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Source: — Data Sufficiency |
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by theCodeToGMAT » Tue Nov 26, 2013 10:08 pm
a + b = 200
a < b

To find: a + b > c + d

Statement 1:
c + d < 200
We know a+b=200..
So, YES
SUFFICIENT

Statement 2:
b + c + d = 300
We know that a < b
Assume b = 101 then c + d = 199
Assume b = 199 then c + d = 101
So, a + b > c + d
SUFFICIENT

Answer [spoiler]{D}[/spoiler]
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by [email protected] » Tue Nov 26, 2013 10:48 pm
Hi Ankitaverma,

In DS questions, it's important to pay attention to every piece of information that you're given.

We're told that A + B = 200 and A < B. With these two pieces of information, we know that B > 100 and A < 100.

We're asked if A + B > C + D? With the first piece of information, we can rewrite the question as...

Is 200 > C + D? This is a YES/NO question.

Fact 1: C + D < 200

This data allows us to easily answer the question (and the answer is ALWAYS YES).
Fact 1 is SUFFICIENT.

Fact 2: B + C + D = 300

At first glance, this might appear insufficient, but remember the information given in the prompt (B > 100). With THAT info, C + D must be less than 200, so the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT.

Final Answer: D

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
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