Www.onlineies.com Files Old GATE MOCKGATE Mock GATE-II (ECE-2012)

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Institute Of Engineering Studies Mock Test-II (ECE)

2 No.1 Training center for GATE/IES/JTO/PSUs in Bangalore@ Malleshwaram & Jayanagar , Bangalore: Ph: 0 99003 99699/ 0 97419 00225 / 080-32552008Email : [email protected] Site: www.onlineIES.com Google+: http://bit.ly/gplus_iesgate FB: www.facebook.com/onlineies

a. b. c.R 3 R 4 d. R 4 R 2 7. For the circuit shown , the operating condition for Q 1 and Q 2 are

o2 V 1 VQ

4.7 k 4.7 k

6 V

Q 1

1 mA

5 V _

2

a.Q 1 : active , Q 2 : saturation b. Q 1 :saturation , Q 2 : active c. Q 1 : saturation, Q 2 : cut-off

d. Q 1 : active , Q 2 : cut-off8. If the input to the digital circuit consisting of cascade of 20 XOR gates is X then the output Y isequal to

a.0 b.1 c. d.x9. Consider the circuit shown below. The output of a 2:1 multiplex is given by the function

a

g

1

MUX

a

bb

c c

o

X X

f

1 2

02:1

Which of the following is true

a. b. c. d.

10. Let y(t)= x(t) * h(t), then

a.


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b.c. y(t)d. y (2t)

11. . The integral for evaluates to

a.

b.

c.

d.

12. The step response of the differentiator isa. u(t)b. tu(t)c. (t) d. (t) 13. In problem, consider the unity feedback system

+-

G(s) Y(s)R(s)

With

The root-locus of this system given by which of the following

a. b.

| | || |

-8

|

|

-

-

-

-

2

-2

-4

0

4

0 2-2-4-6-10

|| | | |

Real Axis

|

I m a g e

A x i s

|

| | |

-4

|

|

-

-

-

-

2

-2

-4

0

4

0 2-2-6

|| | | |

Real Axis

|

I m a g e

A x i s

|


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SUB MIf in addition following code exists from 0109H onwards

ORI 40 HADD M

What will be the result in the accumulator after the last instruction is executed ?a.40 H b. 20 H c. 60 H d.42 H19. A paraboloid of revolution is to have a power gain of 1000 at = 10 cm. what is the diameter ofthe antenna?a. 129.1 m b. 12.91 mc. 1.291 m d. 0.1291 m20. Match List-I (Communication Service) with List-II (Bandwidth) and select the correct answer usingthe code given below the lists:

List-I List-IIa. AM Broadcast 1. 10 kHzb. Telephone 2. 4 kHzc. Wideband FM 3. 200 kHzd. TV 4. 7 MHz

Codes:A B C D

a. 1 2 3 4b. 3 4 1 2c. 1 4 3 2d. 3 2 1 421. The average number of traffic accidents on a certain section of road is two per week.

Assuming Poisson distribution find the probability of no accidents on this section ofroad during a 1-week period.(a) 0.1353 (b) 0.0183 (c) 0.4334 (d) 0

22. The regression lines of x on y and y on x are 20x-9y = 107 and 4x-5y+33=0respectively. The coefficient of correlation between x and y is(a) 0.3 (b) 0.4 (c) 0.5 (d) 0.6

23. The values of a function f(x) are tabulated below

Using the Newtons forward difference formula the cubic polynomial that can be fitted to the abovedata is?

(a) 2x 3+7x 2 -6x+2 (b) 2x 3 -7x 2 +6x-2 (c) x 3 -7x 2 -6x 2+1 (d) 2x 3 -7x 2+6x+1

24. Using the newton raphson method find the root correct to 3 decimal places of the equation sinx=1-x

(a) 0.511 (b) 0.500 (c) 0.555 (d) none25. Using the Newton-Raphson method find a root correct to the three decimal places of the equatione x =1+2x(a) 2.275 (b) 2.279 (c) 2.222 (d) None

Two Mark Questions

26. In the circuit sh own below, when is the power absorbed by the 1 resistor maximum?

x 0 1 2 3f(x) 1 2 1 10


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6V1

2

4

R

a. R=0 b. R= 2 c. R = 4 d. R= 27. In the circuit shown in figure , i(0 + ) = i(0 -) = 0.5 A. Find i for t > 0

V

V

2

t =0

0.1 H

+

_

i

100 Sin 10 t3

100

1

a. i = (1/2) sin (10 3 t 45 0 ) + e -1000 t A b. 0 c. 1 d. 28. Find the instant of time after t =0 at which V x =0 in the circuit of figure

_

F

u(t) A

0.1 H

100

+ _ 10

+ V

200

100 u(t) V

x

a.0.5 ms b. 0.693 ms c. 1 ms d. 029. An abrupt Si P-n junction (A= 10 -4 cm 2 ) has the following property at 300 K.

P-side N-side

Na = 10 17 cm -3 N d = 10 15 Then P n = ? and n p = ?a.2.25 x 10 5 cm -3 , 2.25 x 10 3 cm -3 b.1.25 x 10 3 cm -3 , 3.4 x 10 -5 cm -3 c. 0.57 x 10 -2 cm -3 , 0.92 x 10 -5 cm -3 d. 0.78 x 10 15 cm -3 , 7.2 x 10 -6 cm -3 30. An n + - poly silicon gate n-channel MOS transistor & made a P-type Si, substrate with N a = 5 x10 15 cm -3 . The Sio 2 thickness is 100 A 0 in the gate region, then the value of F isa.0.329 ev b. 0.57 ev c. 0.72 ev d. 1.25 ev31. Switches are to be controlled by two signals 1 , 2 as shown in the figure. What is the averagevalue of output


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+

1 mA

_

2

0.25o

F 3 V

5 V

1 mA

V

1

2

1

a.0 b.1.25 c. -2.5 d.432. Assume op-amp to be ideal what is the value of output

_

5 V

5 V

10 K

2.5 K

20 K

10 K

Vo1 V

o

o+

+ _

a.5 V b. -5 V c. 2 V d. 4 V33. If input to the circuit is square wave output is

o

V

o

I

o

o

o

i

DD

o

C

I

V

V


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a. triangular wave b. exponential (periodic) c. square wave d. D.C34. If the magnitude of amplifier shown is plotted against input signal frequency , then for lowfrequencies the plot will be(h fe = 10, h ie = 1K assume C 1 and C 2 to be very high such that these areshort even at low frequencies)

V

V

V20 K

o

C C

30 K10 nF2 K

i

CC

1 2

6 K

a.

b.

c.

d. 35. The initial contents of the 4-bit serial in- Parallel out right-shift, shift register shown in figure is0110. After three clock pulses are applied the content in the shift register will be

00 11

SI

Clock

a.0000 b. 0101 c. 1010 d. 1100


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36. The convolution of x (t)=u(t) u(t-2) and h(t) = -1 (a DC) results ina. (u(t)-u(t-2)b. 2c. -1d. 2t-2

37. Let impulse response of a system be . The output of the system for x(t) =cos (t) as input is

a.

b.c. cos (t)d. cos 2 (t)

38. Given that which of the follo wing can be true about the systema. stable and causal

b. noncausal and unstablec. noncausal and stabled. None of the above

39. Determine whether the closed loop system

+-

G(s) Y(s)R(s)

Where

Is stable or not. In addition, if the closed-loop system is stable, compute the gain and phase margins.

a. Stable, GM = 3 dB, PM = 24 0 b. Unstablec. Stable, GM = 24, dB, PM= 2.5 0 d. Stable, GM = dB, PM = 60 0

40. A model of a chemical process with unit feedback is

Y(s)-

G(s)R(s)+

c G (s)

Where


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A phase lag compensator is designed for the system to give additional attenuation at higherfrequencies. The compensator is

When compared with the uncompensated system (that is, G c(s) =1), the compensated system utilizingthe lag compensator:

a. provides additional attenuation at higher frequenciesb. Increases the phase lag near the cross-over frequenciesc. Decreases the gain margind. All of the above41. FM broadcast standards specify a maximum deviation of frequency to be equ al to 75 kHz and amaximum modulating frequency of 15 kHz. What is the modulation index for FM wave?a. 1/5 b. 5c. 60 d. 112542. A carrier signal at frequency 100 MHz is frequency modulated with modulation index 2 by a signalat 2 kHz. At what frequencies are the sidebands produced?a. 102 MHz and 98 MHzb. 100 MHz + 2kHz and 100 MHz 2 kHzc. 100 MHz f d , where f d is frequency deviationd. 100 MHz n 2 kHz, where n is 1, 2, , 5 integer 43. A signal m(t)= 5 cos 2 100 t freque ncy modulates a carrier. The resulting FM signal is 10 cos {(2 10 5 t) + 15 sin (2 100 t)} The approximate bandwidth of the FM signal would bea. 0.1 kHz b. 1 kHzc, 3.2 kHz d. 100 kHz44. Four signals each band-limited to 5 kHz are sampled at twice the Nyquist rate. The resulting PAMsamples are transmitted over a single channel after t ime division multiplexing. The theoreticalminimum transmission bandwidth of the channel should be equal toa. 5 kHz b. 20 kHzc. 40 kHz d. 80 kHz45. There are 2 bags one of which contains 3 black and 4 white balls while other contains 4 black and4 white balls. A dice is a cast , if face 1 or 3 turns up, a ball is taken from the first bag and if any otherface turns up, a ball is chosen from the second bag. The probability of choosing a black is?

(a) 11/21 (b) 21/11 (c)12/21 (d) 21/1246. The equation xe x 2 =0 has a root between 0.8 and 0.9. The first approximation to

the root by method of False position is(a) 0.850 (b) 0.851 (c) 0.852 (d) 0.853

47. We wish to solve x 2 -2=0 by Newton-Raphson technique let the initial gauss bex 0=1 subsequent estimate of x will be

(a) 1.414 (b)1.5 (c) 2.0 (d) NoneCommon Data for Questions 48- 49In Problem 48 and 49, consider a feedback system with open-loop transfer function

48. The break frequencies on the Bode plot are

a. = 12 and = 20 rad/s b. = 1 and = 12 rad/s c. = 2 and = 10 rad/s d. = 20 and = 1 rad/s 49. The slope of the asymptotic plot at very low ( 10) frequencies are respectively:a. At low frequency; slope = 0 dB/dec and at high frequency; slope = 20 dB/dec


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b. At low frequency; slope = 0 dB/dec and at high frequency; slope = -40 dB/decc. At low frequency; slope = -20 dB/dec and at high frequency; slope = -20 dB/decd. At low frequency; slope = 20 dB/dec and at high frequency; slope = 20 dB/decCommon Data for Questions 50- 51

Two cards are drawn in succession from a pack of 52 cards. First cards should be a king and thesecond a queen.

50. The chance when first card is replaced , is(a) 1/169 (b) 2/169 (c) 2/663 (d) 4/16951. The chance when first card is not replaced . is(a) 1/669 (b) 1/663 (c) 2/663 (d) 4/663Linked Questions (52,53)52. If V in = 30 cos(2 x 10 8 t) V, evaluate the power delivered to load

+ + _

=300 m/sins

V Vin LV o

300

300,Z

2 m

V= 2.5 x 10

(Receiver)

8

R

60 V,100 MHz _

a. 1.5 W b. 2 W c. 3W d. 0.5 W53.For the above question , co nnect a second receiver of input resistance of 300 , across the line inparallel with the first receiver . Calculate the P in now in the new case , and VSWR (S)a.1.333 W, 2 b. 1.5 W, c. 2 W, 3 d. 3W,4Linked Questions (54,55)54. A synchronous counter is steering in the sequence

3 4510

One of the possible implementation is shown below , with missing inputs to the D Flip-Flop is

FF

12 3

_

31

2

2

_

TQ

Q

Q

Q

Q

CLKo

J

K

1

D

FF

Q

FF 0 _

a. b. c. d.55.If we replace D Flip-flop with T Flip-flop , what is the required input

a. b. c. d.

General Aptitude

One Mark Questions 56.If the cost price of 12 articles is equal to the selling price of 10 articles ,find the gain or losspercent ?a.20 % loss b. 20% profit c. 16.67% loss d. 16.67% profit


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57.The proportion of milk and water in two samples is 5:2 and 7:5. If a mixer comprising of equalquantities of the two samples is made, the proportion of milk and water in the mixer isa.12:7 b. 7:12 c.109:59 d.59:10958.In what proportion must water be mixed with milk in order to gain 25% by selling it at cost pricea.1:4 b. 4:1 c. 4:5 d. 5:459.In this question , identify the pair of words ,which has a relationship similar to the pair

Tipsy : Drunkena. Intelligent : Dumb b. Generous : Cheerful c. Sensible : Lively d. Pleased : Thrilled

60.This question has a capitalized word followed by four numbered answer choices. Choose theanswer , which does not correspond with the capitalized word

Planea. Cargo b. Passengers c. Flight d. Sonar

Two mark Questions61.Fill in the blanksBy idiosyncratically refusing to dismiss an insubordinate me mber of this staff, the manager not only established policy, but he also . His chances for promotion a.instituted ; bettered b. recognized ; promoted c. contravened ; jeopardized d.reiterated ; computed62.In this question, some part of the sentence is underlined, each sentence you will find four ways ofphrasing the underlined part. Choose the best choice that follows the requirements of standard writtenEnglishThe standing committee on education has strongly recommended that value education should beintroduced

a. Value education should be introducedb. The introduction of value educationc. That the value education should be introducedd. That the introduction of value education should be carried out

63.Company Alpha buys free-travel coupons from people who are awarded the coupons by bravoairlines for flying frequently on Bravo Airplanes. The coupons are sold to people who pay less for thecoupons than they would pay by purchasing tickets from Bravo. This marketing of coupons results inlost revenue for Bravo.To discourage the buying and selling of free travel coupons , it would be best for Bravo Airlines torestrict the

a. Number of coupons that a person can be awarded in a particular yearb. Limiting use of the coupons to those who were awarded the coupons and members of their

immediate familiesc. Days that the coupons can be used from Monday through Fridayd. Amount of time That the coupons can be used after they are issued

64.This question has a set of four statements . Each statement has three segments . Choose thealternative where the third segment in the statement can be logically deduced using both thepreceding two, but not just from one of themI . An archipelago has many islands ; this is an archipelago; that has only one islandII. Clarinet is a musical instrument ; piano is costly ; clarinet is costlyIII. Films are dramas ; dramas are plays ; films are playsIV . Hard work pays ; perseverance pays ; perseverance is hard worka.II only b. III only c. I only d. IV only65.This question consists of five or six statements followed by options consisting of three statementsput together in a specific order. Choose the option which indicates a valid argument , that is , wherethe third statement is a conclusion drawn from the preceding twoA. Govind is well manneredB. Govind is gentlemanC. Some barbarians are gentlemenD. No gentleman is a barbarianE. No barbarian has manners


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F. Govind is not a barbariana. FED b. BFA c. DAC d. BDF


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Mock Test-II ECE key

1.b 2.a 3.b 4.c 5.b 6.b 7.c 8.b 9.c 10.a 11.a 12.d 13.c 14.c 15.c 16.d 17.a 18.c 19.c 20.a 21.a 22.d 23. d 24.a 25.b 26.c 27.a 28.b 29.a 30.a 31.b 32.c 33.a 34.b 35.c 36.b 37.c 38.c 39.b 40.d 41. b 42.d 43.c 44.c 45.a 46.c 47.b 48.c 49.b 50.a 51.d 52.a 53.a 54.c 55.a 56.b 57.c 58.a 59.d 60.d 61.c 62.b 63.b 64.b 65.d

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Www.onlineies.com Files Old GATE MOCKGATE Mock GATE-II (ECE-2012)