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Factorials

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TAGS:
Director
Director
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Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 552
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V40
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 32

Kudos [?]: 1257 [0], given: 217

Factorials [#permalink] New post 06 Jul 2011, 06:34
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

57% (01:38) correct 43% (00:26) wrong based on 7 sessions
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
Manager
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Joined: 09 Nov 2010
Posts: 63
Location: Paris, FRANCE
Followers: 6

Kudos [?]: 32 [0], given: 3

Re: Factorials [#permalink] New post 06 Jul 2011, 08:29
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.
_________________

Nicholas MOSES

GMAT/Academic Manager
c/o MBA Center Paris

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Joined: 11 Apr 2011
Posts: 109
Followers: 0

Kudos [?]: 24 [0], given: 16

Re: Factorials [#permalink] New post 06 Jul 2011, 08:45
by scanning thru the choices
5*(4!+6 ) = 5! + 30
D.
Re: Factorials   [#permalink] 06 Jul 2011, 08:45
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