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Is the positive integer x an even number?

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by BTGmoderatorDC » Thu Feb 20, 2020 5:34 pm
Is the positive integer x an even number?

(1) If x is divided by 3, the remainder is 2.
(2) If x is divided by 5, the remainder is 2.



OA E

Source: Veritas Prep
Last edited by BTGmoderatorDC on Fri Feb 21, 2020 4:38 pm, edited 1 time in total.
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Source: — Data Sufficiency |

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Re: Is the positive integer x an even number?

by Jay@ManhattanReview » Thu Feb 20, 2020 10:45 pm
BTGmoderatorDC wrote: ↑
Thu Feb 20, 2020 5:34 pm
 Is the positive integer x an even number?

(1) If x is divided by 3, the remainder is 2.
(2) If x is divided by 5, the remainder is 2.

OA E

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

(1) If x is divided by 3, the remainder is 2.

x can be 8 or 11; thus, x can be even or odd. Insufficient.

(2) If x is divided by 5, the remainder is 2.

x can be 7 or 12; thus, x can be even or odd. Insufficient.

(1) and (2) together

x can be 17 or 32; thus, x can be even or odd. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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