GATE EE topic:electrical-engineering PYQs & Answers — Page 34

Questions 331–340 of 715. Imported answers require independent review unless marked reviewed.

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?

Your answerChoose one option.

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

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

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

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

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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

is:

Diagram for Electrical Engineering question 7

Your answerChoose one option.

12.50

6.25

3.125

1.5625

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Let

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

for

. The mean of

is ____

Your answerChoose one option.

2.5

5.0

25.0

50.0

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Diagram for Electrical Engineering question 9

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 ________.

Your answerChoose one option.

65 and 53

60 and 50

55 and 53

55 and 48

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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:

Your answerChoose one option.

There are two cars parked in between Q and V.

Q and R are not parked together.

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

Car P is parked at the extreme end.

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Let

and

be real numbers such that

. The eigenvalues of the matrix

are

Your answerChoose one option.

1 and 1

1 and -1

j and -j

pq and -pq

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Let

, where

is a complex number. Which one of the following is true?

Your answerChoose one option.

for all

The sum of the roots of

is a real number

The complex roots of the equation

come in conjugate pairs

All the roots cannot be real

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Let

be a real-valued function such that

for some

, and

for all

. Then

has

Your answerChoose one option.

no local minimum in

one local maximum in

exactly one local minimum in

two distinct local minima in

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For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals ‘ab’ is

Diagram for Electrical Engineering question 4

Your answerChoose one option.

10 V in series with 12 Ω

65 V in series with 15 Ω

50 V in series with 2 Ω

35 V in series with 2 Ω

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Which one of the following vector functions represents a magnetic field

? (

, and

are unit vectors along x-axis, y-axis, and z-axis, respectively)

Your answerChoose one option.

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GATE EE topic:electrical-engineering PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Question 5