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Welcome to the Engineering Mathematics MCQs Page

Dive deep into the fascinating world of Engineering Mathematics with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Engineering Mathematics, a crucial aspect of GATE CSE Exam. In this section, you will encounter a diverse range of MCQs that cover various aspects of Engineering Mathematics, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within GATE CSE Exam.

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Check out the MCQs below to embark on an enriching journey through Engineering Mathematics. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of GATE CSE Exam.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Engineering Mathematics. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Engineering Mathematics MCQs | Page 17 of 23

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Q161.
The following expression is equivalent to

a.

1

b.

-1

c.

INF

d.

-INF

Discuss
Answer: (a).1
Q162.
The following system of equations has a unique solution. The only possible value(s) for α is/are

a.

0

b.

either 0 or 1

c.

any real number

d.

any real number other than 5

Discuss
Answer: (d).any real number other than 5
Q163.
The minimum number of equal length subintervals needed to approximate the following expression to an accuracy of 1/3 * 10^-6 at least  using the trapezoidal rule is

a.

1000e

b.

1000

c.

100e

d.

100

Discuss
Answer: (a).1000e
Q164.
The following Newton-Raphson iteration  can be used to compute the

a.

square of R

b.

reciprocal of R

c.

square root of R

d.

logarithm of R

Discuss
Answer: (c).square root of R
Q165.
Consider the following:

a.

P = Q - k

b.

P = Q + k

c.

P = Q

d.

P = Q +2 k

Discuss
Answer: (a).P = Q - k
Q166.
A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve 3x^4 - 16x^3 + 24x^2 + 37

a.

0

b.

1

c.

2

d.

3

Discuss
Answer: (b).1
Q167.
Consider the following two statements about the function f(x)=|x|

P. f(x) is continuous for all real values of x
Q. f(x) is differentiable for all real values of x

Which of the following is TRUE?

a.

P is true and Q is false

b.

P is false and Q is true

c.

Both P and Q are true

d.

Both P and Q are false

Discuss
Answer: (a).P is true and Q is false
Q168.
Consider the series Xn+1 = Xn/2 + 9/(8 Xn), X0 = 0.5 obtained from the Newton-Raphson method. The series converges to

a.

1.5

b.

sqrt(2)

c.

1.6

d.

1.4

Discuss
Answer: (a).1.5
Q169.
Consider the polynomial p(x) = a0 + a1x + a2x^2 + a3x^3 , where ai ≠ 0 ∀i. The minimum number of multiplications needed to evaluate p on an input x is:

a.

3

b.

4

c.

6

d.

9

Discuss
Answer: (a).3
Q170.
Consider the following system of equations:

3x + 2y = 1
4x + 7z = 1
x + y + z = 3
x – 2y + 7z = 0

The number of solutions for this system is __________________

a.

1

b.

0

c.

2

d.

3

Discuss
Answer: (a).1
Page 17 of 23

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