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# What is the value of the integer n?

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Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 539
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
What is the value of the integer n? [#permalink]

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27 Jan 2012, 16:39
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Difficulty:

25% (medium)

Question Stats:

77% (02:07) correct 23% (01:24) wrong based on 145 sessions

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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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Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

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Posts: 39723
Re: Value of integer n [#permalink]

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27 Jan 2012, 17:08
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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.

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Re: What is the value of the integer n? [#permalink]

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26 Apr 2016, 02:46
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Re: What is the value of the integer n?   [#permalink] 26 Apr 2016, 02:46
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