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Q.

Let R=3, 3, 6, 6, 9, 9, 12, 12, 6, 12, 3, 9, 3, 12, 3, 6be a relation on the set A=3, 6, 9, 12. The relation is

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a

An equivalence relation

b

Reflexive and symmetric only

c

Reflexive and transitive only

d

Reflexive only

answer is C.

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Detailed Solution

Here 3, 3, 6, 6, 9, 9, 12, 12, [Reflexive];3, 6, 6, 12, 3, 12, [Transitive].Hence, reflexive and transitive only.
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Let R=3, 3, 6, 6, 9, 9, 12, 12, 6, 12, 3, 9, 3, 12, 3, 6be a relation on the set A=3, 6, 9, 12. The relation is