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What is the value of the integer n?

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What is the value of the integer n? [#permalink] New post 27 Jan 2012, 15:39
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Difficulty:

  25% (medium)

Question Stats:

75% (02:18) correct 25% (01:25) wrong based on 78 sessions
What is the value of the integer n?

(1) n! = n × (n – 1)!
(2) n^3 + 3n^2 + 2n is divisible by 3
[Reveal] Spoiler: OA

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Re: Value of integer n [#permalink] New post 27 Jan 2012, 16:08
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enigma123 wrote:
What is the value of the integer n?
(1) n! = n × (n – 1)!
(2) n^3 + 3n^2 + 2n is divisible by 3

For me its clear E as we can't find the value of n from either of the statement. but, as I don't have an OA I thought to double check with you guys.


What is the value of the integer n?

(1) n!=n*(n – 1)! --> n*(n – 1)! equals to n! itself, so we have n!=n!. Useless statement.

(2) n^3 + 3n^2 + 2n is divisible by 3 --> n(n^2+3n+2)=n(n+1)(n+2): we have the product of 3 consecutive integers, which is ALWAYS divisible by 3. Useless statement.

(1)+(2) Two useless statements. Not sufficient.

Answer: E.
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Re: Value of integer n   [#permalink] 27 Jan 2012, 16:08
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