Welcome to the Sets and Functions MCQs Page

Dive deep into the fascinating world of Sets and Functions with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sets and Functions, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sets and Functions, 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 Discrete Mathematics.

Check out the MCQs below to embark on an enriching journey through Sets and Functions. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

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

Sets and Functions MCQs | Page 12 of 15

Explore more Topics under Discrete Mathematics

01

Logics and Proofs

02

Sequences,Sums and Matrices

03

Algorithms

04

Number Theory and Cryptography

05

Induction and Recursion

06

Counting Theory

07

Discrete Probability

08

Relations

09

Graphs and Graphs Properties

10

Tree Properties

11

Boolean Algebra and Modeling Computations

12

Group Theory

Q111.

If f(x) = x² + 4 then range of f(x) is given by?

[4, ∞)

(-∞, ∞) – {0}

(0, ∞)

None of the mentioned

Discuss

Answer: (a).[4, ∞)

Q112.

Let f(x)=sin²(x) + log(x) then domain of f(x) is (-∞, ∞).

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q113.

An injection is a function which is?

many-one

one-one

onto

none of the mentioned

Discuss

Answer: (b).one-one

Q114.

A mapping f : X → Y is one one if __________

f(x1) ≠ f(x2) for all x1, x2 in X

If f(x1) = f(x2) then x1 = x2 for all x1, x2 in X

f(x1) = f(x2) for all x1, x2 in X

None of the mentioned

Discuss

Answer: (b).If f(x1) = f(x2) then x1 = x2 for all x1, x2 in X

Q115.

A function is defined by mapping f : A → B such that A contains m elements and B contains n elements and m ≤ n then number of one one functions are _________

ⁿCₘ x m!

ⁿCₘ x n!

none of the mentioned

Discuss

Answer: (a).ⁿCₘ x m!

Q116.

A function is defined by mapping f : A -> B such that A contains m elements and B contains n elements and m>n then number of one one functions are ________

ⁿCₘ x m!

ⁿCₘ x n!

none of the mentioned

Discuss

Answer: (c).0

Q117.

For an onto function range is equivalent to codomain.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q118.

Onto function are known as injection.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q119.

Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are?

Discuss

Answer: (b).24

Q120.

A function is defined by mapping f:A→B such that A contains m elements and B contains n elements and m > n then number of bijections are ________

ⁿCₘ x m!

ⁿCₘ x n!

none of the mentioned

Discuss

Answer: (c).0

Page 12 of 15

Welcome to the Sets and Functions MCQs Page

Sets and Functions MCQs | Page 12 of 15

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sequences,Sums and Matrices

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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