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Factorials [#permalink] New post 06 Jul 2011, 07:34
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Question Stats:

100% (01:11) correct 0% (00:00) wrong based on 0 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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Re: Factorials [#permalink] New post 06 Jul 2011, 09:29
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.
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Re: Factorials [#permalink] New post 06 Jul 2011, 09:45
by scanning thru the choices
5*(4!+6 ) = 5! + 30
D.
Re: Factorials   [#permalink] 06 Jul 2011, 09:45
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