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# If n is a positive integers, is n/6 an integer?

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Math Expert
Joined: 02 Sep 2009
Posts: 56272
If n is a positive integers, is n/6 an integer?  [#permalink]

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24 Sep 2018, 06:14
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Difficulty:

25% (medium)

Question Stats:

75% (00:51) correct 25% (01:02) wrong based on 42 sessions

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If n is a positive integers, is n/6 an integer?

(1) n is a product of three consecutive integers.
(2) n is a multiple of 3.

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Re: If n is a positive integers, is n/6 an integer?  [#permalink]

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24 Sep 2018, 07:12
Bunuel wrote:
If n is a positive integers, is n/6 an integer?

(1) n is a product of three consecutive integers.
(2) n is a multiple of 3.

1) n= x(x+1)(x+2) as x>0 & x integer , out of the the product of three consecutive will have a factor as 2 and a factor as 3.
==> n is divisible by 6 ==> n/6 is an integer. ..............................S
2) n=12 (3*4).... n is divisible by 6
n=15 (3*5).....n is not divisible by 6.................................NS

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Re: If n is a positive integers, is n/6 an integer?   [#permalink] 24 Sep 2018, 07:12
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