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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 12 of 23

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Q111.
Mala has a colouring book in which each English letter is drawn two times. She wants to paint each of these 52 prints with one of k colours, such that the colour-pairs used to colour any two letters are different. Both prints of a letter can also be coloured with the same colour. What is the minimum value of k that satisfies this requirement ?

a.

9

b.

8

c.

7

d.

6

Discuss
Answer: (c).7
Q112.
In an M'N matrix such that all non-zero entries are covered in a rows and b columns. Then the maximum number of non-zero entries, such that no two are on the same row or column, is

a.

≤ a + b

b.

≤ max {a, b}

c.

≤ min {M-a, N-b}

d.

≤ min {a, b}

Discuss
Answer: (d).≤ min {a, b}
Q113.
The minimum number of colours required to colour the following graph, such that no two adjacent vertices are assigned the same colour, is

a.

2

b.

3

c.

4

d.

5

Discuss
Answer: (c).4
Q114.
Two n bit binary strings, S1 and S2, are chosen randomly with uniform probability. The probability that the Hamming distance between these strings (the number of bit positions where the two strings differ) is equal to d is

a.

nCd /2^n

b.

nCd / d

c.

d/2^n

d.

1/2^d

Discuss
Answer: (a).nCd /2^n
Q115.
How many graphs on n labeled vertices exist which have at least (n^2 - 3n)/2 edges ?

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (d).D
Q116.
A point is randomly selected with uniform probability in the X-Y plane within the rectangle with corners at (0,0), (1,0), (1,2) and (0,2). If p is the length of the position vector of the point, the expected value of p^2 is

a.

2/3

b.

1

c.

4/3

d.

5/3

Discuss
Answer: (d).5/3
Q117.
Let G1 = (V, E1) and G2 = (V, E2) be connected graphs on the same vertex set V with more than two vertices. If G1 ∩ G2 = (V, E1 ∩ E2) is not a connected graph, then the graph G1 U G2 = (V, E1 U E2)

a.

cannot have a cut vertex

b.

must have a cycle

c.

must have a cut-edge (bridge)

d.

has chromatic number strictly greater than those of G1 and G2

Discuss
Answer: (b).must have a cycle
Q118.
For the composition table of a cyclic group shown below:

* a b c d

a a b c d

b b a d c

c c d b a

d d c a b

Which one of the following choices is correct?

a.

a, b are generators

b.

b, c are generators

c.

c, d are generators

d.

d, a are generators

Discuss
Answer: (c).c, d are generators
Q119.
If P, Q, R are subsets of the universal set U, then

a.

Q^c U R^c

b.

P U Q^c U R^c

c.

P^c U Q^c U R^c

d.

U

Discuss
Answer: (d).U
Q120.

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (c).C
Page 12 of 23

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