Is n an integer less than 5?

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Is n an integer less than 5?

by BTGmoderatorDC » Wed Aug 15, 2018 8:41 pm

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Is n an integer less than 5?

(1) 5n is a positive integer.
(2) n/5 is a positive integer.

OA B

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by GMATGuruNY » Thu Aug 16, 2018 2:15 am

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BTGmoderatorDC wrote:Is n an integer less than 5?

(1) 5n is a positive integer.
(2) n/5 is a positive integer.
Statement 1:
Make a list of options for 5n:
5n = 1, 2, 3, 4, 5...
To get a list options for n, divide every value above by 5:
n = 1/5, 2/5, 3/5, 4/5, 1...
If n = 1/5, the answer to the question stem is NO.
If n = 1, the answer to the question stem is YES.
INSUFFICIENT.

Statement 2:
Make a list of options for n/5:
n/5 = 1, 2, 3, 4, 5...
To get a list options for n, multiply every value above by 5:
n = 5, 10, 15, 20, 25...
Since none of the options for n is an integer less than 5, the answer to the question stem is NO.
SUFFICIENT.

The correct answer is B.
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