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 9 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

Q81.

Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).

100

101

102

Discuss

Answer: (c).101

Q82.

A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.

One-to-many

One-to-one

Many-to-many

Many-to-one

Discuss

Answer: (b).One-to-one

Q83.

The function f(x)=x+1 from the set of integers to itself is onto. Is it True or False?

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q84.

The value of ⌊1/2.⌊5/2⌋ ⌋ is ______________

0.5

Discuss

Answer: (a).1

Q85.

Which of the following function f: Z X Z → Z is not onto?

f(a, b) = a + b

f(a, b) = a

f(a, b) = |b|

f(a, b) = a – b

Discuss

Answer: (c).f(a, b) = |b|

Q86.

The domain of the function that assign to each pair of integers the maximum of these two integers is ___________

Z⁺

Z⁺ X Z⁺

Discuss

Answer: (d).Z⁺ X Z⁺

Q87.

Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________

6x + 9

6x + 7

6x + 6

6x + 8

Discuss

Answer: (a).6x + 9

Q88.

__________ bytes are required to encode 2000 bits of data.

Discuss

Answer: (b).2

Q89.

The inverse of function f(x) = x³ + 2 is ____________

f⁻¹ (y) = (y – 2)½

f⁻¹ (y) = (y – 2)⅓

f⁻¹ (y) = (y)⅓

f⁻¹ (y) = (y – 2)

Discuss

Answer: (b).f⁻¹ (y) = (y – 2)⅓

Q90.

The function f(x) = x³ is bijection from R to R. Is it True or False?

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Page 9 of 15

Welcome to the Sets and Functions MCQs Page

Sets and Functions MCQs | Page 9 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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