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If m, n, and p are positive integers, mnp= ?

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If m, n, and p are positive integers, mnp= ?  [#permalink]

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If m, n, and p are positive integers, mnp= ?

1) \(m^4*np=2,835\)

2) p=7

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Re: If m, n, and p are positive integers, mnp= ?  [#permalink]

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New post 23 Mar 2017, 03:15
ziyuen wrote:
If m, n, and p are positive integers, mnp= ?

1) \(m^4*np=2,835\)

2) p=7


1) \(m^4*np=2,835\)

\(m^4*n*p = 3^4*5*7\)

\(n*p\) can be ---> (1*56), (5*7), (7*5),(56*1) Insufficient.

2) p=7 Clearly insufficient.

(1)&(2) Sufficient at first glance but we should not forget about \(1\). \(m^4\) can bee either \(3^4\) or \(1^4\) ---- \(1^4*2835\) or \(3^4*56\). Still insufficient.

Answer E.
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Re: If m, n, and p are positive integers, mnp= ?  [#permalink]

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New post 15 Aug 2017, 08:17
Could you, please, elaborate on where 1*56 and 56*1 pairs for n*p are coming from? To me m can be either 1 or 3, if it is 3 then n*p=5*7=35.If m is 1 then n*p=2,835. I don't see how n*p can equal 56...Thanks
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Re: If m, n, and p are positive integers, mnp= ?  [#permalink]

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New post 15 Aug 2017, 09:35
venstein wrote:
Could you, please, elaborate on where 1*56 and 56*1 pairs for n*p are coming from? To me m can be either 1 or 3, if it is 3 then n*p=5*7=35.If m is 1 then n*p=2,835. I don't see how n*p can equal 56...Thanks



I agree-Answer should be A-Please confirm
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Re: If m, n, and p are positive integers, mnp= ?  [#permalink]

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Re: If m, n, and p are positive integers, mnp= ?  [#permalink]

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New post 02 Oct 2017, 19:54
Pay attention to special case in which m = 1!
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Re: If m, n, and p are positive integers, mnp= ?  [#permalink]

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New post 03 Oct 2017, 00:00
hazelnut wrote:
If m, n, and p are positive integers, mnp= ?

1) \(m^4*np=2,835\)

2) p=7


The answer is E

Factorization of 2835 =3^4*5*7

But we are not told that n and p have to be prime so following cases are possible
1*3
35*1
5*7
7*5
So insufficient
p=7
it does not provide information for other variable so insufficient

Together we know p=7 then n=5
Hence together they are sufficient

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Re: If m, n, and p are positive integers, mnp= ? &nbs [#permalink] 03 Oct 2017, 00:00
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