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 14 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

Q131.

Let n be some integer greater than 1,then floor((n-1)/n) is 1.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q132.

For an inverse to exist it is necessary that a function should be __________

injection

bijection

surjection

none of the mentioned

Discuss

Answer: (b).bijection

Q133.

If f(x) = y then f⁻¹(y) is equal to __________

x²

none of the mentioned

Discuss

Answer: (b).x

Q134.

A function f(x) is defined from A to B then f⁻¹ is defined __________

from A to B

from B to A

depends on the inverse of function

none of the mentioned

Discuss

Answer: (b).from B to A

Q135.

If f is a function defined from R to R, is given by f(x) = 3x – 5 then f⁻¹(x) is given by __________

1/(3x-5)

(x+5)/3

does not exist since it is not a bijection

none of the mentioned

Discuss

Answer: (b).(x+5)/3

Q136.

For some bijective function inverse of that function is not bijective.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q137.

f(x) is a bijection than f⁻¹(x) is a mirror image of f(x) around y = x.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q138.

If f is a function defined from R to R, is given by f(x) = x² then f⁻¹(x) is given by?

1/(3x-5)

(x+5)/3

does not exist since it is not a bijection

none of the mentioned

Discuss

Answer: (c).does not exist since it is not a bijection

Q139.

For any function fof⁻¹(x) is equal to?

x²

none of the mentioned

Discuss

Answer: (a).x

Q140.

The solution to f(x) = f⁻¹(x) are __________

no solutions in any case

same as solution to f(x) = x

infinite number of solution for every case

none of the mentioned

Discuss

Answer: (b).same as solution to f(x) = x

Page 14 of 15

Welcome to the Sets and Functions MCQs Page

Sets and Functions MCQs | Page 14 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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