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# If h and j are positive integers, is j a multiple of 9?

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Math Expert
Joined: 02 Sep 2009
Posts: 55804
If h and j are positive integers, is j a multiple of 9?  [#permalink]

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15 Jan 2017, 09:18
1
3
00:00

Difficulty:

75% (hard)

Question Stats:

38% (01:43) correct 62% (01:57) wrong based on 84 sessions

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If h and j are positive integers, is j a multiple of 9?

(1) 9 is a factor of 6 + 3h
(2) 4 + j = 3h

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Joined: 13 Oct 2016
Posts: 363
GPA: 3.98
Re: If h and j are positive integers, is j a multiple of 9?  [#permalink]

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15 Jan 2017, 10:41
4
1
Bunuel wrote:
If h and j are positive integers, is j a multiple of 9?

(1) 9 is a factor of 6 + 3h
(2) 4 + j = 3h

(1) No relationship to j. Insufficient.

(2) This one tells us that j has a remainder 2 when divided by 3. If it's not divisible by 3 it won't be divisibl by 9 either. Sufficient.

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Joined: 21 Aug 2016
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Re: If h and j are positive integers, is j a multiple of 9?  [#permalink]

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15 Jan 2017, 14:58
1
vitaliyGMAT wrote:
Bunuel wrote:
If h and j are positive integers, is j a multiple of 9?

(1) 9 is a factor of 6 + 3h
(2) 4 + j = 3h

(1) No relationship to j. Insufficient.

(2) This one tells us that j has a remainder 2 when divided by 3. If it's not divisible by 3 it won't be divisibl by 9 either. Sufficient.

1. insufficient

2.

(4+j)/3 should result an integer h. 4+j can be divisble by 3 only if j is not divisible by 3. hence, j will not be divisible by 9. sufficient.

Correct answer is B
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Re: If h and j are positive integers, is j a multiple of 9?  [#permalink]

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24 Oct 2018, 09:50
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Re: If h and j are positive integers, is j a multiple of 9?   [#permalink] 24 Oct 2018, 09:50
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# If h and j are positive integers, is j a multiple of 9?

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