Types of relation

Types of relation

Assessment

Quiz

Mathematics

12th Grade

Hard

Created by

Swami Anand

Used 56+ times

FREE Resource

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15 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Consider the set A = {1, 2, 3} and the relation

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

Reflexive

Symmetric

Transitive

none of these

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let A = {1, 2, 3} and consider the relation

R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.Then R is

reflexive but not symmetric

reflexive but not transitive

symmetric and transitive

neither symmetric, nor

transitive

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is

Reflexive and symmetric

Transitive and symmetric

Equivalence

Reflexive, transitive but not

symmetric

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 For real numbers x and y, define xRy if and only if x – y is divisible by 3. Then the relation R is

only reflexive

Reflexive and symmetric

Reflexive but not transitive

Reflexive, symmetric and transitive

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For the set A = {1, 2, 3}, define a relation R in the set A as follows:

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

Write the ordered pairs to be added to R to make it the smallest equivalence relation.

(3,1),(1,2)

(3,1)

(3,2),(1,2)

(3,2)

6.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Let A = {0, 1, 2, 3} and define a relation R on A as follows:

R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}.

Is R reflexive? symmetric? transitive?

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Relation R in the set A = {1, 2, 3, ..., 13, 14} defined as

R = {(x, y) : 3x – y = 0}. Relation R is

Reflexive

Symmetric

Transitive

none of these

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