ques

EC Test ID: 1211 TarGATE14 www.gateforum.com

ICPIntensive Classroom Program eGATE-Live Internet Based Classes DLP TarGATE-All India Test Series All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. 1

Q. No. 1 25 Carry One Mark Each

1. Assertion (A): The relative stability of the system is improved by addition of the

zero to the loop transfer function

Reasoning (R): Adding left half plane zeros to function G(s) H(s) generally moves

and bends root locus to left half of s-plane

(A)A is false but R is true (B) A is true but R is false

(C) Both A & R are true and R is correct explanation for A

(D) Both A & R are true and R is not correct explanation of A

2. From the below figure, if 1 2I 1, I 0, 1 then output Out1 is

(A) High impedance (B) 0

(C) 1 (D) Complement of previous output

3. In the figure below, three TTL gates are used. The output Y is given by

(A) 0 (B) 1 (C) A B (D) AB

4. Calculate the effective inductance of the following circuit.

(A) 24H (B) 22H (C) 18H (D) 10H

a b

4H

2H

8H

4H

6H

A

B

Y

Floating input

Floating

input

1I

2Q

ddV

Out2

1Q

ddV

4Q

Out1

5Q

2I



5. How much power is consumed by a 0.5 F with a voltage of 50V?

(A) 62.5 mW (B) 0.5W (C) 0W (D) 6.25W

6. Two networks are connected in cascade. If the combination is to be represented

as a single two port network, then the parameters of the network are obtained by

product of individual

(A) ABCD parameter matrix (B) Z parameter matrix

(C) H parameter matrix (D) ABCD matrix

7. The unit of a Poynting vector is

(A) Watts (B) Watts per meter

(C) Watts per metre2 (D) Newton

8. The error (w.r.to exact solution) in estimation of the integral 1

2

0

x dx using

Simpsons rule is

(A) 0.01 (B) 0.02 (C) 0.03 (D) 0

9. Let C be any circle enclosing the origin and oriented counter clockwise, then the

value of the integral 2

z sinzdz

z is

(A) 2 i (B) 2 i (C) 0 (D) Undefined

10. A running integrator is defined by t

t Ty t x t dt

Where x (t) is the input, y (t) is the output and T is the integration period. Both

x (t) and y (t) are sample functions of stationary processes x (t) and y (t)

respectively. The PSD of the integrator output is related to that of the integrator

input as Sy (f) which is

(A) 2 2 2 xT sinc fT S f (B) 2 2

xT sinc fT S f

(C) 2 xT sinc fT S f (D) 2

xT sinc fT S f

i /p

R

C o /p



11. The PSD of a narrow band noise n(t) is shown below. The carrier frequency is 5 Hz, then the PSD of the in-phase component of n (t) is

(A) (B)

(C) (D)

12. A system has the following unit sample response

1 n 0

2 n 1h n

1 n 20 otherwise

If the input x[n] is a white noise process, then the mean of the output is

(A) 2 (B) 0 (C) 1 (D) 4

13. Find the Inverse Laplace Transform of

4

X s ,if the ROC is -2>Re s 4s 2 s 4

(A) 2t 4tx t 2e u t 2e u t (B) 2t 4tx t 2e u t 2e u t

(C) 4t 2t2 e e u t (D) None of these

fNS f 2.0

2 1 1 2f

INS f 2.0

2 1 1 2f

NS f

1.0

7 5 4 4 5 70f

2 1 1 20.50.5f

1NS f

1 0.5 0 0.5 1f

1NS f



14. Find out the maximum sine wave output voltage at 2MHz frequency, if the op-

Amp slew rate is10 V / s .

(A) 0.8V (B) 2

V (C) 10

V2

(D) 0.4V

15. Optocoupler is combination of

(A) Power transformer, and silicon transistor

(B) Photo diode and BJT

(C) Infrared LED and silicon photo transistor

(D) SCR and BJT

16. Gupta and Rashmi attended an interview. The probability that Gupta is selected is

8

9 and the probability that Rashmi selected is

5

8. The probability that neither of

them is selected is

(A) 1

9 (B)

1

8 (C)

1

24 (D)

1

72

17. 2 2 t

af s , then the value of lt f t is

s c

(A) Unity (B) Zero

(C) 1

a (D) Cannot be determined

18. A parallel polarized wave propagates from air into a dielectric at Brewsters angle of 75O. The relative permittivity of the dielectric will be ______________

19. The open loop transfer function is2

25

s 4s 25. The derivative feedback constant

for damping ratio 0.8 is ___________

20. A plane wave is reflected at normal incidence from boundary surface.

If Ei = 10 mV/m and Er = 5 mV/m, then the value of VSWR is _______________



21. In the circuit shown below, when the transistor is in active region and BEV 0.7V ,

the value of VC is _________________ (V)

22. The z-transform X z of a sequence x n is given by 11

0.5X z z

1 2z. If the

region of convergence of X z includes the unit circle, then the value of x 0 is

________________

23. Laplace transformer of sin3t cos 2t is

(A) 2 2

2 2

5s s

s 25 s 1 (B)

2 22 2

5 s

2 s 25 2 s 1

(C) 2 2

5 1

2(s 25) 2 s 1 (D)

2 2

5s 1

s 25 s 2

24. In a n-type semiconductor, Fermi level lies 0.30 eV below the conduction band at

3000K. If temperature increases to 3300K, then find the new position of Fermi

level (assume NC to be constant w.r.t temperatures).

(A) Goes up by 0.33 eV (B) Goes down by 0.33 eV

(C) Goes up by 0.37 eV (D) Goes down by 0.37 eV

25. Let A be a n n real involutary matrix and y be an n-dimensional vector. Then

the linear system of equations Ax y has

(A) No solution

(B) Unique solution

(C) More than one but finitely many solutions

(D) Infinitely many independent solutions

CCV 8V

5k

4k

4V CV



Q. No. 26 51 Carry Two Marks Each

26. A CMOS circuit is shown in the figure below. The logic function for the output is

(A) A B C DE (B) A BC D E

(C) A B C DE (D) A BC D E

27. Consider the interfacing circuit shown below

The memory map is given by (A) H000F FFFF (B) H H010F FFFF (C) H H001F FFFF (D) H H001F EFFF

28 The residue of f(z) = tan z at any of its pole is

(A) 0 (B) -1 (C) 3 (D) none

29. Which of the following system is non linear?

(A) y t 2x t 4.5 (B) y t 10x t

(C) y t 2x t 1 3x t 2 x t 3 (D) y t 2x t 1 2x t 2 3x t 3

30. Which one of the following statement does not pertain to the equation .B 0?

(A) Single magnetic pole can not exist

(B) B is solenoidal

(C) Magnetic field is perpendicular to the electric field

(D) There are no sinks and sources for magnetic fields

A

B C

D

E

5V

5V

Y

logic

input A to E

PMOS Networks

0A

1A

2A

3A

CE

2048 8

CS 216x8



31. Find the voltages V1 and V2 for the circuit shown below.

(A) 0.6 V, 2.75 V (B) 2.7 V, 2.23 V (C) 5 V, 4 V (D) 0.2 V, 0.8 V

32. In the circuit shown below, find the current i(t) for t 0 when the switch is

opened at t = 0

(A) 20t5e A (B) 40t2e A (C) 10t5e A (D) 20t2e A

33. Which of the function does not satisfy the wave equation?

(A) 50e j (t - 3z) (B) sin (10z+5t)

(C) Sinx cost (D) cos2 (y+3t)

34. The value of line integral xdy ydx taken anti clockwise along an ellipse 2 23x 2y 1 is

(A) 23

(B) 32

(C) 6 (D) 6

35. The solution curve of the equation dx

2y 2 xdy

which passes through the point

(0, 1) is

(A) x y 2 y 2 (B) y x 2 x 2 (C) x y 2 y 1 (D) y x 2 x 1

36. The frequency of the pulse at x4 in the network shown below is ____________

(Hz)

10V 2 21A

2V4

1V5

40V 30

10iA

i

20

2H

t 0

10-bit Ring

counter

4-bit parallel counter

Mod 25 Ripple

counter

4-bit Johnson counter

2-bit Ring

counter 0x

1x 2x 3x 4x 5x

320kHz



37. For the figure shown below, r t sin t. and the steady state response C(t) will

exhibit a response peak at a frequency of _______________ (rad/sec)

38. The sample function of a zero mean and unit variance Gaussian process is

uniformly sampled and then applied to a uniform quantizer having the input-

output amplitude characteristic as shown below. (See figure below)

If 1

erf 0.67782

, then the entropy of the quantizer output is _____________

(bits)

39. Assertion (A) : The stability of the system is assured if the region of convergence (ROC) includes the unit circle in the Z-plane.

Reason (R) : For a causal stable system all the poles should be outside the unit circle in the z-plane

(A) Both A and R is true but R is the correct explanation of A.

(B) Both A and R is true but R is not the correct explanation of A.

(C) A is true but R is false.

(D) A is false but R is true.

1.5

0.51

0.5

1.5

Output

input1

r t +

-

16

s s 4c t



40. The pole zero configuration of a network transfer function is shown in the figure.

The magnitude of the transfer function will

(A) Increase with frequency

(B) Decrease with frequency

(C) Be independent of frequency

(D) Initially increase and then decrease with frequency

41. For a tachometer, if t is the rotor displacement in radian, e(t) is the output

voltage and ka is the tachometer constant in V/rad/sec, then the transfer function

E s

s is

(A) ak

s (B) 2

ak s (C) ak (D) ak s

42. Cycle tyres are supplied in lots of15 and there is a chance of 1 in 100 tyres to be

defective. The approximate number of lots containing atmost one defective tyre

in a consignment of 100 lots is

(A) 60 (B) 70 (C) 80 (D) 95

43. If the nullity of 1 2 1

A 2 K 1

1 2 1

is 1, the value of K is

(A) 4 (B) 1 (C) 2 (D) 3

44. The integral x

0 y

edxdy equals

x

(A) 0 (B) 1 (C) -1 (D) 2

2 1 1 2

j

s plane



45. The transfer function C/R of the system shown below is

(A) 1 2

1 2 1 1 2

G G

1 G G H G G

(B) 1 2

1 1 2

G G

1 H G G

(C) 1 2 1 1 2

1 2 1 2

G G 1 H G G

1 G G H G G

(D) 1 2

1 2 1 1 2

G G

1 G G H G G

46. x n = cos n .u n ; x z ?3

(A) 2

2z 1z. , 0< z 1

2 z z 2 (B)

2

2z 1z. , z 1

2 z z 1

(C) 2

1 2z, 0< z 1

z z 2 (D)

2

z z 11; z 1

2 z z 1

47. A stationary random process has an autocorrelation function given by 2

| |

x 0

AR ( ) e cos 2 f

2 It is known that the random process never exceeds 6 in

magnitude. Assuming A = 6, the number of quantization levels needed to have a

SNR = 60 dB is ____________________

Common Data Questions: 48 & 49

A channel has impulse response

h t t for 0 t T

0 otherwise

The input noise to the channel has autocorrelation function 0NNN

R2

N0 = 0.6, BER at the receiver = 0.16 and 1 1erfc 0.32

2

48. The output noise power is _________________ ( 3T )

R1G 2G

1H

C



A channel has impulse response

h t t for 0 t T

0 otherwise

The input noise to the channel has autocorrelation function 0NNN

R2

N0 = 0.6, BER at the receiver = 0.16 and 1 1erfc 0.32

2

49. The output signal power is _________________ ( 3T )

Common Data Questions: 50 & 51

Consider the drain feedback biased amplifier circuit shown below. RF= 15M , RL

= 14k gm = 1mS and 3

dsr 40x10

50. The voltage gain AV is ________________

+VDD

RL

D

iL RF

CC

Vi

+

-

G

S



Consider the drain feedback biased amplifier circuit shown below. RF= 15M , RL

= 14k gm = 1mS and 3

dsr 40x10

51. The input impedance Zin is ___________________ (K )

Linked Answer Questions: Q.52 to Q.55 Carry Two Marks Each

Statement for Linked Answer Questions: 52 & 53

The transfer function of a feedback control system is given by

4 3 2

50kT s

s 20s 15s 2s k

52. Find the range of k for stability.

(A) k > 0 (B) 0 < k < 5 (C) k < 0 (D) 0 < k < 1.49

The transfer function of a feedback control system is given by

4 3 2

50kT s

s 20s 15s 2s k

53. Find the frequency in rad/sec at which system oscillates.

(A) 0.1 rad/sec (B) 0.416 rad/sec (C) 0.316 rad/sec (D) 5 rad/sec

+VDD

RL

D

iL RF

CC

Vi

+

-

G

S



Statement for Linked Answer Questions: 54 & 55

For the given figure s6v for t 0s

V t0v for t 0s

54. The current response for t 0 is

(A t6 e cos t A (B) t2

t6 e sin A

2

(C) t6e sin t A (D) t2

t6e cos A

2

For the given figure s6v for t 0s

V t0v for t 0s

55. The voltage response for t 0 is

(A t6e cos t V (B) t2

t6e sin V

2

(C) t6e sin t V (D) t2

t6e cos V

2

Q. No. 56 60 Carry One Mark Each

56. Aluminium: Bauxite:: Iron:

(A) Pyrite (B) Lignite (C) Hematite (D) Steatite

Find out the error part in the given sentences:

57. He advised me/ to think deeply/ about it/ before taking a decision.

(A) (B) (C) (D)

sV

1

1H

1

v

i

1F

sV

1

1H

1

v

i

1F



Fill in the blanks with appropriate words:

58. All these problems make me fear___________ my childrens future.

(A) For (B) of (C) on (D) about

Find the proper meaning of the word given in bold letters:

59. The business went belly up under the management of new C.E.O.

(A) Improved (B) Failed (C) Civilized (D) Rationalized

60. From a group of 6 men & 5 women, 4 persons are to be selected to form a

committee such that at least 2 men are in committee. In how many ways it can be done?

(A) 150 (B) 250 (C) 265 (D) 115

Q. No. 61 65 Carry Two Marks Each

Choose the best inference from the given statements:

61. A rabbit was enrolled in a rabbit school. It could hop well but could not swim.

The parents were concerned. They said Forget about hopping, concentrate on swimming. The rabbit went to tuitions on swimming. Finally, it got success in swimming and forgotten how to hop.

Choose the best matching conclusion:

(A) Necessity is the mother of invention.

(B) Slow and steady wins the race.

(C) A rabbit cannot swim.

(D) Strive for excellence in the field we are in

62. Anand can do a certain job in 14 days. Banti is 80% more efficient than Anand. Find the number of days it takes for Banti to do the same piece of work.

(A) 72

9 (B)

75

8 (C)

70

9 (D)

73

8

63. A jar full of whisky contains 60% alcohol. A part of this whisky is replaced by

another containing 22% alcohol and now the percentage of alcohol was found to be 42%. The quantity of whisky replaced is

(A) 10

9 (B)

9

10 (C)

9

19 (D)

10

19

64. What will be remainder when 6587 87 is divided by 88?

(A) 86 (B) 87 (C) 1 (D) 0



Information for Q.N. 65

Data of different states regarding population of states in the year 1998:

Total population of given states = 32,76,000

Following table shows that sex & literacy wise population ratio:

States Sex Literacy

Male Female Literate Illiterate

Andhra Pradesh 5 3 2 7

Madhya Pradesh 3 1 1 4

Delhi 2 3 2 1

Goa 3 5 3 2

Bihar 3 4 4 1

Uttar Pradesh 3 2 7 2

Tamil Nadu 3 4 9 4

65. What will be the total percentage of total number of males in U.P, M.P & Goa together to the total population of all given states ?

(A) 28.5% (B) 18.5% (C) 23% (D) 32%

A.P

25%

M.P

20%

Delhi

8%

Goa

12%

Bihar

11%

U.P

15%

T.N

9%

ques

Documents

b d ab

true b

false c

d undefined

watts b watts

xt sinc ft s f b

xt sinc ft s f c

xt sinc ft s f d