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OG Is 5^(X+2)/25 < 1?

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG Is 5^(X+2)/25 < 1?

Post Wed Aug 23, 2017 9:21 pm
Is 5^(x+2)/25 < 1?

(1) 5^x < 1
(2) x < 0

D

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Post Thu Aug 24, 2017 6:03 pm
Hi AbeNeedsAnswers,

We're asked if [5^(X+2)]/25 is less than 1. This is a YES/NO question. With certain DS prompts, it can sometimes help to do a bit of set-up work before you work on the two Facts.

Here, we know that 5^2 = 25, so if X=0, then we'd have 25/25 = 1. So the issue here really comes down to whether X is less than or equal to 0. If it IS less than or equal to 0, then the answer to the question will be YES. If X is > 0 though, then the answer will be NO.

1) 5^X < 1

Since 5^0 = 1, with this Fact we know that X MUST be less than 0... so the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT

2) X < 0

From our set-up work, we know that this leads to an ALWAYS YES answer.
Fact 2 is SUFFICIENT

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

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