GATE Electrical Engineering Mock Paper

7/25/2019 GATE Electrical Engineering Mock Paper

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SECTION-1 (General Aptitude)

(1 Mark Questions)

1. Out of the four alternatives, choose the one which best expresses the meaning of the following word:

PERQUISITE

A. Incentive

B. Privilege

C. Bonus

D. Reward

2. First and the last sentences of the passage are numbered 1 and 6. The rest of the passage is split into

four Parts and named P, Q, R and S. These four parts are not given in their proper order. Read thesentence and find out which of the four combinations is correct. Then find the correct answer.

1. Today, the earth has many satellites besides the moon.

P. But the pull of the earth keeps them from doing so.

Q. The artificial satellites do not fall because they are going too fast to do so.

R. They are the artificial satellites made by man and very much smaller than the moon.

S. As they speed along, they tend to go straight off into space.

6. As a result, they travel in an orbit round the earth.

A. QPSR

B. PRQS

C. SPQR

D. RQSP

3. Fill the blank with an appropriate word in the following sentence.

Make hay while the sun _____________

A. Shines

B. Is shining


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C. Was shining

D. Has been shining

4. Choose the one which meaning of the best expresses the following word:

Transient

A. Fleeting

B. Transparent

C. Feeble

D. Fanciful

5. The next term of the series 1, 5, 12, 24, 43 is

A. 51

B. 62

C. 71

D. 78

SECTION-1 (General Aptitude)

(2 Marks Questions)

6. Ravi is older than Simar by 4 years. Four years from now, the respective ratio between Ravi's age and

Simarsage will be 9 : 8. What was the Ravisage 15 years ago? (in years)

A. 19

B. 36

C. 17

D. 25

7. A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then

A,B,C jointly can finish the same work in


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A.2

4 days7

B. 30 days

C.4

8 days7

D.7

days60

Common Data for Q8 to Q10.

The following table shows the production of food grains (in million tonnes) in a State for the period 1988 to

1992.

8. During 1990, the Percentages of decrease in production of maize as against the previous year was:

A. 2.63%

B. 2.56%

C. 2.71%

D. 2.47%

9. In 1991, the increase in production over the previous year was maximum for:

A. Wheat

B. Rice

C. Maize

D. Other Cereals


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10. The increase in the production of other cereals (over the previous year) was minimum during the

year:

A. 1989

B. 1990

C. 1991

D. 1992

SECTION-2

(One Mark Questions)

11. In a high pass filter, what will be the cut-off frequency (c)if a capacitor of 90 x 10-8F is connected in

series with 45,000resistor.

A. 3.931Hz

B. 2.562Hz

C. 4.320Hz

D. 6.489Hz

12. In successive approximation of A/D converter the offset voltage is equal to LSB that gets added to

D/A convertersoutput which happens in order to:

A. Fasten speed of operation.

B. Reduce quantization error

C. Increase bits at output.

D. Cover wider range of input voltage to be converted.

13. Identify which among the following is a closed loop system?

A. Water level in storage tank

B. Digital servo motor


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C. Human brain

D. All of these

14. What will be the correct transfer function of the system?

A. G(s) = 1 - Y(s) /U(s)

B. G(s) = 1 +Y(s) /U(s)

C. G(s) = Y(s) /U(s)

D. G(s) = Y(s) /1 +U(s)

15. Bode plots characterize the:

A. stability of the signal

B. stability of the system

C. stability of the frequency

D. stability of the function

16. Which among the following network is not a traversable network?

A.

B.

C.


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D.

Answer ||| D

Solution ||| From the above set of Networks we see that network 1 and 3 contains two odd vertices, sothey are traversable.

Further it is noted that network 2 contains no odd vertices, hence it is a traversable network.

It is studied that networks 4 contains four odd vertices, so it is not a traversable network.

17. If two resistors with resistance 6.0and 8.0 are connected in series with 12.0 volt source, then

find the overall current in circuit.

A. 0.86 A

B. 0.56A

C. 0.22A

D. 1.24A

18. In mesh analysis, find voltage at source?

A. VS= R1+ R2(I1-I2)

B. VS= R1I1+ R2(I1)

C. VS= R1I1+ R2(I1-I2)

D. VS= R1I1- R2(I1-I2)

19. What are necessary conditions for maximum efficiency of transformer?

A. Iron losses = copper losses


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B. Iron losses > copper losses

C. Iron losses < copper losses

D. All of above

20. Inter poles in DC machines reduces:

A. Sparking

B. Armature reaction effect

C. Iron loss

D. Efficiency

21. The effect of armature reaction in motors and generators results in:

A. Induced emf in coils under pole tips will increase.

B. Induced emf in coils under pole tips will decrease.

C. Induced emf in coils under pole tips will increases with low flux density.

D. Induced emf in coils under pole tips will decreases due to low flux density.

22. Thyristors are used in HVDC transmission to improve:

A. Rating of current

B. Rating of voltage

C. Rating of temperature

D. Rating of output

23. A Power Diode is used where:

A. A large current is involved

B. A small current is required

C. Negligible amount of current is required

D. Dangerously high current is required


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24. Fault types in transmission lines are those which has:

A. Multi line to ground

B. Line to two lines

C. Overhead line

D. Three phase balanced lines

25. To increase distance among transmission line, the lines should carry:

A. Series resistances

B. Synchronous reactor

C. Shunt capacitors

D. Series capacitors and shunt reactors

26. Which among the following terminal devices are not applied as solid state relay?

A. Triac

B. SCRs

C. Diac

D. FET

27. Which signal represents the graph?

A. Time Shifting

B. Time Scaling

C. Time Inversion


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D. Time variant

28. Which type of signal is shown in the figure?

A. Casual signal

B. Discrete time signal

C. Periodic signal

D. Random signal

29. ___________system is a type of system in which the output depends on current and past inputs, but not

on future inputs.

A. Casual

B. Non casual

C. Continuous

D. Discrete

30. In a coil of 2mH inductance, a current changes from 0.2 A to 1.5 A during time 0.2 s. What will be the

magnitude of average induced emf in the coil?

A.-0.013 V

B. 0.023 V

C.-0.043 V

D. 0.033 V

31. Which among the following information is incorrect in terms of Instrument transformers?


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A. In magnetic circuit, the primary winding induces a current

B. It incur losses from resistance

C. The ratio serves as relationship of primary rating to secondary rating

D. They have polarity marks with primary and secondary terminal

32. A solution of the following differential equation is given by 2

2

d y dy5 6y 0

dxdx

A. 2x 3xy e e

B. 2x 3xy e e

C.

2x 3xy e e

D.

2x 3xy e e

33. A linear system is equivalently represented by two sets of state equations X = AX + BU and W = CW +

DU. The eigen values of the representations are also computed as []and []. Which one of the following

statements is true?

A. []= [] and X = W

B. []= [] and X W

C. [][] and X = W

D. [][] and X W

34. The integral3

0sin d

is given by

A.1

2

B.2

3

C.4

3


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D.8

3

SECTION-2

(Two Mark Questions)

35. What will be the value of Rc in the circuit, if gain is 75 and Vois 4V?

A. 1.2 Kohm

B. 1.2 ohm

C. 0.012 Kohm

D 0.012 ohm


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36. Calculate the power efficiency in Class B amplifier circuit

A. 70%

B. 77%

C. 80%

D. 85

37. In 555-timer circuit, if output is low then current will flow through device and switch it on. It is a

case of:

A. Sourcing current

B. Sinking current

C. Sourcing and sinking current

D. Output current

38. Find the Steady-State Error in Response to a Unit Step Reference r(t)

A. r(t)=1

B. r(t)=y(t)

C. r(t)=0

D. r(t)=e(t)


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39. In a state transition matrix (t) = eAtthe state signalx(t)is a transition ofx0at t0to t>t0. What will be

the expression for x(t)?

A. (t t0)x0

B. (t + t0)x0

C. (t x t0)x0

D. (t / t0)x0

40. The correct expression for Masons Gain formula for the overall gain of the system is:

A. T = kPk k

B. T = 1/ kPk k

C. T = 1/ kPk

D. T = 1/ kk

41. The figure shows an RC capacitor circuit. In this, select the state equation which shows about circuit.

A. qc1= [R1+ R2+ R3/R1(R2+ R3)][V1+ V121/C qc1

B. qc1= [R1+ R2+ R3/R1(R2+ R3)][V1- V121/C qc1

C. qc1= [R1+ R2+ R3/R1(R2+ R3)][V121/C qc1

D. qc1= [R1+ R2+ R3/R1(R2+ R3)][V111/C qc1


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42. Identify the correct statement for the circuit?

A. If VIN, is fixed DC voltage, capacitor C will charge through resistor R

B. The VOUTwill be maximum

C. If VINchanges slowly, C will charge or discharge with change

D. If VINchanges rapidly, C will not charge or discharge through R and VOUTis same as VIN.

43. Find the Thvenin equivalent against 7k ohm resistor in circuit shown?

A. 3.315V

B. 3.649V

C. 3.874V

D. 4.124V

44. What will be the total power in the balanced Delta Delta connected system?

A. Ptotal= 3.174 kW

B. Ptotal= 4.474 kW

C. Ptotal= 5.554 kW


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D. Ptotal= 6.164 kW

45. In transformer parallel operations, which among the following is incorrect?

A. Polarity of transformers connected in parallel is same to avoid short circuit.

B. Voltage Ratio of two transformers is equal as it avoid losses occur due to load circulating currents.

C. Zero Relative Phase Displacement is used for 3 phase transformers.

D. The phase sequence need not to be same and varies.

46. If in a transformer you want to step 132V line down to 120V, which autotransformer should be use

and what will be the physical size in order to handle a 10kVA load?

A. 0.41kVA

B. 0.33kVA

C. 0.78kVA

D. 0.91kVA

47. Short pitch winding:

A. Has low noise

B. Increases inductance

C. Suppress harmonics

D. Reduces eddy currents

48. Which among the following are advantages of Power MOSFET?

A. It has high input impedance.

B. High breakdown voltages of 600V.

C. Susceptible to thermal runaway in power supply applications requiring constant current.

D. Fast transient switching induces greater radiated and conducted emissions.


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49. In triac circuit, two thyristors are connected in reverse parallel:

A. To increase the ability of triggering into conduction

B. To increase the speed

C. To increase the current flow in conduction

D. To increase the inductance of triggering

50. By which triggering methods, values of circuit is determined on trial and error basis for pulse period.

A. Open loop triggering

B. Optical triggering

C. Induced voltage triggering

D. Conduction triggering

51. In the circuit shown below, which statement is correct?

A.When source Vinis positive, then current flows out of source through S1

B.When source Vinis negative, then current flows out of source through S1

C.When source Vinis positive, then current flows out of source through S2

D.When source Vinis negative, then current flows out of source through S2

52. The effect of capacitance in an overhead transmission lines can be neglected if the length of line is:

A. Less than 300 km

B. Less than 260 km

C. Less than 120 km


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D. Less than 70 km

53. Calculate the series arm resistance of T type symmetrical attenuator having load resistance of 40 dB

attenuation having load resistance 400.

A. 275

B. 400

C. 393

D. 154

54. What will be the load resistance of a transmission line having characteristic impedance of 50that

gets terminated by a resistive load having minimum and maximum voltages of 10Vand 15V?

A. 33.333

B. 333.33

C. 3.3333

D. 3333.33

55. If a signal xc(t) having fourier transform Xc()is sampled with ideal sampling having Ts= 104

seconds, then which of the following case, determines the recovery of signal xc(t).

A. If Xc()= 1, then we can guarantee recover the signal xc(t)

B. If Xc()= 0, then we can guarantee recover the signal xc(t)

C. If Xc()> 0, then we can guarantee recover the signal xc(t)

D. If Xc()< 0, then we can guarantee recover the signal xc(t)

56. See whether the following system is linear, time invariant or casual?

Y[n]=X[n] X[n-5]

A. linear

B. Time invariant

C. Casual

D. All of these


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57. In a circular loop of wire of radius R with current I, what will be the magnetic induction B on the axis

of the loop at a distance z from the center of the loop?

A.Bz= 0R2/(2z3)

B. Bz= 0IR/(2z3)

C.Bz= 0IR2/(2z)

D. Bz= 0IR2/(2z3)

58. In a pure resistor, the rms voltage is 120 V, current is 10 A and frequency is 60 Hz. What will be the

Peak voltage and current?

A. VP= 169.7 V, IP= 14.14 A.

B. VP= 178.9 V, IP= 12.34 A.

C. VP= 122.1 V, IP= 11.21 A.

D. VP= 112.3 V, IP= 26.87 A.

59. If an Ammeter having 75mV @3mA having full scale of 5 mA is applied to measure, then what will be

the current in the circuit when Ammeter is having an insertion?

A. 0.015mA

B. 0.2A

C. 0.2mA

D. 0.65mA

60. If an input of 7.25 volts is applied in dual slope A/D with resistance of 50kand capacitance of 0.20

F having reference voltage as 15 volts with 20ms as fixed integration, then find the conversion time?

A. 9.66ms

B. 20ms

C. 15ms

D. 29.66ms


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61. For the matrix

4 2

2 4

the eigenvalue corresponding to the eigenvector

101

101

is:

A. 2

B. 4

C. 6

D. 8

62. For the differential equation

22

2

d yk y 0

dx the boundary conditions are

(i) y = 0 for x = 0 and

(ii) y = 0 for x = a

The form of non-zero solutions of y (where m varies over all integers) are

A. mm

m xy A sin

a

B. mm

m xy A cos

a

C.

m x

a

mm

y A x

D.

m x

am

m

y A e

63. The maximum value of 3 2f(x) x 9x 24x 5 in the interval [1, 6] is

A. 21

B. 25

C. 41

D. 46


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64. A fair coin is tossed till a head appears for the first time. The probability that the number of required

tosses is odd, is

A. 1/3

B. 1/2

C. 2/3

D. 3/4

65. Function f is known at the following points

x 0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0

f(x) 0 0.09 0.36 0.81 1.44 2.25 3.24 4.41 5.76 7.29 9.00

The value

3

0( )f x dx

computed using the trapezoidal rule is

A. 8.983

B. 9.003

C. 9.017

D. 9.045


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GATE Electrical Engineering Mock Paper

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