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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 19 of 23

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Q181.
Consider the below :

a.

0

b.

-1

c.

1

d.

infinite

Discuss
Answer: (b).-1
Q182.
Consider a function f(x) = 1 – |x| on –1 ≤ x ≤ 1. The value of x at which the function attains a maximum and the maximum value of the function are:

a.

0, –1

b.

–1, 0

c.

0, 1

d.

–1, 2

Discuss
Answer: (c).0, 1
Q183.
Let f(x) = x^ –(1/3) and A denote the area of the region bounded by f(x) and the X-axis, when x varies from –1 to 1. Which of the following statements is/are True?

1. f is continuous in [–1, 1]
2. f is not bounded in [–1, 1]
3. A is nonzero and finite

a.

2 only

b.

3 only

c.

2 and 3 only

d.

1, 2 and 3

Discuss
Answer: (c).2 and 3 only
Q184.
Consider the following:

a.

0

b.

1/2

c.

1

d.

∞

Discuss
Answer: (a).0
Q185.
Consider the following :

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (a).A
Q186.
The velocity v (in kilometer/minute) of a motorbike which starts from rest, is given at fixed intervals of time t(in minutes) as follows:

t 2 4 6 8 10 12 14 16 18 20
v 10 18 25 29 32 20 11 5 2 0

The approximate distance (in kilometers) rounded to two places of decimals covered in 20 minutes using Simpson’s 1/3rd rule is _________.

a.

309.33

b.

105.33

c.

110.00

d.

405.6

Discuss
Answer: (a).309.33
Q187.
Let X and Y be two exponentially distributed and independent random variables with mean α and β, respectively. If Z = min(X,Y), then the mean of Z is given by

a.

1/α+β

b.

min(α ,β)

c.

α β/α + β

d.

α + β

Discuss
Answer: (c).α β/α + β
Q188.
If f(1) = 2,f(2) = 4 and f(4) = 16, what is the value of f(3)using Lagrange’s interpolation formula?

a.

8

b.

8 1/3

c.

8 2/3

d.

9

Discuss
Answer: (c).8 2/3
Q189.
Consider the following iterative root finding methods and convergence properties:

Iterative root finding Convergence properties methods
(Q) False Position                        (I) Order of convergence = 1.62
(R) Newton Raphson                 (II) Order of convergence = 2
(S) Secant                                         (III) Order of convergence = 1 with guarantee of convergence
(T) Successive Approximation (IV) Order of convergence = 1 with no guarantee of convergence

a.

Q-II R-IV S-lIl T-I

b.

Q-III R-II S-I T-IV

c.

Q-II R-I S-IV T-III

d.

Q-I R-IV S-Il T-III

Discuss
Answer: (b).Q-III R-II S-I T-IV
Q190.
Let f(n), g(n) and h(n) be functions defined for positive inter such that f(n) = O(g(n)), g(n) ≠ O(f(n)), g(n) = O(h(n)), and h(n) = O(g(n)). Which one of the following statements is FALSE?  

a.

f(n) + g(n) = O(h(n)) + h(n))

b.

f(n) = O(h(n))

c.

fh(n) ≠ O(f(n))

d.

f(n)h(n) ≠ O(g(n)h(n))

Discuss
Answer: (d).f(n)h(n) ≠ O(g(n)h(n))
Page 19 of 23

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