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If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a

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If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a [#permalink]

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New post 28 Oct 2017, 03:39
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44% (01:05) correct 56% (01:54) wrong based on 16 sessions

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If M and N are positive integers, is (MN)/15 an integer

1.THE L.C.M of M and N is 80
2.The greatest common factor of M and N is 4
[Reveal] Spoiler: OA

Kudos [?]: 118 [0], given: 226

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If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a [#permalink]

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New post 28 Oct 2017, 03:57
haardiksharma wrote:
If M and N are positive integers, is (MN)/15 an integer

1.THE L.C.M of M and N is 80
2.The greatest common factor of M and N is 4


For \(MN\) to be divisible by \(15\) between them they must have at least one \(3\) & \(5\) as a factor

Statement 1: implies that neither \(M\) nor \(N\) has \(3\) as a factor. Hence \(MN\) will not be an integer. Sufficient

Statement 2: this does not provide any information about all the factors of \(M\) & \(N\). Let \(M=12\) and \(N=40\), then HCF will be \(4\) and \(MN\) will be divisible by \(15\)

but if \(M=4\) and \(N=8\), then HCF will be \(4\) but \(MN\) will not be divisible by \(15\). Hence Insufficient

Option A

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If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a   [#permalink] 28 Oct 2017, 03:57
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If M and N are positive integers,is MN/15an integer 1.THE L.C.M of M a

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