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Inequalities

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Inequalities

by rahulvsd » Sat Oct 29, 2011 6:43 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

OA: [spoiler]C. This is how I solved this. Each statement aint sufficient, now when we add the two statements, we get m + l > l + r + m. Now on reducing we get r < 0. Since l and m are both positive, we can say that they are greater than r which is negative. Is this correct way to do?[spoiler][/spoiler]
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Source: — Data Sufficiency |
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by GmatKiss » Sat Oct 29, 2011 7:11 am
to find, l > r and m > r
Given l,m is positive

From 1)

m > l - Not sufficient (No info on r)

From 2)

Not sufficient ( r can be positive/negative)

From 1 and 2)

l - m > r => l-m is negative. and so r must be negative.
sub:

l=5
m=10

so, 5 - 10 < r
-5 < r

so r is < -5 (negative)

Success!!!!
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by vaibhavgupta » Sat Oct 29, 2011 3:10 pm
rahulvsd wrote: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

OA: [spoiler]C. This is how I solved this. Each statement aint sufficient, now when we add the two statements, we get m + l > l + r + m. Now on reducing we get r < 0. Since l and m are both positive, we can say that they are greater than r which is negative. Is this correct way to do?[spoiler][/spoiler]
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