GATE ECE PAPER 19

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General Aptitude

Q. No: 1-5 Carry One Mark Each

1. She unnecessarily picked up a quarrel with Mr Kumar and stormed out of the party.

(A) picked a quarrel (B) picked on a quarrel

(C) did a quarrel (D) made a quarrel

2. Lionesses with worn out or missing teeth are not ostracized from their pride, but live out their

old age supported by the hunting of younger females.

(A) humiliated (B) eliminated

(C) banished (D) tortured

3. The population of tigers in the National Park is increasing steadily, and this is a source of

encouragement to those who have worked so hard to fund the conservation effort.

(A) steadily, and this (B) steadily: which

(C) steadily; this trend (D) steadily, this increase

4. The value obtained if the sum of 2 3(11) and (4) is subtracted from the square of 27 is

________.

5. Atul does half as much work as Anshu in 45

of the time. If together they take 16 days to

complete the work, how much time shall Anshu take to do it?

(A) 23 (B) 25 (C) 26 (D) 30

Q. No: 6-10 Carry Two Mark Each

6. Virtually all health experts agree that second-hand smoke poses a serious health risk. After

the publication of yet another research paper explicating the link between exposure to second-

hand smoke and a shorter life span, some members of the State House of Representatives

proposed a ban on smoking in most public places in an attempt to promote quality of life and

length of lifespan.

Which of the following, if true, provides the most support for the actions of the State

Representatives?

(A) The amount of damaging chemicals and fumes released into the air by cigarette smoke is

far less than the amount released from automobiles, especially from older models.

(B) Banning smoking in most public places will not considerably reduce the percent of the

population in the state in question that smokes.




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(C) The state whose legislators are proposing the tough smoking legislation has a relatively

high percent of its population that smoke.

(D) Another state that enacted a similar law a decade ago saw a statistically significant drop

in lung-cancer rates among non-smokers.

7. In Raisin in the Sun, Lorraine Hansberry does not reject integration or the economic and

moral promise of the American dream; rather, she remains loyal to this dream while looking,

realistically, at its incomplete realization. Once we recognize this dual vision, we can accept

the plays ironic nuances as deliberate social commentaries by Hansberry rather than as the

unintentional irony that Bigsby attributes to the work. Indeed, a curiously persistent refusal

to credit Hansberry with a capacity for intentional irony has led some critics to interpret the

plays thematic conflicts as mere confusion, contradiction, or eclecticism. Isaacs, for

example, cannot easily reconcile Hansberrys intense concern for her race with her ideal of

human reconciliation. But the plays complex view of Black self-esteem and human solidarity

as compatible is no more contradictory than Du Boiss famous, well-considered ideal of

ethnic self-awareness coexisting with human unity, or Fanons emphasis on an ideal

internationalism that also accommodates national identities and roles.

Indicate the best answer: The authors primary purpose in the passage is to

(A) Explain some critics refusal to consider Raisin in the Sun a deliberately ironic play

(B) Suggest that ironic nuances ally Raisin in the Sun with Du Boiss and Fanons writings

(C) Analyze the fundamental dramatic conflicts in Raisin in the Sun

(D) Emphasize the inclusion of contradictory elements in Raisin in the Sun

8. Alicia lives in a town whose streets are on a grid system, with all streets running east-west or

north-south without breaks. Her school located on a corner, lies three blocks south and three

blocks east of his home, also located on a corner. If Alicia is equally likely to choose any

possible path from home to school, and if she only walks south or east, what is the probability

that she will walk south for the first two blocks?

If y 3 and x

2y

is a prime integer greater than 2, which of the following must be true?

I. x = y II. y = 1 III. x and y are prime integers.

(A) None (B) I only (C) II only (D) III only

10. There are 4 letters and 4 corresponding envelopes. If we put the 4 letters into the envelopes at

random, what is the probability that only one letter was into the exact envelope?

(A) 1/8 (B) 1/6 (C) 1/3 (D) 1/2

Electronics and Communication Engineering

Q. No: 1 25 Carry One Mark Each

1. If the two regression lines are 8x 10y 66 0 and 40x 18y 214 then mean of x and y

are respectively




3

(A) 13, 17 (B) 17, 13 (C) 18, 15 (D) 15, 18

2. Find 1st approximation to a real root of the equation 3x 2x 5 0 by Regula falsi method

between 2 and 3.

(A) 2.0466 (B) 2.0588 (C) 2.0614 (D) 2.0831

3. The directional derivative of 2f xy z at (1,-1, 1) in the direction of the vector a i j 2k

is

(A) 3

6 (B)

3

6

(C)

5

6 (D)

5

6

4. Evaluate 3t0

te sin tdt

5. The initial value of the transfer function 2

808X(s)

s(s 2s 101)

is _________.

6. An RL circuit is driven by a voltage source for a long time. At t = 3, the source was

disconnected. At t 3 , the inductor behaves like

(A) Voltage source (B) Capacitor

(C) Current source (D) Resistor

7. Assertion (A): In an inductor, voltage lags current by 90O

Reason (R): V j L I

(A) Both A & R are true and R is the correct explanation of A

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

(C) A is true, R is false

(D) A is false but R is true

8. In the figure shown below, the switch K is kept first at position 1 and steady state condition is

reached. At t = 0, the switch is moved to position 2. Find the current when t 0 .

K1

2

20

0.5H

100V

10




4

(A) 40t0.33e A (B) 40t3.33e A (C) 4t0.33e A (D) 4t0.33e A

9. The output voltage, V0 of the circuit shown below is ________V.(Assume diodes are ideal)

10. The emitter current in transistor Q1 for the circuit shown below is __________mA.

11. For the circuit shown below the collector to emitter voltage of transistor T1 is _________V.

5V

2k

0V1V

2V

3V

1D

2D

3D

5V

2k2k

2V

3k

10V

1Q 2Q

10

1k

T2

T1

1k

6k

4k

6k

4k




5

12. Minimum number of NAND gates required to implement half adder is ________.

13. For successive approximation type ADC using clock of frequency 125 kHz, maximum time

required to convert analog input into 8-bit digital output is _______ s.

14. The number of comparators in a 5 bit flash ADC is __________.

15. At high electric field for values usually greater than 105 V/cm drift velocity is,

(A) Linear varies with field (B) Inversely varies with square root of the field

(C) Inversely varies with field (D) Constant

16. The intrinsic carrier concentration of a semiconductor depends on

(A) Fermi energy level (B) Donor energy level

(C) Forbidden energy band (D) Acceptor energy level

17. The input to an LTI system is u t 3 . If the impulse response is as shown in figure below find

the output at t=1 and t=3 respectively

(A) 7, 4 (B) 0, 1 (C) 4, 1 (D) 0, 7

18. A finite length input sequence applied to an LT1 system and the corresponding output is shown in

the figure. Find the impulse response of the system.

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

19. An open loop system which is stable can be modified into

(A) An unstable closed loop system (B) Stable closed loop system

(C) A & B (D) None of these

1,1x n

1,0, 1,0,0y n h n

1

2

3 5 10




6

20. Which of the below transfer function cannot be realized using adder, substractor,

(A) 1

2

1G

G (B) 1

1

G

1 G H (C) 1

2

G

G (D)

1

2

1G

G

21. Characteristic equation of a system is 6 5 4 2s 2s 3s 5s 6s 10 . The system is

(A) Stable (B) unstable

(C) Marginally stable (D) cant say

22. he capacity of a binary symmetric channel with cross over probability of 0.4 is

_________bits/channel

23. Which of the following is/are correct?

(a) H x H x y I x;y

(b) H y H y x I x;y

(c) H x,y H x y H y x I x ;y

(A) a, b, c are correct (B) a & b are correct

(C) b, c are correct (D) None

24. An EM wave is incident at air conductor interface. If impedance of the conductor is

c 120 , the ratio of transmitted and incident electric field t iE E is

(A) -1 (B) 1 (C) C 60 (D) C2 120

25. A plane electromagnetic wave travelling along +z direction has its electric field given by

x yE 5cos( t z)a 5sin t z a

(A) Left circular polarized (B) right circular polarized

(C) Left elliptical polarized (D) right elliptical polarized.

Q. No. 26 55 Carry Two Marks Each

26. The system of equations in two variables 1 2 1 2x x 3, 2.5x bx 7.5 will have infinite

number of solutions if and only if b is equal to _________.

0.6

0.4 0.4

0.6




7

27. Let P be the matrix with (1,1,1,3), (1, 2, 3, 4), (2,3,4,9) as the rows. Consider the two

statements.

(I) All the three rows are linearly independent

(II) Rank of P is 3

(A) Both the statements are true (B) Both the statements are false

(C) (I) is true but (II) is false (D) (I) is false but (II) is true

28. The integral 1 i

2 2

0x y 2ixy dz

(A) is independent of the path joining 0 and 1 + i

(B) Not independent of the path joining 0 and 1 + i

(C) Value of the integral is zero

(D) None of these

29. The general solution of the D.E (x3D

3+3x

2D

2+xD+1)y = 0 (x>0) is

(A) 1 21 2 33 3

y C x x C cos ln x C sin ln x2 2

(B) 2 1 21 2 33 3


(C) 1 1 21 2 33 3


(D) 2 1 21 2 33 3


30. Consider the function 2f (x) 1 2cosx 2sin x in[0, ]. which of the following is/are

TRUE?

1. f(x) has absolute maximum at x

2. f(x) has local maximum at x / 3.

(A) 1 only (B) 2 only (C) both 1 and 2 (D) None of these




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31. The current i(t) through the circuit is

(A) 2.5cost (B) 5sint (C) 5cost (D) 10sint

32. For a series RLC circuit with C 10 F, bandwidth is 10 kHz and the resonant frequency is

20kHz. the values of R and L are

(A) R 10k , L 6.33H (B) R 10 , L 6.33 H

(C) R 100 , L 10.12H (D) R 0.1k , L 0.63mH

33. The ABCD parameters of the network shown in the following figure is

(A)

4 J7.5 J10 25

1.5 0.5J J5 1

(B)

4 J7.5 J10 25

1.5 0.5J J5 1

(C)

2 J0.5 J1 2.5

1.5 0.5J J5 1

(D)

4 J7.5 J10 5

0.5 0.5J J5 5

34. Match the following

i t 1H

5u t 1F

A 1 Trans resis tance ampSI SR

fIfI

AmpLR

Feedback

Amp

j5

j5

1E j2 2E

1




9

(A) A 1, B 2, C 3 (B) A 2, B 3, C 1

(C) A 3, B 2, C 1 (D) None of these

35. High cut-off frequency for the following second order low-pass filter is _________kHz.

B 2 Current amp

SR

Amp

fV

Feed

back

amp

LRSV

3 Transconductance amp C

SI SR

fIfI

AmpLR

Feedback

Amp

5k

3k

0.25nF 0.5nF SV

V0 25k

30k




10

36. For following voltage to current converter load current for voltage input of 7V is

___________mA.

37. Match the following.

1-SAR ADC a-Fastest conversion

2-Flash type ADC b-Most accurate

3-Dual slope ADC c-Fixed conversion time

4-Voltage to frequency ADC d-Noisy industrial environment

(A) 1 d 2 a 3 c 4 b (B) 1 a 2 d 3 c 4 b

(C) 1 c 2 b 3 d 4 a (D) 1 c 2 a 3 b 4 d

38. The truth table of a new XYFF is given below. To convert JKFF to XYFF, J and K,

respectively should be connected to

n 1

n

n

X Y Q

0 0 Q

0 1 1

1 0 0

1 1 Q

(A) X,Y (B) X,Y (C) X Y,X Y (D) XY,X

39. MVI B,BC H

M0V A,B

ADI D2H

Status of flags S, Z, Carry and Parity after the execution of instruction ADI D2 H is

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

IL Load

7V

2k 2k

2k 2k

V0




11

40. An abrupt silicon P+n junction has an n-region doping concentration of 15 3

dN 5 10 cm .

The minimum n-region width such that avalanche break down occurs before the depletion

region reaches on ohmic contact is _________ m. Consider BV 100V

(Ignore the effect of built in potential and r(Si) 11.7 )

41. An n-type Si-bar is 2cm long and has a cross-section of 2mm2mm. When a supply of 2V is

connected across it, 16mA current flows through it. If 2n 1300cm V s the doping level is

________ 12 310 atoms / cm .

42. In a BJT, the reverse saturation current Ico

(A) Doubles for every 10o rise in temperature

(B) Doubles for every 1o rise in temperature

(C) Doubles for every 5o rise in temperature

(D) Doubles for every 50o rise in temperature

43. The input x[n] and output y[n] of a causal LTI system are related through the block-diagram

representation shown in fig.

Determine a difference equation relating y[n] and x[n]

(A)

1

1

11 z

2

1 z

(B)

1

1

11 z

2

1 z

(C)

1

1

1 z

11 z

2

(D) 1

1

1 z

11 z

2

44. Assertion (A):2

2

d y(t) dy(t)2y(t) = x(t)

dt dt is stable when ROC is in between two poles

Reason (R): For any system to be stable, its ROC should lie between two poles

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

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

(C) A is true but R is false

x n y n+ +

1/ 2

-1z




12

(D) A is false but R is true

45. Consider the signal shown below.

The value of x 2t 1 at t 0.5 is _________.

46. For the signal flow graph shown in figure the value of C S

isR(S)

(A) 1 2 3 4

1 2 1 3 4 2 3 3 1 2 3 4 1 2

G G G G

1 G G H G G G G H G G G G H H

(B) 1 2 3 4

1 2 1 3 4 2 2 3 3 1 2 3 4 1 2

G G G G

1 G G H G G H G G H G G G G H H

(C) 1 2 1 3 4 2 2 3 3 1 2 3 4 1 2

1

1 G G H G G H G G H G G G G H H

(D) None

47. For the unity feedback system with forward path transfer function

K s 3 s 5G S

s 2 s 4

,

the range of K for the closed loop system to be stable is

(A) K>0.75or K




13

48. The time constant of a first order system is 2.5. Find the delay time (sec), if the maximum

value of output at steady state is unity.

49. Find the gain margin and phase margins of the feedback system with

3

sG S H S

s 2

(A) O0dB, 0 (B) , (C) 0dB, (D) O, 0

50. Consider a binary digital communication system which uses pulses g(t) & -g(t) for bandwidth

with over an AGWN channel. If the receiver uses a matched filter, which of the following

pulses will give minimum probability of error.

51. Consider white Noise with two sided power spectral density of 0N

2 passed by two systems as

shown Both LPF are identical

The ratio of output noise power of system 1 to output noise power of system 2 is _________.

52. A BPSK scheme is operating over an AWGN noise PSD of 0N

2 uses equiprobable signal

1 c

2ES sin t

T , 2

2ES sin t.

T If the local oscillator in a coherent receiver is ahead in

D g t

1

1 t

C g t

1

1 t

A g t

1

0 1. t

B

g t 1

1 t

I white noise oj2 ft3e

Ideal LPF

1PSD

II

white noise

2PSD

Ideal LPF




14

phase by 30O with respect to the received signal, the probability of error in the resulting

system is

(A) 0

3EQ

2N

(B) 0

3EQ

N

(C) 0

2EQ

N

(D) None

53. After travelling ________ m in conductor with r r5 10 s / m, 3, 4 wave with

frequency 5 MHz will get attenuated to 37% of its original value.

54. A plane wave propagating through a medium r r16, 4, & 0 has its magnetic field

given by H= z5sin t x a A / m . The wave impedance is _________ .

55. A transmission line having 100 impedance is terminated in a load of 50 75j . The VSWR is ________.

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GATE ECE PAPER 19