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

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards