GATE EE

7/23/2019 GATE EE

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GATE EE Sample Test – I

1) In the circuit shown in the following figure, the current gain () of the ideal transistor is 10. The

operating point of the transistor (Vcc, Ic) is:

2) The common emitter forward current gain of the transistor shown is F = 100.

The transistor is operating in

(a) Saturation region (b) cutoff region (c) reverse active region (d) forward active region

3)

4) A single phase, 50 kVA, 1000V/100 V two winding transformer is connected as an auto

transformer as shown in the figure. The kVA rating of the auto transformer is:

(a)

45 kVA (b) 55 kVA (c) 550 kVA (d) 1000 kVA

7/23/2019 GATE EE


5)

6) An 8 pole, 3 phase, 50 Hz induction machine is operating at 700 rpm. Frequency of the rotor

current is __________

(a) 12.5 Hz (b) 25 hz (c) 3.33 Hz (c) 2 Hz

7) A 3-phase, 50 Hz, 6 pole induction motor has rotor resistance of 0.1 , reactance of 0.92. The

slip at full load is 3%. Assume stator resistance and reactance are negligible. Find the ratio of

maximum torque to full load torque

(a) 0.513 (b) 0.215 (c) 0.06 (d) 1.95

8) If the bridge shown is balanced then the capacitance C1 in µF is

(a) 0.1µF (b) 0.2µF (c) 0.3µF (d) 0.4µF

9) The Maxwell’s bridge shown in the figure is at balance. The parameters of the inductive coil are

(a)

324

4

32 , R RC L R

R R R

(b)

324

4

32 , R RC R R

R R L

(c)

32432

4 1,

R RC L

R R

R R

(d)

32432

4 1,

R RC R

R R

R L

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10) In the following circuit the voltmeter reads

(a) 0 V (b) 1 V (c) -1 V (d) 2 V

11) The bridge circuit shown in the figure below is used for measurement of an unknown element Zx.

The bridge circuit is best suited when Zx is

(a) Low resistance (b) High resistance (c) Low Q- inductor (d) Lossy capacitor

12) A three phase , 8pole induction motor runs on 50 Hz supply. The rotor bar current makes 150

complete cycles per minute. Then the rotor moves at a speed of

(a) 710 rpm (b) 713.5 rpm (c) 712.5 rpm (d) 711.5 rpm

13) ‘Crawling ‘ in an induction motor is due to

(a)

Time harmonics in supply

(b)

Slip ring rotor

(c)

Space harmonics produce by winding currents

(d)

Insufficient starting torque

14) A three phase slip ring induction motor is fed from the rotor side with stator winding short

circuited. The frequency of the currents flowing in the short circuited stator is

(a)

Slip frequency

(b)

Supply frequency

(c)

Frequency corresponding to rotor speed

(d)

Zero

15) The range of values for n-bit number for 2,s complement is

(a)

-2n to +2

n

(b)

-2n-1

to +2n-1

(c)

-2n-1-1 to +2n-1

(d)

-2n-1 to +(2n-1-1)

16) The difference bit output of a half susbtractor is same as

(a)

Difference bit output of a full subtractor

(b)

Sum bit output of a full adder

(c)

Sum bit output of a half adder

(d)

Carry bit output of a half adder

17) Determine the output frequency for a frequency division circuit that contains 12 flip-flops with an

input clock frequency of 20.48 MHz.

(a)

10.24 kHz

(b)

5 kHz

(c)

30.24 kHz

(d)

15 kHz

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18) The Boolean SOP expression obtained from the truth table below is ________.

(a)

ABC+ABC

(b)

A C+ A

(c)

(d) None of these

19) The 8-input XOR circuit shown has an output of Y = 1. Which input combination below

(ordered A – H) is correct?

(a)

10111100

(b)

10111000

(c)

11100111(d)

00011101

20) The average power delivered to an impedance (4—j3)Ω by a current 5cos(100πt+100)A is

(a) 44.2W (b) 50W (c) 62.5W (d)125W

21) The time-constant of the network shown in the figure is

R

R

C

C+

V

-

(a)CR (b)2CR (c) CR/2 (d) CR/4

22) Twelve identical wires, each of resistance 12Ω, are arranged to form the edges of a cube as shown

in fig. A current of 20ma enters into the cube at the corner A, and leaves it at the diagonally

opposite corner G . Calculate the potential difference between these two corners

2 0 m A

2 0 m A

A

HG

FE

DC

B

(a) 0.8V (b) 0.4V (c) 0.2V (d) 0.6V

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23)A 2- port network has transmission parameters

DC

B A . The input impedance of the network at

port-1, will be

(a) A/C (b) BC

AD (c)

DC

AB d)

C

D

24) The circuit shown in the given figure in resonates at

(a) All frequencies (b) 0.5 rad/ sec (c) rad/ sec (d)1rad/sec

AC

10Ω

4H1F

1F

25) The v-i characteristics as seen from the terminal pair (A, B) of the network of Fig (a) is shown in

the Fig.(b). if an inductance of value 6mH is connected across the terminal pair (A, B), the time

constant of the system will be: (GATE, 96)

(a) 3µ sec (b) 12 sec (c) 32 sec ( d) unknown, unless the actual network is specified

NETWORK OF

LINEAR RESISTORS

AND INDEPENDENT

SOURCES

i+

V

-

Fig (a)

A

B(0,0)

4mA

8V

V

Fig (b)

i

26)

(a) 4 (b) 6 (c) 8 (d) 10

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27)

(a) (V1 – V2)/2 (b) 2(V1 – V2) (c) (V1+V2) (d) (V1 – V2)

28) The dc motor, which can provide zero speed regulation at full load without any controller, is

(a) series

(b) shunt

(c) cumulative compound

(d) differential compound

29) In a dc machine, the angle between the stator and rotor field is

(a) Dependent upon the load (b) 45° (c) 90° (d) 180°

30) The A, B, C, D constants of a 200kV line are: A=D=0.941o, B=13073

o, C=0.00190

o.

If the sending end voltage of the line for a given load delivered at nominal voltage is 240 kV, the

percentage voltage regulation of the line is

(a) 5 (b) 9 (c) 16 (d) 21

31) In an unbalanced 3-φ system, phase current Ia= 901 p.u., negative sequence current Ib2=

1504 p.u., zero sequence current Ic0= 903 p.u. then magnitude of phase current Ib in p.u.

is

(a) 1.00 (b) 7.81 (c) 11.53 (d) 13.00

32) A three bus network is shown in the figure below indicating the p.u. impedances of each element

The bus admittance matrix Y-bus of the network is

(a)

02.008.00

08.012.02.0

02.03.0

j (b)

5.25.120

5.125.75

0515

j

(c)

10.008.00

08.012.02.0

02.01.0

j (d)

105.120

5.125.75

0510

j

33) A single phase transmission line and a telephone line are both symmetrically strung one below the

other,in horizontal configuartion, on a common tower. The shortest and longest distances

between the phase and the telephone conductor are 2.5 m and 3 m respectively. The voltage

(volt/km) induced in the telephone circuit, due to 50 Hz current of 100 amps in the power circuit is

(a) 4.81 (b) 3.56 (c) 2.29 (d) 1.27

7/23/2019 GATE EE


34) The block diagram shown in Fig. 1 applies error rate damping. Determine the value of error rate

factor k so that the damping ratio of the system is 0.6.

1+sk

s+2

10

s

r e c

Fig. 1(a) 1 (b) 0.179 (c) 1.79 (d) 0.1

35) The block diagram of an electronic pacemaker is given in Fig. 2, where K=400

k

S+20

1

s

r(s)

Desired

Heart Rate

Actual

Heart Rate

Fig. 2

In the above fig. 2 calculate the output c(t) for a unit step input.

(a)

)6032.17sin(154.11 010 t e

(b)

)6032.17sin(154.11 010 t e

(c)

)6032.17sin(154.11 010 t e

(d)

)12032.17sin(154.11 010 t e

36) In the above fig. 2 calculate the integral of the square of the error between the input and the

output

(a) 0.3125 (b) 0.03125 (c) 0.05 (d) 0

37) In the above fig. 2 determine the steady state error for a unit ramp input

(a) 0.5 (b)0.05 (c) 0.1 (d) 1

38) In the above fig. 2 determine the value of K for which the steady st ate error to ramp input will

be 0.02.

(a) 100 (b) 0 (c) (d) 1000

39)The input x (t) and y (t) of a system are related as

t

dt t t xt y )3cos()()( . The system is

(a)

Time –invariant and stable.

(b)

Stable and not-time – invariant.

(c)

Time – invariant and unstable.

(d)

d) Not time – invariant and unstable.

40) For the given characteristic equation 023 K Ks s s . The root locus of the system as K

varies from zero to infinity is:

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41) A system with transfer function G(s) =

is excited by . The steady state

output of the sysem is zero at

(a) w = 1 rad/s (b) w = 2 rad/s (c) w = 3 rad/s (d) w = 4 rad/s

42) A fully controlled thyristor converter is fed from a single-phase AC voltage source. When the firing

angle is 00, the dc output voltage of the converter is 300V. What will be the output voltage for a

firing angle of 600, assuming continuous conduction?

(a) 150V (b) 210V (c) 300V (d) 100V

43) An SCR is considered to be a semi-controlled device because

(a) It can be turned OFF but not ON with a gate pulse.

(b) It conducts only during one half-cycle of an alternating current wave.(c) It can be turned ON but not OFF with a gate pulse.

(d) It can be turned ON only during one half-cycle of an alternating voltage wave.

44) The circuit shows an ideal diode connected to a pure inductor and is connected to a purely

sinusoidal 50 Hz voltage source. Under ideal conditions the current waveform through the

inductor will look like

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45) A single phase fully controlled converter bridge is used for electrical braking of a separately

excited dc motor. The dc motor load is represented by an equivalent circuit as shown in the figure.

Assume that the load inductance is sufficient to ensure continuous and ripple free load current.

The firing angle of the bridge for a load current t of I0 = 10 A will be

(a) 440 (b) 51

0 (c) 129

0 (d) 136

0

46) Match the switch arrangements on the top row to the steady-stateV -I characteristics on the

lower row. The steady state operating points are shown by large black dots.

(a) P-I, Q-II, R-III, S-IV (b) P-IV, Q-III, R-I, S-II

(c) P-II, Q-IV, R-I, S-III (d) P-IV, Q-III, R-II, S-I

47) In the circuit shown in the figure, the switch is operated at a duty cycle of 0.5. A large capacitor is

connected across the load. The inductor current is assumed to be continuous.

7/23/2019 GATE EE


The average voltage across the load and the average current through the diode will respectivelybe

(a) 10 V, 2 A (b) 10 V, 8 A (c) 40 V, 8 A (d) 40 V, 2 A

48) A synchronous motor with negligible armature resistance runs at a load angle of 20° at the rated

frequency. If supply frequency is increased by 10% keeping other parameters constant, the new

load angle will be

(a) 16° (b) 18° (c) 20° (d) 22°

49) A field excitation of 20 A in a certain alternator results in an armature current of 400 A in short

circuit and a terminal voltage of 2000 V on open circuit. The magnitude of the internal voltage

drop within the machine at a load current of 200 A is

(a) 1 V (b) 10 V (c) 100 V (d) 1000 V

50) If armature current in a generating synchronous machine is in phase with the excitation emf, thearmature mmf vector

(a)

Lags behind the field mmf vector by 90°.

(b)

Is in the same direction as the field mmf vector

(c)

Is in a direction opposite to the field mmf vector

(d)

Leads the field mmf vector by 90° as observed from the stator

51) Synonym of AUGUST

(a) common (b) dignified (c) ridiculous (d) petty

52) Synonym of ADVERSITY

(a) failure (b) helplessness (c) misfortune (d) crisis

53) Synonym of LAMENT

(a) complain (b) comment (c) condone (d) console

54) Synonym of ABJECT

(a) challenge (b) miserable (c) deny (d) disobey

55) Synonym of EXTRICATE

(a) pull (b) complicate (c) tie (d) free

56) A can do a job in 10 days and B in 20 days. They start working together, but 4 days before the

finish of the job, B leaves. Find the total days it required to finish the whole job

(a) 6 (b) 8 (c) 12 (14)

57) The number of trees in a field increases by 10% in the first year and 8% in the second year, but

gets reduced by 10% in the third year. If the total number of trees at present is 13365, then find

the number of trees at the beginning

(a) 12200 (b) 11800 (c) 13100 (d) 12500

58) In a group of 600 people, 450 can speak Hindi and 350 can speak English. How many can speakboth?

(a) 100 (b) 250 (c) 200 (d) 150

59) A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the

third quarter. The average speed of the car in km/hr over the entire journey is:

(a) 30 (b) 36 (c) 40 (d) 24

60) A group of 6 students comprised of 3 boys and 3 girls. Number of ways could they be arranged in a

straight line such that no two boys are sitting together is:

(a) 144 (b) 72 (c) 108 (d) 36

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61)

Rank of the matrix

0304

0001

0324

0000

A is

(a) 1 (b) 2 (c) 3 (d) 0

62) A 5x7 matrix has all its entries equal to -1. Then rank of the matrix is

(a) 7 (b) 5m (c) 1 (d) 0

63) If the rank of the matrix given below is 2, then the value ofn is:

541

74

312

n

(a) 3 (b) 13 (c) -13 (d) none of these

64)

If

232

112

101

R , then top row of R-1

is

(a) [5 6 4] (b) [5 -3 1] (c) [2 0 -1] (d) [2 -1 0.5]

65)Let,

30

1.02 A and

b

a A

0

2/11, then (a+b) = ______________

(a) 7/20 (b) 3/20 (c) 19/60 (d) 11/20

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Answers

1) b 6) C 11) c 16) c 21) a 26) c

2) d 7) d 12) c 17) b 22) c 27) b

3) c 8) c 13) c 18) c 23) a 28) c

4) c 9) a 14) a 19) a 24) b 29) c

5) a 10) a 15) d 20) b 25) a

30) c 31) c 36) a 41) c 46) b

32) b 37) b 42) a 47) d

33) c 38) d 43) c 48) a

34) b 39) b 44) C 49) b

35) a 40) c 45) c 50) d

51) c 56) b 61) c

52) c 57) d 62) c

53) a 58) c 63) b

54) b 59) C 64) b

55) d 60) a 65) a

Total Correct:

Total Wrong:

Not attempted:

GATE EE

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