Quiz on Relations and Functions

Quiz on Relations and Functions

12th Grade

14 Qs

quiz-placeholder

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Quiz on Relations and Functions

Quiz on Relations and Functions

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

PRAVEEN KUMAR

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is defined as an arbitrary subset of A × B in mathematics?

Mapping

Function

Relation

Set

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an empty relation?

R = {(a, b) : a is sister of b}

R = {(a, b) : a - b = 10}

R = {(a, b) : a + b = 0}

R = {(a, b) : a is brother of b}

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of relation is defined if (a, a) ∈ R for every a ∈ A?

Reflexive

Universal

Transitive

Symmetric

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following relations is symmetric?

R = {(1, 2), (2, 3)}

R = {(1, 2), (2, 1)}

R = {(1, 1), (2, 2)}

R = {(1, 2), (3, 4)}

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definition of a universal relation?

R = {(a, b) : a = b}

R = {(a, b) : a is not related to b}

R = A × A

R = φ ⊂ A × A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an equivalence relation?

R = {(x, y) : x is congruent to y mod 2}

R = {(x, y) : x is greater than y}

R = {(x, y) : x + y = 0}

R = {(x, y) : x < y}

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of a function?

The set of all ordered pairs

The set of all possible outputs

The set of all possible inputs

The set of all relations

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