GATE ME exam:gate PYQs & Answers — Page 29

Questions 281–290 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 29 of 104

The limit

has a finite value for a real

. The value of

and the corresponding limit

are

Your answerChoose one option.

, and

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

is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values for 1 second before change. What is the constant term in the Fourier series expansion of

Diagram for Mechanical Engineering question 11

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

Solution of

in a square domain

with boundary conditions:

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 a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point

. The surface integral

of a vector field

over the entire surface

of the cube is _____.

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

Given a function

in three-dimensional Cartesian space, the value of the surface integral

where

is the surface of a sphere of unit radius and

is the outward unit normal vector on

, is

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 the definite integral

Let

be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals, the value is

. The percentage error is defined as

. The value of

Your answerChoose one option.

2.5

3.5

1.2

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

The Fourier series expansion of

in the interval

with periodic continuation has

Your answerChoose one option.

only sine terms

only cosine terms

both sine and cosine terms

only sine terms and a non-zero constant

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

Given

. If

and

are positive integers, the value of

is ________.

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

is a symmetric matrix, the value of

is ____________.

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

A polynomial

of degree

with constant real coefficients

has triple roots at

. Which one of the following conditions must be satisfied?

Your answerChoose one option.

at all the three values of

satisfying

, and

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

GATE ME exam:gate PYQs

Question 11

Question 11

Question 12

Question 12

Question 13

Question 13

Question 14

Question 14

Question 15

Question 15