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Factorials

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Director
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Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
Posts: 563
Location: United Kingdom
Concentration: International Business, Strategy
GMAT Date: 06-22-2012
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 13

Kudos [?]: 357 [0], given: 217

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

Difficulty:

  5% (low)

Question Stats:

67% (01:38) correct 33% (00:16) wrong based on 6 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
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Posts: 63
Location: Paris, FRANCE
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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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GMAT Tests User
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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