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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Electrical Engineering (EE) MCQ

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Electrical Engineering (EE) MCQ


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30 Questions MCQ Test - GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23)

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) below.
Solutions of GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) questions in English are available as part of our course for Electrical Engineering (EE) & GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) solutions in Hindi for Electrical Engineering (EE) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) | 65 questions in 180 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study for Electrical Engineering (EE) Exam | Download free PDF with solutions
GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 1
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Choose the appropriate word from the given options and fill in the blank.

Productive employment is the only __________ solution to poverty in any country.

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 1

Solution that can be implemented practically and can be maintained for a long run is required to solve the problem of poverty in any country. 'Sustainable' means able to be kept going or maintained, as an action or process. Therefore, 'sustainable' suits the best here. 'Necessary' means needed to be done and 'satisfactory' means fulfilling expectations or needs. 'Required' means considered essential. The word 'only' supports option (1).

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 2
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In the question given below there are three statements followed by three conclusions. You have to read the given three statements and take them to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the conclusions logically follows from the given three statements, disregarding commonly known facts.

Statements :

(i) Some tennis fans are finicky.

(ii) All basketball players are smart.

(iii) Some smart people are finicky.

Conclusions:

(i) Some bas basket ball players are finicky.

(ii) Some tennis fans are basketball players.

(iii) Some smart people are tennis fans.

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 2
From the given diagram, non follows

TF = Tennis Fans

F = Finicky

S= Smart

BP = Basketball players.

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GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 3
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Which one of the following is the antonym of the word HOSTILE?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 3
'Hostile' means 'unfriendly' and 'amicable' means 'friendly'.
GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 4
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The following sentence has been divided into four parts indicated by a number. One of the parts contains a usage or grammar error. Mark that number indicating that part of the sentence as your answer.

The judiciary, like a) / the other two branches of b) / the state, should not over- reach, over- step c) / or transgresses its boundaries. d)
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 4
An error of Parallelism.

It should be ‘Transgress’ instead of ‘transgresses’.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 5
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273 - 272 - 271 is the same as
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 5

Let X = 273 - 272 - 271

= 4 × 271 - 2 × 271 - 271

= 271(4 - 2 - 1)

= 271

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 6
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The remainder when 260 is divided by 5 is
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 6
The last digit of the powers of 2 repeat in the order 2, 4, 8, 6, 2, 4, 8, 6, … Thus, every power of 2, i.e. a multiple of 4, has last digit 6. The 60th power will, hence, have 6 as the last digit, and hence, the remainder when divided by 5 is 1.

[Note: This method cannot be applied where the divisor is not 5, 10.]

Alternate method,.

.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 7
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A milkman purchases milk at Rs. x per litre and sells it at Rs. 2x per litre. Still, he mixes 1 litre water with every 5 litres of pure milk. What is the profit percentage?
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 7
Cost price of 5 litre pure milk is, CP = Rs 5x

After mixing 1 litre of water in pure milk, total milk = 6 litre

Selling price of 6 litre milk is SP = 6 × 2x = Rs 12 x

Profit % = ((SP - CP) × 100)/CP = ((12x - 5x) × 100)/5x = 140

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 8
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Taps A and B can fill a tank in 12 min and 15 min respectively. If both are opened and A is closed after 3 min, how long will it take for B to fill the tank hereafter?
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 8

In a minute,

In 3 min, they fill 3 x 9/60 = 27/60 parts of the tank

Remaining part 1 - 27/60 = 33/60

So B will take

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 9
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If 20 litres of chemical X is added to 80 litres of a mixture that is 10% chemical X and 90% chemical Y, then what percentage of the resulting mixture is chemical X?
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 9
If we start with 80 litres of a mixture that is 10% X and 90% Y, we have 8 litres of X and 72 litres of Y. If we add 20 litres of X, we end up with 28 litres of X and 72 litres of Y, for a total of 100 litres of the mixture. Since 28 out of 100 litres of mixture is X, we have a mixture that is 28/100 or 28% of X.
GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 10
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The number of integers greater than 7000 that can be formed with digits 3, 5, 7, 8 and 9 such that no digits are being repeated is
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 10
A five digit integer is always greater than 7000

The number of such integers is

For a four digit number to be greater than 7000, it must begin with 7, 8 or 9

The number of such integers in

Hence, the required; number of such integers = 120 + 72 = 192

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 11
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The figure shows a −Y connected, 3-phase distribution transformer used to step down the voltage from 11,000 V to 415 V line-to-line. It has two switches S1 and S2. Under normal conditions, S1 is closed and S2 is open. Under certain special conditions, S1 is open and S2 is closed. In such a case, the magnitude of the voltage across the LV terminals a and c is (Answer up to the nearest integer)

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 11
Given that when the switch S1 is closed and S2 is open, then the 11,000 V is step down at 415 output.

Second time, when the switch S1 is open and S2 is closed, then 2-phase supply is connected to the transformer then the ratio of voltage is

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 12
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For the given circuit, the thevenin’s resistance looking from a-b terminals are respectively
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 12
Given circuit is shown in figure,

To find equivalent resistance across terminals a and b, applying dummy voltage source of magnitude Vdc and assuming current from it to be Idc as shown in figure, deactivating independent current source,

Applying KCL at node Vx ,

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 13
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A can solve 90% of the problems given in a book and B can solve 70%. What is the probability that at least one of them will solve a problem, selected at random from the book? (Answer up to two decimal places)

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 13
Let E = the event that A solves the problem, and

F = the event that B solves the problem.

Clearly E and F are independent events.

P(E) = 90/100 = 0.9,

P(F) = 70/100 = 0.7,

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 14
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A system is represented in state space as where and

The value of ∝ for which the system is NOT controllable is _____.

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 14
Given

The controllability matrix is defined as,

Where,n = number of state variable

The condition for the system to be uncontrollable is

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 15
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A CT signal is expressed as

What is the value of g(- 1)? (Absolute value) (Answer up to the nearest integer)What is the value of g(- 1)? (Absolute value) (Answer up to the nearest integer)

What is the value of g(- 1)? (Absolute value) (Answer up to the nearest integer)

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 15

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 16
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Consider the open loop transfer function

The value of the highest corner frequency of the Bode plot is _______ rad/sec.

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 16
Given

Highest corner frequency =ωn = 5 rad/sec

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 17
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The triggering circuit of a thyristor is shown in the figure below. The thyristor requires a gate current of 10 mA for guaranteed turn-on. The value of R (in Ω) required for the thyristor to turn on reliably under all conditions of Vb variation is (Answer up to the nearest integer)

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 17

Vb = 12土 4V

Vbmax = 16 V

Vbmin = 8 V

Required value of R = Vb(min)/Ig =

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 18
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A single-quadrant type A chopper is operated with ton= 1 m sec and toff = 1.5 m sec.

Its Ripple factor is ____________

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 18
Given

Time period

Ripple factor (RF) =

Hence, the ripple factor is 1.23.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 19
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The torque of a reluctance motor can be effectively increased by
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 19

The torque experienced by a reluctance motor is given as

Td = -1/2i2(Ld - Lq)sin2θ

The inductance is inversely proportional to reluctance. To increase torque, Ld > Lq or reluctance Rd < Rq.

Thus, the ratio of quadrature axis reluctance to direct axis reactance has to be increased.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 20
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If , then ROC of its z-transform in the z-plane will be
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 20
Given

Taking z transform we get,

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 21
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A synchronous machine has a synchronous reactance of 2љΩ per phase and the armatur

resistance is negligible. If the generated voltage and terminal voltage are Ea = and respectively, then which of the following is true?
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 21
Since Ea is lagging Vt, therefore the machines is operating as a motor.

The armature current per phase

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 22
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Consider a N-bit ADC that converts an analog input in the range of 0 – 8 V to an accuracy of 10 mV. Then from this ADC, output digital bit stream has
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 22
Given: Full scale value (FSV) = 8 V, Number of bits = N , Resolution = 10 mV.

For an N-bit ADC,

Resolution

Taking ‘log’ on both sides,

So, it requires 10-bit output.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 23
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A 3-phase line, 3 km long delivers 3,000 kW at a power factor of 0.8 (lagging) to a load. The line resistance per km is 0.4Ω. If the voltage at load end is 6.25 kV, then the efficiency of transmission is _____%. (Answer up to two decimal places)

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 23
Resistance of each conductor,

R = 3 x 0.4 = 1.2Ω

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 24
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If and then the value of
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 24
Given

By the property of vector product, we have

Therefore

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 25
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The forward-path open-loop transfer function of a ufb system is

For this system, root locus is
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 25
In option (2), locus starts from poles and ends on origin. In (3) and (4), poles and zeros are marked incorrect.
GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 26
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If , then last column of is
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 26
Given

Inverse of a matrix s is given by,

The last column of s-1(A13,A23,A33) corresponds to the co-factors of last row of matrix s divided by

Last row of s is 3, –7, 2. There co-factors are

respectively.

Hence, co-factors of last row of s i.e 3,-7,2 are respectively 22, 44 and 40 .

Therefore, last column of

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 27
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Which of the following are the characteristics of a thermocouple type of indicating instrument?

1. Its accuracy is very high, as high as about 1 percent.

2. It has linear scale because a D' Arsonval movement is used for measuring the output.

3. It is an RF instrument and can be used for frequency up to about 50 MHz.

4. It cannot be damaged by overloads.
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 27
• First statement is correct as the thermocouple instruments has high accuracy.

• The heating effect is proportional to square of current, second statement is not true.

• Thermocouple instruments are suitable for very high frequencies upto 50 MHz.

• The overload capacity of thermocouple instruments is very poor, statement four is also incorrect.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 28
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A single-phase transformer rated for 220/440 V, 50 Hz operates at no load at 220 V, 40 Hz. This frequency operation at rated voltage results in
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 28
Eddy current loss,

Where, t = Thickness, V = Voltage and f = Frequency.

Voltage value has not changed.

Hence, no change in eddy current loss.

Hysteresis loss,

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 29
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In the given circuit, transistors M1 and M2 are operating in
Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 29
For M1, VSD = VS − VD = 1.5 − 0 = 1.5 V

VSD(sat) = VSG + VTH = (1.5 − 0.5) − 0.4 = 1 − 0.4 = 0.6 V

Here, VSG > VTH & VSD > VSD(sat)

So, M1 is in saturation region.

Similarly for M2,

VSD = VS − VD = 0.9 − 0.9 = 0

VSD(sat) = VSG + VTH = (0.9 − 0) − 0.4 = 0.5 V

Here VSD, VSD(sat) and VSG > | VTH |, so M2 is in linear region.

GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 30
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A overexcited synchronous generator with internal voltage of 2 pu is connected to a bus bar of voltage 1 pu. if the machine is delivering a reactive power of 0.5 pu with a synchronous reactance of 1.2 pu, then the synchronizing power if active power increased by 20% is ____________ pu.

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 3 (15-01-23) - Question 30
Given

E = 2 pu, V = 1 pu, Q = 0.5 pu, Xs = 1.2 pu

From power flow equations,

Reactive power,

Active power,

If power is increased by 20%, then

Synchronizing power,

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