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What is the value of the positive integer m ?

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Source: — Data Sufficiency |

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Re: What is the value of the positive integer m ?

by Jay@ManhattanReview » Fri Jan 31, 2020 10:02 pm
BTGmoderatorDC wrote: ↑
Fri Jan 31, 2020 4:32 pm
 What is the value of the positive integer m ?

(1) When m is divided by 6, the remainder is 3.
(2) When 15 is divided by m, the remainder is 6.

OA B

Source: GMAT Prep
Let's take each statement one by one.

(1) When m is divided by 6, the remainder is 3.

m can be 9, 15, 21, ... etc. No unique answer. Insufficient.

(2) When 15 is divided by m, the remainder is 6.

Since m is a positive integer and less than 15, the only possible value for m is 9. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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Re: What is the value of the positive integer m ?

by swerve » Sat Feb 01, 2020 1:45 pm
BTGmoderatorDC wrote: ↑
Fri Jan 31, 2020 4:32 pm
 What is the value of the positive integer m ?

(1) When m is divided by 6, the remainder is 3.
(2) When 15 is divided by m, the remainder is 6.



OA B

Source: GMAT Prep
\(\dfrac{15}{m} = q + 6\)

\(m\) thus has to be more than 6
\(15 = mq +6\)
\(mq = 9\)
\(m\) can be only 9, since \(m\) has to be an integer, and \(q\) too.

Therefore, B.
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