Q. 304.0( 2 Votes )

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

A. Reflexive and symmetric

B. Transitive and symmetric

C. Equivalence

D. Reflexive, transitive but Not symmetric

Answer :

This question is quite self explanatory:

Reflexive: eg. m=5 and n=5 → 5 is divisible by 5

Transitive: 2 divides 4, 4 divides 40 and 2 also divedes 40.

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Fill in the blanks in each of the

Let the relation R be defined on the set

A = {1, 2, 3, 4, 5} by R = {(a, b) : |a^{2} – b^{2}| < 8}. Then R is given by _______.

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Every relation which is symmetric and transitive is also reflexive.

Mathematics - ExemplarState True or False for the statements

Let R = {(3, 1), (1, 3), (3, 3)} be a relation defined on the set A = {1, 2, 3}. Then R is symmetric, transitive but not reflexive.

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An integer m is said to be related to another integer n if m is a integral multiple of n. This relation in Z is reflexive, symmetric and transitive.

Mathematics - Exemplar