If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L?(a) 10(b) 42(c) 5(d) 35This question was posed to me by my college director while I was bunking the class.This interesting question is from Groups in chapter Groups of Discrete Mathematics

If group G has 65 elements and it has two subgroups namely K and L wit

1.	If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L?(a) 10(b) 42(c) 5(d) 35This question was posed to me by my college director while I was bunking the class.This interesting question is from Groups in chapter Groups of Discrete Mathematics
Answer» RIGHT choice is (c) 5 To explain I WOULD say: As it is an intersection so the order must DIVIDE both K and L. Here 3, 6, 30 does not divide 14. But 5 must be the order of the GROUP as it divides the order of intersection of K and L as WELL as the order of the group.

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