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# n is a positive integer that is divisible by 6.

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n is a positive integer that is divisible by 6. [#permalink]  18 Jan 2016, 08:31
Expert's post
00:00

Question Stats:

81% (00:40) correct 18% (00:50) wrong based on 173 sessions
n is a positive integer that is divisible by 6.

 Quantity A Quantity B The remainder when n isdivided by 12 The remainder when n isdivided by 18

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Page: 339
Difficulty: medium
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 13342
Followers: 288

Kudos [?]: 3378 [0], given: 12174

Re: n is a positive integer that is divisible by 6. [#permalink]  18 Jan 2016, 08:35
Expert's post
Solution

Picking numbers: $$n = 6,12,18,24,......$$

In either case the remainder can be zero or 6. Between the 2 quantities you do not know wich is which. So you do not have enough information to solve the question.

The answer is $$D$$
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Intern
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Kudos [?]: 12 [1] , given: 15

Re: n is a positive integer that is divisible by 6. [#permalink]  22 Jan 2018, 07:56
1
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i got this question in one of the test i had given
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Re: n is a positive integer that is divisible by 6. [#permalink]  23 Jan 2018, 09:26
D is the correct answer. You need to substitute values for this.
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Re: n is a positive integer that is divisible by 6. [#permalink]  26 Jan 2018, 11:57
D
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Re: n is a positive integer that is divisible by 6. [#permalink]  25 Apr 2018, 08:33
D
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Re: n is a positive integer that is divisible by 6. [#permalink]  16 Oct 2019, 06:42
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Expert's post
Carcass wrote:
n is a positive integer that is divisible by 6.

 Quantity A Quantity B The remainder when n isdivided by 12 The remainder when n isdivided by 18

GIVEN: n is a positive integer that is divisible by 6.
In other words, n is a multiple of 6
So, some possible values of n are: 6, 12, 18, 24, 30, 36,...

Let's test some possible values of n

case i: test n = 12
We get:
Quantity A: The remainder when 12 is divided by 12 is 0
Quantity B: The remainder when 12 is divided by 18 is 12
In this case, Quantity B is greater

case ii: test n = 36
We get:
Quantity A: The remainder when 36 is divided by 12 is 0
Quantity B: The remainder when 36 is divided by 18 is 0
In this case, the quantities are EQUAL

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Re: n is a positive integer that is divisible by 6.   [#permalink] 16 Oct 2019, 06:42
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