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GATE Mock Test: Electrical Engineering (EE)- 9 - Electrical Engineering (EE) MCQ


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30 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - GATE Mock Test: Electrical Engineering (EE)- 9

GATE Mock Test: Electrical Engineering (EE)- 9 for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The GATE Mock Test: Electrical Engineering (EE)- 9 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The GATE Mock Test: Electrical Engineering (EE)- 9 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)- 9 below.
Solutions of GATE Mock Test: Electrical Engineering (EE)- 9 questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & GATE Mock Test: Electrical Engineering (EE)- 9 solutions in Hindi for GATE Electrical Engineering (EE) Mock Test Series 2025 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)- 9 | 65 questions in 180 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) Exam | Download free PDF with solutions
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 1

Which number will come in place of the question mark (?) in the following series of figures?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 1
To find the middle term, we need to multiply all the numbers in the outer squares and then add 1 to the result.

For the first figure:

(2 × 3 × 5 × 1) + 1 = 31

For the second figure:

(4 × 2 × 3 × 6) + 1 = 145

For the third figure:

(1 × 2 × 7 × 5) + 1 = 71

So, 71 will replace the question mark.

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 2

The value of x, y and z for the system of equations shown below is,

and for x, y and z.

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 2
From 1st and 3rd equation z = 4/7

Using this, solve the 2nd and 3rd equation to get x = -4/7

Subsequently, y = 4/15

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GATE Mock Test: Electrical Engineering (EE)- 9 - Question 3

A reduction of 25% in the price of rice enables a customer to obtain 3 kg more for Rs. 189. The original price of rice per kg is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 3
Price x Quantity = 189

Price decreases by 25%

= New price = ¾ x Initial price

Since, total amount is constant i.e. is Rs. 189 New quantity is 3 more than original quantity

Hence, original was 9

Thus, original price is 189/9 = Rs 21/kg

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 4

The probability that a man will live 10 more years is 1/4 and the probability that his wife will live 10 more years is 1/3. The probability that neither of them will be alive in 10 years is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 4
Probability that a man will live 10 more years = 1/4

Probability that man will not live 10 more years = 1 - 1/4 = 3/4

Probability that his wife will live 10 more years = 1/3

Probability that his wife will not live 10 more years = 1 - 1/3 = 2/3

Then, probability that neither will be alive in 10 years = (3/4) x (2/3) = 1/2

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 5

Voting is the privilege for which wars have been fought, protests have been organized, and editorials have been written. "No taxation without representation," was a battle cry of the American Revolution. Women struggled for suffrage, as did many minorities. Eighteen year olds clamored for the right to vote, saying that if they were old enough to fight in the war, then they should be allowed to vote. Yet Americans have a deplorable voting history, and many will tell you that they have never voted.

Which of the following words is the best synonym for the word 'privilege' as used in the passage?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 5
The context mentions that wars have been fought for 'voting' and 'privilege' means 'a special right'.
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 6

The following figure represents a particular set of revolvers used by some person and the number in these figures represents a particular type of revolver possessed by the number of person. The circle represents “Enfield”, the triangle represents “Walther”, the hexagon represents “Smith & Wesson”, the rectangle represents “Luger” and the square represents “Jericho”.

The total number of person having Luger is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 6
From the given information, we can conclude that the number of person having a particular type of revolver as

Enfield = 15 + 13 + 8 + 88 + 44 + 18 + 72 = 258

Only Enfield = 18 + 88 + 72 = 178

Walther = 37 + 13 + 41 + 29 + 8 = 128

Only Walther = 29

Smith and Wesson = 26 + 11 + 15 + 20 + 13 + 41 = 126 Only Smith and Wesson = 26 + 15 = 41

Luger = 11 + 20 + 13 + 37 + 15 + 13 + 76 + 18 = 203

Only Luger = 18

Fericho = 76 + 13 + 44 + 57 = 190

Only Fericho = 57

Number of persons having Luger = 203

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 7

Two trains start at the same time from two stations A and B towards each other.

They arrive at B and A respectively 5 hours and 20 hours after they passed each other.

If the speed of the train that started from A is 56 kmph, then what is the speed of the second train (in kmph)?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 7
Let the speeds of two trains starting from station A and B be S1 and S2 respectively and the time taken by them after meeting be t1 and t2 respectively.

Then, we can use this equation to get the answer

S2 = 28 kmph

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 8

A husband and wife appeared in an interview for two vacancies in the same organisation. The probability of husband’s selection is 1/7 and that of wife’s is 1/5. The probability that at least one of them will be selected is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 8

A : Husband selected, B : Wife selected

P(A) = 1/7, P(A’) = 1 - 1/7 = 6/7

P(B) = 1/5, P(B’) = 1 - 1/5 = 4/5

At least one of them selected = 1 - 24/35 = 11/35

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 9

A man starts at a certain point, walks one km east, then two km north, one km east, one km north, one km east and finally one km north to arrive at the destination. What is the shortest distance (in km) from the starting point to the destination?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 9

Let us assume that man starts from point O and reaches his destination at point A. The shortest distance between O and his destination is

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 10

Read the argument given below and then answer the questions which follow the argument.

The poor vote, the rich don’t. That’s the way it has traditionally been. Elections have, by and large, shown well-heeled neighbourhoods logging low voter turnouts compared to those less privileged-either because they’re cynical/disillusioned; or, have ‘better’ things to do with their time; or, don’t want to expose their delicate complexion to the burning sun; or, they’re doing okay with their lives, thank you very much.

Which of the following statements weakens the above argument?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 10
If the ink on the index finger has replaced the tattoo, that noway affects the given argument, hence, option (A) is a very weak statement and can be easily negated. Option (B) is out of scope as what a middle class voter does is not mentioned or discussed in the passage: The passage focuses on rich people having a nonchalant attitude, however the poor are sincere towards voting and elections.

Voters have been influenced by awareness campaigns over the past few weeks, this statement doesn't affect the argument at all. If we become aware or influenced by campaigns that doesn't support or weaken our nonchalant attitude towards elections.

Hence option (C) is negated.

Options (D) contradicts passage as the increase has been experienced in all areas (well-heeled as well as less privileged neighborhoods), which is just opposite to lower voter participation from the rich mentioned in the passage.

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 11

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 11

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 12

The power dissipated in 2kΩ resistance is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 12

The KCL equation for the supernode is,

*Answer can only contain numeric values
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 13

The value of around a rectangle with vertices at is (Answer up to the nearest integer)


Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 13

*Multiple options can be correct
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 14

Two identical networks are connected in cascaded as shown in figure. The transmission matrix for one network is . For the cascade two port network. Which of the following statements is/are correct?

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 14

Here transmission matrix

NET1 and NET2 are identical and connected in cascade.

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 15

A logical function of four variable is given as

f (A, B, C, D) = (Ā + BC) (B + CD)

The function as a sum of product is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 15

*Answer can only contain numeric values
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 16

Consider the unity feedback control system whose open loop transfer function is

The value of ɑ, so that phase margin is 450 is ______. (Correct upto one decimal place)


Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 16

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 17

An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 17

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 18

Sphere of radius a with a uniform charge density ρvC/m3 shall have electric flux density at r = a, equal to

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 18

Given: Charge density = ρv C/m3

By Gauss’s law,

Since D is radially outward and constant throughout the spherical surface.

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 19

A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 19

Rotor speed should be greater than syn. speed, to get inductance generator mode

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 20

Which of the following plot represents correct ROC of a signal 

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 20

Laplace transform of x(t) is

(Right-sided) (Left-sided)

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 21

An oriented-graph has `n` nodes and `b` branches. The dimension of incident matrix is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 21

The dimensions of the matrix A is n x b where n is the number of nodes and b is number of branches. For a graph having n nodes and b branches, the complete incidence matrix A is a rectangular matrix of order n x b.

*Answer can only contain numeric values
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 22

For the chopper circuit shown in the figure, duty ratio is 0.3. The chopping frequency to limit the amplitude of load current ripple to 8 A is ____________ Hz.


Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 22

Given

Output wave forms are shown below,

During Ton  volt area applied to inductance  

Volt-time area across L during current change is given by

During the volt time areas given by equation (i) and (ii) must be equal

∴ chopping frequency,

*Answer can only contain numeric values
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 23

What is the increase in the torque expressed as percentage of initial torque, if the current drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)? (Answer up to the nearest integer)


Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 23

For a dc series motor T ∝ Ia2

or T2 = 1.44 T1

the percentage increment in torque is

ΔT = 44%

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 24

F = A⊕B⊙C⊕D in SOP form is

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 24

Given:

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 25

An induction motor when started on load does not accelerate up to full speed but runs at 1/7th of the rated speed. The motor is said to be

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 25
A cage motor shows peculiar behavior at starting because the motor has a certain relationship between the number of poles and the stator and rotor slots. For some ratio of rotor-to-stator slots, the machine may run stably at a low speed (1/7 of the rated speed). This phenomena is called crawling.
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 26

Consider a function , then the value of where c is circle defined by

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 26
Given

Poles are f(z) given by;

Both poles lie outside the circle lzl = 1

Hence, by Cauchy’s theorem

GATE Mock Test: Electrical Engineering (EE)- 9 - Question 27

Consider a discrete-time system S whose response to a complex exponential input is specified as

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 27
The input must produce the output in the form A . The output in this case is . This violates the Eigen function property of LTI system. Therefore, S is definitely not LTI system.
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 28

Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 28

*Answer can only contain numeric values
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 29

In the circuit shown in figure, the voltage v1 (in V) is equal to _______(Answer up to the nearest integer)


Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 29

If we go from positive side of 1 kilo-ohm through 7 V, 6 V and 5 V, we get
v1 = 7 + 6 - 5 = 8 V

*Answer can only contain numeric values
GATE Mock Test: Electrical Engineering (EE)- 9 - Question 30

Consider a three-phase half-wave converter with 440 V, supplying power to a resistive load. The output voltage VDC for α = 450 for is ____________V.


Detailed Solution for GATE Mock Test: Electrical Engineering (EE)- 9 - Question 30

Given: Three-phase half-wave converter,

Vm = 440√2V, α = 45o

For resistive load α > 30o and output waveform is discontinuous so average output voltage is given by,

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