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GATE Electrical Engineering Test Online

Test Name GATE Electrical Engineering Test
Subject GATE
Test Type MCQs
Total Question 40
Total Marks 80
Total Time 40 Minutes
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Graduate Aptitude Test in Engineering (GATE) is an all India examination that primarily tests the comprehensive understanding of various undergraduate subjects in Engineering and Technology. Electrical engineering one of the prominent field of GATE Test. Electrical engineering basically deals with application of electricity, electronics and magnetism. Practical applicability of power, control, and even microelectronics is involved in this particular field of study. Our electrical engineering GATE test will covers almost subjects and topics for preparation.

GATE Electrical Engineering Test Online


1. For a periodic square wave, which one of the following statements is TRUE?


Question 1 of 40

2. In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of


Question 2 of 40

3. Choose the most appropriate word from the options given below to complete the following sentence.

He could not understand the judges awarding her the first prize, because he thought that her performance was quite ____________.


Question 3 of 40

4. The line integral of function F = yzi, in the counterclockwise direction, along the circle x² + y² = 1 at z = 1 is


Question 4 of 40

5. In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when

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Question 5 of 40

6. The overcurrent relays for the line protection and loads connected at the buses are shown in the figure.


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The relays are IDMT in nature having the characteristic

top = 0.14xTime Multiplier Setting/(Plug Setting Multiplier)⁰ ͘⁰² – 1  

The maximum and minimum fault currents at bus B are 2000 A and 500 A respectively. Assuming the time multiplier setting and plug setting for relay RB to be 0.1 and 5A respectively, the operating time of RB (in seconds) is __________.

Question 6 of 40

7. The core loss of a single phase, 230/115 V, 50 Hz power transformer is measured from 230 V side by feeding the primary (230 V side) from a variable voltage variable frequency source while keeping the secondary open circuited. The core loss is measured to be 1050 W for 230 V, 50 Hz input. The core loss is again measured to be 500 W for 138 V, 30 Hz input. The hysteresis and eddy current losses of the transformer for 230 V, 50 Hz input are respectively,


Question 7 of 40

8. The undesirable property of an electrical insulating material is


Question 8 of 40

9. A combination of 1μF capacitor with an initial voltage Vc(0) = – 2 V in series with a 100 Ω resistor is connected to a 20 mA ideal dc current source by operating both switches at t = 0 s as shown. Which of the following graphs shown in the options approximates the voltage Vs across the current source over the next few seconds?

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Question 9 of 40

10. The function shown in the figure can be represented as

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Question 10 of 40

11. A cascade of three identical modulo-5 counters has an overall modulus of


Question 11 of 40

12. An 8-pole, 3-phase, 50 Hz induction motor is operating at a speed of 700 rpm. The frequency of the rotor current of the motor in Hz is ____________.


Question 12 of 40

13. The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three circuit elements in watts is _______________

Gate Electrical Engineering 1.1

Question 13 of 40

14. Power consumed by a balanced 3-phase, 3-wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is


Question 14 of 40

15. Geneticists say that they are very close to confirming the genetic roots of psychiatric illnesses such as depression and schizophrenia, and consequently, that doctors will be able to eradicate these diseases through early identification and gene therapy. On which of the following assumptions does the statement above rely?

Question 15 of 40

16. Which of the following options is the closest in meaning to the phrase underlined in the sentence below?

It is fascinating to see life forms cope with varied environmental conditions.


Question 16 of 40

17. The root locus of a unity feedback system is shown in the figure

Gate Electrical Engineering 1.08

The closed loop transfer function of the system is


Question 17 of 40

18. Let f(x) = x ex. The maximum value of the function in the interval (0, ) is


Question 18 of 40

19. A distribution feeder of 1 km length having resistance, but negligible reactance, is fed from both the ends by 400 V, 50 Hz balanced sources. Both voltage sources S₁ and S₂ are in phase. The feeder supplies concentrated loads of unity power factor as shown in the figure.

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The contributions of S₁ and S₂ in 100 A current supplied at location P respectively, as

Question 19 of 40

20. The palghat Gap (or Palakkad Gap), a region about 30 km wide in the southern part of the Western Ghats in India, is lower than the hilly terrain to its north and south. The exact reasons for the formation of this gap are not clear. It results in the neighboring regions of Tamil Nadu getting more rainfall from the South West monsoon and the neighboring regions of Kerala having higher summer temperatures. What can be inferred from this passage?

Question 20 of 40

21. An incandescent lamp is marked 40 W, 240 V. If resistance at room temperature (26°C) is 120 Ω, and temperature coefficient of resistance is 4.5 x 10⁻³/°C, then its ‘ON’ state filament temperature in °C is approximately __________.

Question 21 of 40

22. The fuel cost functions of two power plants are

Plant P: C₁ = 0.05Pg²₁ + APg₁ + B

Plant P₂ : C₂ = 0.10Pg²₂ + 3APg₂ + 2B where, Pg₁ and Pg₂ are the generated powers of two plants, and A and B are the constants. If the two plants optimally share 100 MW load at incremental fuel cost of 100/MWh, the ratio of load shared by plants P₁ and P₂ is


Question 22 of 40

23. Round-trip tickets to a tourist destination are eligible for a discount of 10% on the total fare. In addition, groups of 4 or more get a discount of 5% on the total fare. If the one way single person fare is 100, a group of 5 tourists purchasing round-trip tickets will be charge ___________.

Question 23 of 40

24. A two bus power system shown in the figure supplies load of 1.0 + j0.5 p.u.

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The values of V in p.u. and δ₂ respectively are

Question 24 of 40

25. A 3-phase, 50 Hz, six pole induction motor has a rotor resistance of 0.1 Ω and reactance of 0.92 Ω. Neglect the voltage drop in stator and assume that the rotor resistance is constant. Given that the full load slip is 3%, the ratio of maximum torque to full load torque is

Question 25 of 40

26. Let X(s) = 3s + 5/s² + 10s + 21 be the Laplace Transform of a signal x(t). Then, x(0) is


Question 26 of 40

27. A star connected 400 V. 50 Hz, 4 pole synchronous machine gave the following open circuit and short circuit test results: Open circuit test: Voc = 400 V (rms, line-to-line) at field current, If = 2.3 A

Short circuit test: Isc = 10 A (rms, phase) at field current, If = 1.5 A

The value of per phase synchronous impedance in Ω at rated voltage is _______.


Question 27 of 40

28. A three-phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figure for the synchronization. The lamps are connected as shown in the figure for the synchronization. The phase sequence of bus voltage is R-Y-B and that of incoming generator voltage is R’-Y’-B’.

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It was found that the lamps are becoming dark in the sequence La-Lb-Lc. It means that the phase sequence of incoming generator is

Question 28 of 40

29. In an oscilloscope screen, linear sweep is applied at the


Question 29 of 40

30. For a specified input voltage and frequency. If the equivalent radius of the core of a transformer is reduced by half, the factor by which the number of turns in the primary should change to maintain the same no load current is


Question 30 of 40

31. When a point inside of a tetrahedron (a solid with four triangular surfaces) is connected by straight lines to its corners, how many (new) internal places are created with these lines?

Question 31 of 40

32. The roots of ax² + bx + c = 0 are real and positive. a, b and c are real. Then ax² + b |x| + c = 0 has


Question 32 of 40

33. In a press meet on the recent scam, the minister said, “The buck stops here”. What did the minister convey by the statement?


Question 33 of 40

34. Let X(z) = 1/1 – z ⁻³ be the Z-transform of a causal signal x[n]. Then, the values of x [2] and x [3] are


Question 34 of 40

35. In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is ________.

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Question 35 of 40

36. Let g : [0, ) [0, ) be a function defined by g(x) = x – [x], where [x] represents the integer part of x. (That is, it is the largest integer which is less than or equal to x). The value of the constant term in the Fourier series expansion of g(x) is ___________.


Question 36 of 40

37. Let S be the set of points in the complex plane corresponding to the unit circle. (That is, S = {z : |z| = 1}). Consider the function f(z) = z z* where z* denotes the complex conjugate of z. The f(z) maps S to which one of the following in the complex plane


Question 37 of 40

38. The dc current flowing in a circuit is measured by two ammeters, one PMMC and another electrodynamometer type, connected in series. The PMMC meter contains 100 turns in the coil, the flux density in the air gap is 0.2 Wb/m², and the area of the coil is 80 mm². The electrodynamometer ammeter has a change in mutual inductance with respect to deflection of 0.5 mH/deg. The spring constants of both the meters are equal. The value of current, at which the deflections of the two meters are same, is ________.


Question 38 of 40

39. A fair coin is tossed n times. The probability that the difference between the number of heads and tails is (n – 3) is


Question 39 of 40

40. Given a system of equations:

x + 2y + 2z = b

5x + y + 3z = b

Which of the following is true regarding its solutions?

Question 40 of 40


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