NDA 2017 Mathematics question

Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct?

(A)The relation is an equivalent relation
(B)The relation is not reflexive but it is symmetric and transitiveCorrect
(C)The relation is not symmetric but it is reflexive and transitive
(D)The relation is not transitive but it is reflexive and symmetric

Answer: (B)

Solution

S contains every person living in Delhi, including those not born in Delhi. For such a person , the pair does not satisfy "born in Delhi on the same day", so the relation is not reflexive. If were

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Question ID VK-028572