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# If p is a positive integer, Is integer m a multiple of 6?

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Math Expert
Joined: 02 Sep 2009
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If p is a positive integer, Is integer m a multiple of 6?  [#permalink]

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05 Dec 2016, 23:46
1
2
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Difficulty:

15% (low)

Question Stats:

76% (01:26) correct 24% (01:29) wrong based on 113 sessions

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If p is a positive integer, Is integer m a multiple of 6?

(1) 3p + 3 = m
(2) 7! + 3 = m

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Joined: 03 Apr 2016
Posts: 16
Re: If p is a positive integer, Is integer m a multiple of 6?  [#permalink]

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06 Dec 2016, 00:52
P=m/3-1 p is a positive interger..So m is multmultiple of 3...but not necessarily multiple of 6...NO

3 (7×6×5×4×2 + 1) = m. Again m is multiple of 3. Same as above.

E.

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Re: If p is a positive integer, Is integer m a multiple of 6?  [#permalink]

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06 Dec 2016, 00:54
Sorry auto correct *NO is NS

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Re: If p is a positive integer, Is integer m a multiple of 6?  [#permalink]

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06 Dec 2016, 00:59
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1
Here is my solution to this one ->

Given info -->
p and m are integers.
We are asked if m is multiple of 6 or not.

Statement 1 -->
if p=1 => m is divisible by 6
if p=2 => m is not divisible by 6

hence not sufficient

Statement 2-->
m=7!+3
m=6k+3 for some integer k
Hence it will leave a remainder 3 when divide by 6.
Hence m is not divisible by 6.

Hence Sufficient

Hence B

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Re: If p is a positive integer, Is integer m a multiple of 6?  [#permalink]

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06 Dec 2016, 03:15
1
Bunuel wrote:
If p is a positive integer, Is integer m a multiple of 6?

(1) 3p + 3 = m
(2) 7! + 3 = m

FROM 1

m is a multiple of 3 and should we know p is odd then m is a multiple of 6 which is not provided ... insuff

from 2

7! is even+ odd = odd , thus m is odd then definitely m is not a multiple of 6 ( even) ... suff

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Re: If p is a positive integer, Is integer m a multiple of 6?  [#permalink]

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11 Oct 2018, 15:09
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Re: If p is a positive integer, Is integer m a multiple of 6?   [#permalink] 11 Oct 2018, 15:09
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