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What is the value of the integer n? (1) N!= (N-1)!*N (2)

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Manager
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Joined: 16 May 2011
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Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
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What is the value of the integer n? (1) N!= (N-1)!*N (2) [#permalink] New post 06 Jun 2011, 09:39
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

100% (01:44) correct 0% (00:00) wrong based on 12 sessions
What is the value of the integer n?
(1) N!= (N-1)!*N

(2) N^3+3N^2+2N is divisible by 3


ANY HELP WILL BE WELCOMED
[Reveal] Spoiler: OA
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Senior Manager
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Re: FRACTIONS [#permalink] New post 06 Jun 2011, 11:36
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St 1 doesnt provide any information. Its just another way of expressing N!.

St 2 - solving the equation we get N (N+1) (N+2) is divisible by 3. N can have lot of values like 4,5,6,7.. etc.
so not sufficient.

together also we dont get a unique value of N.

So E.

I am not sure if this is GMAT Q. Does Gmat provide a sufficiency statement like 1? What is the source of the Q.
Manager
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Re: FRACTIONS [#permalink] New post 06 Jun 2011, 13:24
it's taken from manhattan archive- which includes some of the hardest i have seen and frankly i believe that only som GC legends will be able to solve some of them under 4 minutes.

by the way, how do you decide to prefer E (which is correct) and not C
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Re: FRACTIONS [#permalink] New post 06 Jun 2011, 13:39
1/ N! = N(N-1)(N-2).... = N[(N-1)(N-2)....] = N*(N-1)! so there is no new info brought by this by 1/. It is just another expression of N!

2/ N^3+3N^2+2N is divisible by 3: You can find endless integers fulfilling this condition.

--> The answer is E
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Re: FRACTIONS [#permalink] New post 06 Jun 2011, 13:59
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dimri10 wrote:
it's taken from manhattan archive- which includes some of the hardest i have seen and frankly i believe that only som GC legends will be able to solve some of them under 4 minutes.

by the way, how do you decide to prefer E (which is correct) and not C


Vow, MGMAT? i guess than must be to trick people.

Basically, if you combine A and B, there is no additional info other than what we have achieved in B. Because remember that A doesn't provide any other info other than its just different way of expressng N!.
Re: FRACTIONS   [#permalink] 06 Jun 2011, 13:59
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What is the value of the integer n? (1) N!= (N-1)!*N (2)

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