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

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

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New post Updated on: 16 Jun 2017, 01:37
7
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (01:04) correct 36% (01:09) wrong based on 246 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

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?

Originally posted by enigma123 on 06 Jul 2011, 07:34.
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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Re: Which of the following is a multiple of 4!+6?  [#permalink]

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New post 06 Jul 2011, 09:29
1
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

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

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

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New post 05 Nov 2018, 04:27
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Re: Which of the following is a multiple of 4!+6?   [#permalink] 05 Nov 2018, 04:27
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