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Is the positive integer x an even number?

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by Gmat_mission » Sat Apr 06, 2019 4:56 am

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Answers

A

B

C

D

E

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Difficulty—

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.

[spoiler]OA=E[/spoiler]

Source: Veritas Prep
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Sat Apr 06, 2019 7:46 am
Gmat_mission wrote: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.

[spoiler]OA=E[/spoiler]

Target question: Is x an even number?

Jump straight to.....

Statements 1 and 2 combined
There are infinitely many values of x that satisfy BOTH statements. Here are two:
Case a: x = 32. In this case, the answer to the target question is YES, x IS an even number
Case b: x = 17. In this case, the answer to the target question is NO, x is NOT an even number
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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