Electrical Engineering GATE 2021 Questions with Answer

Ques 40 Engineering Mathematics

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Let (-1 - j), (3 - j), (3 + j) and (-1 + j) be the vertices of a rectangle C in the complex plane. Assuming that C is traversed in counter-clockwise direction, the value of the contour integral ∫_C dz / (z²(z - 4)) is

A

jπ/2

B

0

C

-jπ/8

D

jπ/16

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Ques 41 General Aptitude

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The people __________ were at the demonstration were from all sections of society.

A

whose

B

which

C

who

D

whom

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Ques 42 General Aptitude

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A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like

A

B

C

D

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Ques 43 General Aptitude

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For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is:

A

396

B

324

C

216

D

144

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Ques 44 General Aptitude

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Which one of the following numbers is exactly divisible by (11¹³+1) ?

A

11²⁶+1

B

11³³+1

C

11³⁹-1

D

11⁵²-1

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Ques 45 General Aptitude

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Oasis is to sand as island is to _______.
Which one of the following options maintains a similar logical relation in the above sentence?

A

Stone

B

Land

C

Water

D

Mountain

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Ques 46 General Aptitude

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The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learnt. Hence, cutting down on sleep to study longer hours can be counterproductive.

Which one of the following statements is the CORRECT inference from the above passage?

A

Sleeping well alone is enough to prepare for an exam. Studying has lesser benefit.

B

Students are efficient and are not wrong in thinking that sleep is a waste of time.

C

If a student is extremely well prepared for an exam, he needs little or no sleep.

D

To do well in an exam, adequate sleep must be part of the preparation.

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Ques 47 General Aptitude

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In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in $cm^{2}$ is:

A

12.50

B

6.25

C

3.125

D

1.5625

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Ques 48 General Aptitude

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Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be f(x)=0.01 for 0<= X<=100.
The mean of X is

A

2.5

B

5.0

C

25.0

D

50.0

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Ques 49 General Aptitude

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The number of students passing or failing in an exam for a particular subject are presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following year. Students always pass the exam in their second attempt.
The number of students who took the exam for the first time in the year 2 and the year 3 respectively, are

A

65 and 53

B

60 and 50

C

55 and 53

D

55 and 48

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Ques 50 General Aptitude

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Seven cars P, Q, R, S, T, U and V are parked in a row not necessarily in that order. The cars T and U should be parked next to each other. The cars S and V also should be parked next to each other, whereas P and Q cannot be parked next to each other. Q and S must be parked next to each other. R is parked to the immediate right of V. T is parked to the left of U.

Based on the above statements, the only INCORRECT option given below is:

A

There are two cars parked in between Q and V.

B

Q and R are not parked together.

C

V is the only car parked in between S and R.

D

Car P is parked at the extreme end.

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Ques 51 Power Electronics

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Consider the buck-boost converter shown. Switch Q is operating at 25 kHz and 0.75 duty-cycle. Assume diode and switch to be ideal. Under steady-state condition, the average current flowing through the inductor is _______ A.

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Ques 52 Power Electronics

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A single-phase full-bridge inverter fed by a 325 V DC produces a symmetric quasi-square waveform across 'ab' as shown. To achieve a modulation index of 0.8, the angle α expressed in degrees should be _______ . (Round off to 2 decimal places.) (Modulation index is defined as the ratio of the peak of the fundamental component of vab to the applied DC value.)

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