Another Inequality

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anantbhatia: Senior | Next Rank: 100 Posts; Posts: 98; Joined: Sat Feb 06, 2010 11:56 pm; Thanked: 5 times

by anantbhatia » Sun Oct 03, 2010 11:31 am

If two numbers, l and m, are both positive integers, are both l and m greater than r?

(1) m is greater than l

(2) l - m > r

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Source: Beat The GMAT — Data Sufficiency | Sun Oct 03, 2010 11:31 am

shovan85: Community Manager; Posts: 991; Joined: Thu Sep 23, 2010 6:19 amFollowed by: 24 members; Location: Bangalore, India; Thanked: 146 times

by shovan85 » Sun Oct 03, 2010 12:18 pm

From 1: m>l we cannot say anything about r. So NS.

From 2: l-m>r so the difference between the two integers is greater than r. But this does not necessarily satisfy whether r > 0.
Say l=4,m=1 and r=2: here l-m=3>r but r is still greater than m
Similarly say l=5,m=3 and r=1: here l-m=2>r and m is greater than r. So Not Suff.

Combining both you can definitely say l-m is negative as m>l. If a negative integer is greater than r that means r is more negative.
We know l and m both are positive. So sufficient.

IMO C

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