BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If a ≠ 0, does xa = a?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

If a ≠ 0, does xa = a?

by VJesus12 » Wed Jun 20, 2018 2:28 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

If a ≠ 0, does xa = a?

(1) x is a single digit prime integer

(2) 0 < a < 10

The OA is the option A.

Why is sufficient the first statement? I think the answer should be E. Could anyone help me? Please.
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

by Vincen » Wed Jun 20, 2018 3:34 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Hello Vjesus12.

Here we are asked if ax=a. This is equivalent to ask: x=1?

Because since a ≠ 0 we can divide both sides of the equation and get x=1.

First Statement
(1) x is a single digit prime integer
Here we know that x is a single digit prime number, then x=2, 3, 5 or 7. Hence x ≠ 1.
Therefore, the answer to the question is NO. So, this statement is sufficient.

Second Statement
(2) 0 < a < 10
Here we don't know anything about x. Therefore, this statement is not sufficient.

So, the correct answer is the option A.

I hope it helps you. <i class="em em-smiley"></i>
Top
Post new topic Post Reply
• Page 1 of 1