GATE EE year:2025 PYQs & Answers — Page 2

Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

Consider the set

of points

which minimize the real valued function

. Which of the following statements is true about the set

Your answerChoose one option.

The number of elements in the set

is finite and more than one.

The number of elements in the set

is infinite.

The set

is empty.

The number of elements in the set

is exactly one.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and

be the two eigenvectors corresponding to distinct eigenvalues of a

real symmetric matrix. Which one of the following statements is true?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

, and

. Then, the system of linear equations

has

Your answerChoose one option.

a unique solution.

infinitely many solutions.

a finite number of solutions.

no solution.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and let

be the identity matrix. Then

is equal to

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider discrete random variables

and

with probabilities as follows:

Given

, the expected value of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which one of the following statements is true about the small signal voltage gain of a MOSFET based single stage amplifier?

Your answerChoose one option.

Common source and common gate amplifiers are both inverting amplifiers

Common source and common gate amplifiers are both non-inverting amplifiers

Common source amplifier is inverting and common gate amplifier is non-inverting amplifier

Common source amplifier is non-inverting and common gate amplifier is inverting amplifier

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Assuming ideal op-amps, the circuit represents a

Diagram for Electrical Engineering question 17

Your answerChoose one option.

summing amplifier.

difference amplifier.

logarithmic amplifier.

buffer.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The I-V characteristics of the element between the nodes X and Y is best depicted by

Diagram for Electrical Engineering question 18

Your answerChoose one option.

Diagram for Electrical Engineering question 18 (figure 2)

Diagram for Electrical Engineering question 18 (figure 3)

Diagram for Electrical Engineering question 18 (figure 4)

Diagram for Electrical Engineering question 18 (figure 5)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, R, will behave as a

Your answerChoose one option.

resistor of value R.

nullator.

open circuit.

short circuit.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a discrete-time linear time-invariant (LTI) system

, where

where

is the discrete-time unit impulse function. For an input signal

, the output

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE EE year:2025 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20