Inequalities

This topic has expert replies
Source: — Problem Solving |

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 Jul 10, 2013 3:33 am
abhirup1711 wrote:Is mp greater than m?
(1) m > p > 0
(2) p is less than 1
Statement 1: m > p > 0
Since m > 0, we can simplify the question stem by dividing by m:
mp > m
p > 1.
Question stem rephrased: Is p > 1?
Since it's possible that p=1/2 or that p=2, INSUFFICIENT.

Statement 2: p < 1
Case 1: p=0 and m=1, with the result that mp = 1*0 = 0.
Here, mp < m.
Case 2: p=0 and m=-1, with the result that mp = -1*0 = 0.
Here, mp > m.
INSUFFICIENT.

Statements combined:
Question rephrased in statement 1: Is p > 1?
Statement 2: p < 1.
Since statement 2 gives a definitive answer to the rephrased question, SUFFICIENT.

The correct answer is C.
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