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This mock test of Electrical Engineering (EE) : Mock Test 4 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Electrical Engineering (EE) : Mock Test 4 For GATE (mcq) to study with solutions a complete question bank.
The solved questions answers in this Electrical Engineering (EE) : Mock Test 4 For GATE quiz give you a good mix of easy questions and tough questions. GATE
students definitely take this Electrical Engineering (EE) : Mock Test 4 For GATE exercise for a better result in the exam. You can find other Electrical Engineering (EE) : Mock Test 4 For GATE extra questions,
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QUESTION: 1

If x = a(θ + sin θ) and y = a(1 - cos θ), then dy/dx will be equal to _____

Solution:

QUESTION: 2

A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?

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QUESTION: 3

The eigen values of a matrix A are 1, -2 and 3. The eigen values of 3I - 2A + A^{2} are _____

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QUESTION: 4

In 'ABCD' parameters of a two port network,the condition for reciprocity is ____

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QUESTION: 5

The equivalent resistance across terminals A & B of the circuit shown in below figure is____

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QUESTION: 6

In a 2^{nd} order system, the peak over shoot is 100%, the value of damping factor is _____

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QUESTION: 7

For a stable system GM and PM respectively, are

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QUESTION: 8

The most efficient method of damping is

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QUESTION: 9

Two resistance 100 ± 5 Ω and 200 ± 10 Ω are connected in series. If the deviations are standard deviations, the resultant resistance is _____

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QUESTION: 10

A current transformer has a rating of 100/5 A. Its magnetizing and loss components of exciting current are 2 A and 1 A respectively and secondary winding burden is purely resistive, its transformation ratioat rated current is _____

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QUESTION: 11

In the logic circuit shown in below figure, if A = 0 & B = 1 then possible values of C & X respectively

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QUESTION: 12

Which of the following logic gates use leasl power

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QUESTION: 13

In an FETas V_{GS} increasing in reverse bias, the value of g_{m}

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QUESTION: 14

Two parallel infinite filamentary wires carrying equal currents and separated by ‘2h’ distance. If the currents are in opposite direction to each other, then the magnitude of magnetic field at the centre of twoconductors is______

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QUESTION: 15

If a plot of signal x(t) is as shown in the below figure,

then the plot of the signal x(1 -t) will be

Solution:

x(1 +t ) is the shifted version of x(t) towards left by one unit. x(1 - t) is the mirror image of x(1 + t) along vertical axis.

QUESTION: 16

The z transform of the sequence (a^{k}) for k __>__ 0 is _____

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QUESTION: 17

A river has a discharge of 400 liters/sec and the available head is 80 m. If the machine efficiency is 87%, the power delivered is

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QUESTION: 18

Corona loss of a 400 kV, 75 Hz transmission is 4800 W. The corona loss of the system,for 25 Hz, 400 kV input will be_______

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QUESTION: 19

Choose the incorrect statement related to SF_{6} gas

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QUESTION: 20

The number of parallel paths in a 4 layer, 8 pole wave winding d.c. machine is

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QUESTION: 21

A d.c, differentia! compound generator acts as

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QUESTION: 22

The maximum efficiency of a 50 KVA transformer having iron loss of 450 W and full load copper loss as 800 W occurs at

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QUESTION: 23

The main advantage of universal motor is

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QUESTION: 24

The power electronic device can be used incurrent source inverter (CSI) is_____________

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QUESTION: 25

In the circuit shown in below if Th1 has turnoff period as 32 μs, the suitable value of capacitor is _______

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QUESTION: 26

The values of a, b and c such that is irrotational, are, respectively

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QUESTION: 27

In a unsymmetrical transmission system the distance between conductors ab, be and ca is 3 m, 4 m and 5 m respectively. The radius of each conductor is 2 cm. Thecapacitance of each phase is _______

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QUESTION: 28

The eigen values of the matrix

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QUESTION: 29

The network A in figures (a) and (b) is a passive and contains only linear resistors. The currents in figure (a) are as marked. The value of lx in figure (b) is _______

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QUESTION: 30

A system has a transfer function G(s) = Value of “ω” at which imaginary magnitude is zero is _________

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QUESTION: 31

A portion of the polar plot of an open-loop transfer function is shown in the figure:

The phase margin and gain margin will be respectively

Solution:

QUESTION: 32

A control system is represented in state space as shown in below:

The transfer function

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QUESTION: 33

A 50 V range spring controlled, electrodynamic voltmeter having a square law scale response takes 0.05 A on d.c. for full scale deflection of 90°. The control constant is 0.5 x 10^{-6} N-m/degree and the initial mutual inductance of the instrument is 200 mH. The total mutual inductance at90° deflection is

Solution:

QUESTION: 34

The meter constant of a 230 V, 10 A watt hour meter is 1800 revolutions/kWh. The meter is tested at half load and rated voltage and unity p.f. The meter is found to make 80 revolutions in 138 sec. The meter error athalf load is _______

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QUESTION: 35

If a counter having 10 FFs attains 0 with 1^{st} dock pulse, the count of counter after 2060 pulses is____________

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QUESTION: 36

In a 8085 microprocessor after execution of ‘RIM’ instruction if the contents of accumulator is 49 H, then

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QUESTION: 37

Consider the circuit shown in below. The input impedance of the OP-AMP is _____

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QUESTION: 38

A common emitter amplifier with an external capacitor C_{c} connected across the base and collector of transistor as shown in below figure.

The transistor g_{m} = 5 mA/V and r_{π} = 20 kQ. In its equivalent representation if the input capacitance and the output capacitance are observed as 52 pF and 25.5 pF respectively, then the upper cutoff frequency of the amplifier is ______

Solution:

QUESTION: 39

A magnetic field exists at a point. If a charge moving with a velocity experiences no force at that point. Then the component of electric field at that point is ______

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QUESTION: 40

Consider a random sinusoidal signal x(t) = where a random variable is uniformly distributed in the range ±π/2. The mean value of x(t) is

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QUESTION: 41

Consider the circuit shown in below figure The Thevinin’s zero sequence impedance at point ‘A’ is ______

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QUESTION: 42

A 50 Hz, transmission line has parameters per km as R = 0.3 Ω, L = 1.5 mH, G = 0.01 C = 0.1 μF. The characteristic impedance of the line is _______

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QUESTION: 43

A synchronous generator is rated 500 MVA, 21 kV, 0.85 lag P.F. It has synchronous reactance of 1.0 Ω. While generator feeding full load at 0.85 P.F. lagging at rated voltage, the excitation emf per phase of the generator is ______

Solution:

QUESTION: 44

A 200/400 V, 50 Hz transformer data of the o.c. test is given as 200 V, 0.8 A, 56 W on LV side. The magnetizing reactanceequivalent of the transformer is

Solution:

QUESTION: 45

In a test for the determination of the losses of 400 V, 50 Hz transformer, the total iron losses were found to be 2500 W at normal voltage and frequency. When the applied voltage and frequency were reduced to 250 V, 25 Hz, the total iron losses were found to be 1000 W. The hysterisis losses at normalvoltage and frequency is ______

Solution:

QUESTION: 46

An 8 pole, 50 Hz, slipring induction motor has effective rotor resistance of 0.10 Ω/phase and its stalling speed is 600 rpm. The resistance to be inserted in rotor phase to obtain maximum torque at starting, by ignoring the magnetizing current and statorleakage impedance is

Solution:

QUESTION: 47

A single phase full bridge inverter has RlC load of R = 4 Ω, L = 35 mH and C = 155 μF. The dc input voltage is 230 V and output frequency is 50 Hz. The 3^{rd} harmoniccomponent in load current is _____

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QUESTION: 48

The Norton's equivalent impedance acrossterminals A and B is ______

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QUESTION: 49

The Thevenin s equivalent voltage across the terminals A and B is _____

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QUESTION: 50

A 200 V shunt motor with shunt resistance of 40 Ω and armature resistance of 0.02 Ω takes a current of 55 A and runs at 850 rpm, when there is a resistance of 0.58 Ω in series with, armature.

**Q. **

**Torque remaining the same, to raise the speed to 750 rpm the resistance to be added in armature is ______**

Solution:

QUESTION: 51

A 200 V shunt motor with shunt resistance of 40 Ω and armature resistance of 0.02 Ω takes a current of 55 A and runs at 850 rpm, when there is a resistance of 0.58 Ω in series with, armature.

**Q. **

**If the load torque is reduced such that motor armature current is 25 A, then the speed of the motor is ______ **

Solution:

QUESTION: 52

The element Y_{33} of admittance bus is ______

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QUESTION: 53

The active power (P) of bus 3 is _____

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QUESTION: 54

The speed of a 220 V, 20 A, 1000 rpm separately motor is controlled using a step down chopper. Input of the chopper is 250 V, armature resistance of motor are 1 Ω. If duty ratio of the chopper is 0.8 and average current is 16 A.

**Q. **

**The speed of the motor is _____**

Solution:

QUESTION: 55

The speed of a 220 V, 20 A, 1000 rpm separately motor is controlled using a step down chopper. Input of the chopper is 250 V, armature resistance of motor are 1 Ω. If duty ratio of the chopper is 0.8 and average current is 16 A.

**Q. **

**With above speed, duty ratio of chopper is 0.75 the torque developed by the motor is ____**

Solution:

QUESTION: 56

**Direction: **The following item consists of a word in capita! letters, followed by four words or groups of words. Select the word or group of words that is most nearly in meaning to the word in capital letters.

**QUIESCENT**

Solution:

QUESTION: 57

**Direction:** The following item consists of a word In capital letters, followed by four words or groups of words. Select the word or group of words that is most nearly opposite in meaning to the word in capital letters.

**CONSANGUINE**

Solution:

QUESTION: 58

**Direction: **In the following question, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled, P, Q, R and S to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accordingly.

**Q. **

**The preference**

** **

**Which one of the following is the correct sequences?**

Solution:

QUESTION: 59

If log_{27}x + log_{9}x + log_{3}x = 11, the value of x is ____

Solution:

QUESTION: 60

The letters of word ANIRUDH are arranged in such that no two of the vowels should come to together. The total number of arrangements are ______

Solution:

QUESTION: 61

**Direction: **The following question, a related pair of word is followed by four pairs of words. Select the pair that best expresses a relationship similar to that expressed in the original pair.

**PROMPTU : REHEARSAL**

Solution:

QUESTION: 62

**Direction:** Look at the italicized part of the sentence. Below the sentence is given three substitutions for the italicized part. If one of them (a), (b) or (c) is better than the italicized part, indicate your response on the Answer Sheet against the corresponding letter (a), (b) or (c). If none of the substitutions improve the sentence, indicate (d) as your response on the Answer Sheet.

Thus a 'No improvement’ response will be signified by the letter (d).

**Q.**

I would prefer *to jog to walking.*

Solution:

QUESTION: 63

Solution:

QUESTION: 64

The unit digit number is 18^{18} x 19^{21} x 13^{11} x11^{13} x21^{24} is ______

Solution:

QUESTION: 65

How much percentage more than the cost price should a shopkeeper mark his goods, so that after allowing a discount of 12.5%, he should have a gain of 5% on cost price,

Solution:

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