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

Question

1)  m^4*np=2,835

2) p=7

vitaliyGMAT · Answer

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.

venstein · Answer

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

KS15 · Answer

I agree-Answer should be A-Please confirm

Bunuel · Answer

E is correct. Consider the following:

m = 1, n = 3^4*5, p = 7 --> mnp = 2,835;
m = 3, n = 5, p = 7 --> mnp = 105.

Answer: E.

leanhdung · Answer

Pay attention to special case in which m = 1!

arvind910619 · Answer

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

stne · Answer

When the question says m,n and p are positive integers, the confusion lies in wondering whether m, n and p are single digit integers or not.
If they are single digit then answer is A, if not then answer is E

Aprajita760 · Answer

Statement I can be re-written as: m^3(mnp)=2835--- Insufficient to solve.
Statement II says p=7 which is not sufficient to put into any equation and solve for mnp.

Hence the answer is E.

bumpbot · Answer

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

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