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This mock test of Electrical Engineering (EE) : Mock Test 7 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Electrical Engineering (EE) : Mock Test 7 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = 1/2, the values of P(A/B) and P(B/A) respectively are ____

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QUESTION: 2

A vector is solenoid if

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QUESTION: 3

Let A, B, C, D be n x n matrices, each with non-zero determinant, If ABCD = I, then B^{-1} is

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QUESTION: 4

When a voltage V_{0} sin ω_{0}t applied to pure inductor the current through it is l_{0}. If the voltage applied is - V_{0} sin ω_{0}t + 2 V_{0} sin 2 ω_{0}t + 3 V_{0} sin 3 ω_{0}t - 4 V_{0} sin 4 ω_{0}t, thecurrent through inductor is ___

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QUESTION: 5

A 1st order system is subjected to step input. Its time constant can be defined as

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QUESTION: 6

With introduction of derivative error compensation

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QUESTION: 7

A system has natural frequency and damping frequency as 10 and 8 rad/sec respectively. Its resonant frequency is

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QUESTION: 8

The eddy current damping can’t be applied to

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QUESTION: 9

Which one of the following is equivalent to AND-OR realisation?

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QUESTION: 10

The number of pins of 4 k x 16 ROM is ______

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QUESTION: 11

The address location of 'RST 5’ is _____

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QUESTION: 12

For the circuit shown in below figure, the quiescent point is ___

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QUESTION: 13

Thermal runaway is not possible in FET because as the temperature of FET increases

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QUESTION: 14

Inverse Laplace transform of the function is ___________

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QUESTION: 15

Consider the following statements regarding a linear discrete-time system

1. The system is stable.

2. The initial value h(0) of the impulse response is -4.

3. The steady-state output is zero for a sinusoidal discrete time input of frequency equal to one-fourth the sampling frequency.

Which of these statements are correct?

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QUESTION: 16

If a function f(t) u(t) is shifted to right side by t_{0}, then the function can be expressed as

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QUESTION: 17

If a combination of HRC fuse and circuit breaker is used, the C.B. operates for

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QUESTION: 18

As length of the line increases chargingreactance_____

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QUESTION: 19

In BWR (Boiler Water Reactor) the purposeof water is as

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QUESTION: 20

Which of the following conditions is/are desired in shunt generator______

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QUESTION: 21

The usual test for determining the efficiencyof a traction motor is _______

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QUESTION: 22

In general in a squirrel cage induction motoras the load increases

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QUESTION: 23

The operating mode of synchronous generator while delivering reactive power to grid is

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QUESTION: 24

For a thyristor delay time, rise time and spread time respectively are t_{d}, t_{r} and t_{p} . The turn on time of thyristor would be _______

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QUESTION: 25

In a semiconverter, for firing angle equal to 105° and extinction angle equal to 95°, free wheeling diode conducts for ____

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QUESTION: 26

The steady state current through '1 H' inductor in the circuit shown in below figure is ______

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QUESTION: 27

The equivalent capacitance between terminals A and B is

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QUESTION: 28

The value of integralwhere c is the circle | z | = 1 is

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QUESTION: 29

The current flowing through circuit shown in below figure is ______

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QUESTION: 30

Consider the system shown in below figure by choosing suitable choice of k, the oscillating frequency of the system is ___

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QUESTION: 31

The step response of a closed loop unity feed back control system is given by c[t] = k[1 - 1.66 e^{-8t} sin (6t + 37°)]. The closed loop transfer function of this system is _____

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QUESTION: 32

The transfer function of a 2^{nd} order system is Its magnitude at resonant frequency for the unit step input is ______

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QUESTION: 33

It is desired to measure the voltage across a 50 kΩ resistor in the circuit shown in below.If the voltmeter sensitivity is ______

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QUESTION: 34

For the ring counter shown in the figure below, is the initial state of counter Q_{3} Q_{2}Q_{1} Q_{0} = 0011. This counter is a ______

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QUESTION: 35

Time taken by 2 MHz, 8085 microprocessor to execute the following program is ______

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QUESTION: 36

A current amplifier has an input resistance of 10 Ω, an output resistance of 10 kΩ and current gain of 1000. If it is feed by a current source having to a 10 kΩ load resistance,then its power gain is____

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QUESTION: 37

Match List-I with List-II and select the correct answer using the codes given below the lists:

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QUESTION: 38

The Fourier transform of then the Fourier transform of is _______

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QUESTION: 39

Consider the power system shown in below figure.

The receiving end reactive power (Q_{R}) is _____

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QUESTION: 40

The fault impedence of the network with p.u. impedences as shown in below figure is _____

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QUESTION: 41

A 75 km long overhead line with resistance of 0.034 Ω/km and inductance of 0.54 Ω/ km for 400 kV quadrilateral conductors is to be used to transport 1800 MW at 0.9 p.f. If the line is assumed to be short transmission line, then the sending end voltage should be ______

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QUESTION: 42

A long shunt dynamo running at 1000 rpm supplies 33 kW at a terminal voltage of 220 V. The resistance of the armature shunt field and series field are 0.05 Ω, 10.0 Ω and 0.06 Ω respectively. The overall efficiency at the above load is 88%. The torqueexerted by the prime mover is ______

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QUESTION: 43

A 500 V, 40 kW, 1000 rpm d.c. shunt motor has on full load efficiency of 80%. The armature circuit resistance is 0.125 Ω and the field current is 5A. The resistance to be inserted in armature to limit starting current to 1.65 times the full load current, is ______

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QUESTION: 44

A squirrel cage type induction motor when started by means of a Y/Δ starter takes 150% of full load line current and develops 45% of full load torque at starting. If an auto transformer is employed with 75% tapping, the starting torque developed by the motor is ____

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QUESTION: 45

In the circuit shown below, thyristor is triggered for 25 μs. The latching current of thyristor is 20 mA. For successful turn on of thyristor the maximum possible value of resistance (R_{1}) is _____

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QUESTION: 46

A voltage source 200 sin 314t supplies load 50 Ω through a controlled thyristor which performs halfwave rectification. If firing angle is 30° with respect to supply voltage waveform, the average power in the load is _____

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QUESTION: 47

Match List-I (Chopper) with List-ll (V_{in}/V_{out}) by considering T_{on} = 40 ms and T_{off} = 160 ms and select the correct answer using the codes given beiow the lists.

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QUESTION: 48

Two 490 kW transformers each has a maximum efficiency of 98%, but in one the max efficiency occurs at full load while in other, it occurs at half load. Each transformer is on full load for 4 hours, on half load for 6 hours and on one tenth load for 14 hours per day

**Q. **

**The total loss of transformer 1 in a day is _____**

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QUESTION: 49

Two 490 kW transformers each has a maximum efficiency of 98%, but in one the max efficiency occurs at full load while in other, it occurs at half load. Each transformer is on full load for 4 hours, on half load for 6 hours and on one tenth load for 14 hours per day

**Q. **

**The all day efficiency of transformer 2 is _____**

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QUESTION: 50

A 2 bus power system is shown in below figure.

**Q. **

**A static capacitive reactor of 1 p.u. per phase is connected through a switch at motor bus bar. The steady state power limit of the system with capacitive reactance is ____**

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QUESTION: 51

A 2 bus power system is shown in below figure.

**Q. **

**If the capacitive reactor is replaced by an inductive reactor the steady state power limit
will be _____**

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QUESTION: 52

Given a > 0, we wish to calculate its reciprocal value 1/a by using Newton Raphson Method for f(x) = 0

**Q. **

**The Newton Raphson algorithm for the function will be ____ **

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QUESTION: 53

Given a > 0, we wish to calculate its reciprocal value 1/a by using Newton Raphson Method for f(x) = 0

**Q. **

**For a = 7 and starting with x _{0} = 0.2, the first two iterations will be ______**

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QUESTION: 54

The power flowing in a, 3 wire balanced load system is measured by two watt meter method. The reading of watt meter 'A' is 7500 W’ and that of wattmeter B is ‘-1500 W’.

**Q. **

**The power factor of the load is **

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QUESTION: 55

The power flowing in a, 3 wire balanced load system is measured by two watt meter method. The reading of watt meter 'A' is 7500 W’ and that of wattmeter B is ‘-1500 W’.

**Q. **

**If the voltage across the capacitor is 400 V, at 50 Hz frequency, the capacitor to be introduced in each phase to make the whole power measured to appear on wattmeter A is ______**

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QUESTION: 56

Physicists dream of a unified theory of matterthat could replace the current ______ ofmutually inconsistent theories and clutter the field

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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.

**OBLITERATE**

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QUESTION: 58

If Radha borrows 1,00,000 from Rani at the interest rate of 4% on simple interest and lends the same amount to Rajani at the same interest rate on compound interest basis. The net gain to Radha after 5 years is ______

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QUESTION: 59

If A : B = 2 : 3, B : C = 2 : 3 and C : D = 4 : 9 then A : D is _____

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QUESTION: 60

Two taps A and B can fill a tank in 10 hours and 15 hours, respectively. If both the taps are opened together the tank will be full in ______

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QUESTION: 61

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

**TORRENT: DROPLET**

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QUESTION: 62

**Direction :** The following item, passage consists of six sentences. The first sentence (S_{1}) and the sixth sentences (S_{6}) are given in the beginning. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S.

S_{1} : Freedom and power bring responsibility.

S_{6} : That future is not one of ease or resting but of incessant striving so that we may fulfil the pledges we have so often taken and the one we shall take today.

P : Some of these pains continue even now.

Q : Before the birth of freedom we have endured ail the pains of labour and our hearts are heavy with the memory of this sorrow.

R : Nevertheless, the past is over and it is the future that beckons to us now.

S : That responsibility rests upon this assembly, a sovereign body representing sovereign people of India.

**Q. **

**Which one of the following is the correctsequence?**

Solution:

QUESTION: 63

Direction:

(i) In this sentence is underlined in three separate parts and each one is labelled (a), (b) and (c). Read the sentence to find out whether there is an error in any underlined parts (a), (b) or (c), indicate your response on the separate Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter (d) will signify a 'No error’ response.

(ii) You are to indicate only one response for each item in your Answer Sheet. (If you indicate more than one response, your answer will be considered wrong.) Errors may be in grammar, word usage or idioms. There may be a word missing or there may be a word which should be removed.

(iii) You are not required to correct the error. You are required only to indicate your response on the Answer Sheet.

**Q. **

**It is time (a) / you start your studies seriously (b) / for the exams. (c) / No error. (d)**

Solution:

QUESTION: 64

If the date 1^{st} January, 1601 falls on Thursday, then the 1^{st} January, 2010 falls on

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QUESTION: 65

The number of rectangles excluding squares in the mesh shown in below figure is _____

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