice structure

d) All of the mentioned

Answer: d

**14. How many memory locations are used for storage of the output point of a sequence of length M in direct form realization?**

a) M+1

b) M

c) M-1

d) None of the mentioned

Answer: c

**15. The direct form realization is often called a transversal or tapped-delay-line filter.**

a) True

b) False

Answer: a

**16. What is the condition of M, if the structure according to the direct form is as follows?**

a) M even

b) M odd

c) All values of M

d) Doesn’t depend on value of M

Answer: b

**17. By combining two pairs of poles to form a fourth order filter section, by what factor we have reduced the number of multiplications?**

a) 25%

b) 30%

c) 40%

d) 50%

Answer: d

Answer: c

**19. The realization of FIR filter by frequency sampling realization can be viewed as cascade of how many filters?**

a) Two

b) Three

c) Four

d) None of the mentioned

Answer: a

Answer: d

**21. The zeros of the system function of comb filter are located at ______________**

a) Inside unit circle

b) On unit circle

c) Outside unit circle

d) None of the mentioned

Answer: b

Answer: c

Answer: b

**24. When the desired frequency response characteristic of the FIR filter is narrowband, most of the gain parameters {H(k+α)} are zero.**

a) True

b) False

Answer: a

**25. Which of the following filters have a cascade realization as shown below?**

a) IIR filter

b) Comb filter

c) High pass filter

d) FIR filter

Answer: d

Prepare For Your Placements: https://lastmomenttuitions.com/courses/placement-preparation/

/ Youtube Channel: https://www.youtube.com/channel/UCGFNZxMqKLsqWERX_N2f08Q

Follow For Latest Updates, Study Tips & More Content!

Not a member yet? Register now

Are you a member? Login now