Consider the non-empty set consisting of children in a family and a...

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Consider the non-empty set consisting of children in a family and a relation \( \mathrm{R} \) defined as \( a \mathrm{R} b \) if \( a \) is brother of \( b \). Then \( \mathrm{R} \) is
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(A) symmetric but not transitive
(B) transitive but not symmetric
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(C) neither symmetric nor transitive
(D) both symmetric and transitive
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