Is * defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a – InterviewSolution

1.

Is * defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a binary operation?

Answer»

L.C.M. of 3, 5 = 15

3 * 5 = L.C.M. of (3, 5)

= 15 g {1,2, 3,4,5}

hence * is not a binary operation.

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