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# Which of the following is a multiple of 4!+6?

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Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
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GMAT 1: 730 Q49 V45
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WE: Information Technology (Consulting)
Which of the following is a multiple of 4!+6? [#permalink]

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06 Jul 2011, 07:34
00:00

Difficulty:

35% (medium)

Question Stats:

54% (01:43) correct 46% (00:47) wrong based on 95 sessions

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Which of the following is a multiple of 4! + 6?

a) 2!+3
b) 4!+12
c) 5!+6
d) 5!+30
e) 8!+12

[Reveal] Spoiler: My Approach
Ans: D
My approach --> I can solve it mathematically i..e from choice D factor out 5(4!+6). Therefore its correct.

But what's the concept in this question. Can we solve this by considering prime factors?
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Jun 2017, 01:37, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 09 Nov 2010
Posts: 63
Location: Paris, FRANCE
Re: Which of the following is a multiple of 4!+6? [#permalink]

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06 Jul 2011, 09:29
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enigma123 wrote:
Which of the following is a multiple of 4!+6?
a)2!+3
b) 4!+12
c)5!+6
d)5!+30
e)8!+12

[Reveal] Spoiler: My Approach
Ans: D
My approach --> I can solve it mathematically i..e from choice D factor out 5(4!+6). Therefore its correct.

But what's the concept in this question. Can we solve this by considering prime factors?

Personally, I would have started it with the stimulus and yes, considering prime factors:

4! + 6 = 4 * 3 * 2 + 6 = 6(4 + 1) = 6 * 5 = 2 * 3 * 5

So the correct answer is the one which is a multiple of 2, of 3 and of 5.
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Nicholas MOSES

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Posts: 104
Re: Which of the following is a multiple of 4!+6? [#permalink]

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06 Jul 2011, 09:45
by scanning thru the choices
5*(4!+6 ) = 5! + 30
D.
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Joined: 09 Sep 2013
Posts: 15921
Re: Which of the following is a multiple of 4!+6? [#permalink]

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16 Jun 2017, 00:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following is a multiple of 4!+6?   [#permalink] 16 Jun 2017, 00:39
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