## Is $$n > 6?$$

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### Is $$n > 6?$$

by Vincen » Sat Nov 27, 2021 4:09 am

00:00

A

B

C

D

E

## Global Stats

Is $$n > 6?$$

(1) $$\sqrt{n}>2.5$$
(2) $$n>\sqrt{37}$$

Source: GMAT Prep

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### Re: Is $$n > 6?$$

by [email protected] » Sat Nov 27, 2021 7:33 am

00:00

A

B

C

D

E

## Global Stats

Vincen wrote:
Sat Nov 27, 2021 4:09 am
Is $$n > 6?$$

(1) $$\sqrt{n}>2.5$$
(2) $$n>\sqrt{37}$$

Source: GMAT Prep
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