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Is a positive integer x an even number?

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by Gmat_mission » Sun May 13, 2018 10:12 am

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A

B

C

D

E

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Difficulty—

Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.

[spoiler]OA=A[/spoiler].

Why is not sufficient the second statement? I need some help. Could anyone help me here? Thanks in advance.
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by Vincen » Sun May 13, 2018 10:48 am
Gmat_mission wrote:Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.

[spoiler]OA=A[/spoiler].

Why is not sufficient the second statement? I need some help. Could anyone help me here? Thanks in advance.
Hello Gmat_mission.

We have to answer if x is even or not?

1) The smallest prime factor of x is 2.

Since 2 is a factor of "x", this implies that x is even. Hence, this statement is SUFFICIENT.

2) The greatest prime factor of x is 13.

This statement doesn't tell us anything about the number "x". We can have two cases:

- If x=13 then "x" is NOT even.
- If x=26 then "x" is even.

Since we got two different cases, we conclude that this statement is NOT SUFFICIENT.

Therefore, the correct answer to this question is the option A.

I hope this can help you.
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