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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 1 of 23

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Q1.
A binary operation on a set of integers is defined as x y = x^2 + y^2. Which one of the following statements is TRUE about ?

a.

Commutative but not associative

b.

Both commutative and associative

c.

Associative but not commutative

d.

Neither commutative nor associative

Discuss
Answer: (a).Commutative but not associative
Q2.
Consider the set S = {1, ω, ω^2}, where ω and w^2 are cube roots of unity. If * denotes the multiplication operation, the structure (S, *) forms

a.

A group

b.

A ring

c.

An integral domain

d.

A field

Discuss
Answer: (a).A group
Q3.
Which one of the following in NOT necessarily a property of a Group?

a.

Commutativity

b.

Associativity

c.

Existence of inverse for every element

d.

Existence of identity

Discuss
Answer: (a).Commutativity
Q4.
Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE?

a.

R is symmetric but NOT antisymmetric

b.

R is NOT symmetric but antisymmetric

c.

R is both symmetric and antisymmetric

d.

R is neither symmetric nor antisymmetric

Discuss
Answer: (d).R is neither symmetric nor antisymmetric
Q5.
Let S be a set of n elements. The number of ordered pairs in the largest and the smallest equivalence relations on S are:

a.

n and n

b.

n^2 and n

c.

n^2 and 0

d.

n and 1

Discuss
Answer: (b).n^2 and n
Q6.
How many different non-isomorphic Abelian groups of order 4 are there

a.

2

b.

3

c.

4

d.

5

Discuss
Answer: (a).2
Q7.
Let X, Y, Z be sets of sizes x, y and z respectively. Let W = X x Y. Let E be the set of all subsets of W. The number of functions from Z to E is:

a.

z^2^xy

b.

z x 2^xy

c.

z^2^(x + y)

d.

2^xyz

Discuss
Answer: (d).2^xyz
Q8.
The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group. Given below are four plausible reasons. Which one of them is false?

a.

It is not closed

b.

2 does not have an inverse

c.

3 does not have an inverse

d.

8 does not have an inverse

Discuss
Answer: (c).3 does not have an inverse
Q9.
A relation R is defined on ordered pairs of integers as follows: (x,y) R(u,v) if x < u and y > v. Then R is: Then R is:

a.

Neither a Partial Order nor an Equivalence Relation

b.

A Partial Order but not a Total Order

c.

A Total Order

d.

An Equivalence Relation

Discuss
Answer: (a).Neither a Partial Order nor an Equivalence Relation
Q10.
Let S denote the set of all functions f: {0,1}^4 -> {0,1}. Denote by N the number of functions from S to the set {0,1}. The value of Log2Log2N is ______.

a.

12

b.

13

c.

15

d.

16

Discuss
Answer: (d).16
Page 1 of 23

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