Is n is equal to 100 ?

This topic has expert replies
Source: — Data Sufficiency |

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed May 07, 2014 10:33 am
viveksavita wrote:if n is positive integer, is n is equal to 100?

1) square root(n) >9
2) square root (n) <11
Statement 1: √n > 9
Squaring both sides, we get:
n > 81.
Since n can be ANY INTEGER greater than 81, INSUFFICIENT.

Statement 2: √n < 11
Squaring both sides, we get:
n < 121.
Since n can be ANY POSITIVE INTEGER less than 121, INSUFFICIENT.

Statements combined:
Since n can be ANY INTEGER between 81 and 121, INSUFFICIENT.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3