Is n > 6?

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Is n > 6?

by BTGmoderatorAT » Thu Sep 14, 2017 4:32 am
Is n > 6?

(1) n√>2.5n>2.5
(2) n>37−−√

Anyone, please, could share the process of solving this problem.

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by Brent@GMATPrepNow » Thu Sep 14, 2017 6:50 am
ardz24 wrote:Is n > 6?

(1) n√>2.5n>2.5
(2) n>37−−√

Anyone, please, could share the process of solving this problem.
You might want to check your posts after you enter them :-)

Cheers,
Brent
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by Brent@GMATPrepNow » Thu Sep 14, 2017 6:58 am
So, here's the ACTUAL question...
Is n > 6
1) √n > 2.5
2) n > √37
Target question: Is n > 6?

Statement 1: √n > 2.5
Square both sides to get: n > (2.5)²
Evaluate to get: n > 6.25
If n > 6.25, then we can be CERTAIN that n > 6
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: n > √37
First recognize that √36 < √37
In other words, 6 < √37
Statement 2 tells us that √37 < n
So, we can COMBINE the inequalities to get 6 < √37 < n
From this, we can conclude that n > 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
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