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If a, b, and c are integers, is a - b + c greater than a+ b

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by pappueshwar » Sun Mar 18, 2012 1:24 am
If a, b, and c are integers, is a - b + c greater than a+ b - c?

1) b is negative
2) c is positive

OA IS C

How to approach these kind of problems? there are so many combinations of numbers that are to be taken for A, B,C
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by Anurag@Gurome » Sun Mar 18, 2012 5:02 am
pappueshwar wrote:If a, b, and c are integers, is a - b + c greater than a+ b - c?

1) b is negative
2) c is positive

OA IS C

How to approach these kind of problems? there are so many combinations of numbers that are to be taken for A, B,C
Is (a - b + c) > (a + b - c)?
Or is 2c > 2b
Or is c > b?

(1) b is negative or b < 0 does not imply if c > b or not; NOT sufficient.

(2) c is positive or c > 0 again does not imply if c > b or not; NOT sufficient.

Combining (1) and (2), b < 0 and c > 0 implies c > b; SUFFICIENT.

The correct answer is C.
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by pappueshwar » Sun Mar 18, 2012 5:36 am
Anurag,

how is the below eq solved? i mean how did u get 2c> 2b

Is (a - b + c) > (a + b - c)?
Or is 2c > 2b
Or is c > b?
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by Anurag@Gurome » Sun Mar 18, 2012 7:30 pm
pappueshwar wrote:Anurag,

how is the below eq solved? i mean how did u get 2c> 2b

Is (a - b + c) > (a + b - c)?
Or is 2c > 2b
Or is c > b?
(a - b + c) > (a + b - c)
Subtract a from both sides, we get
(-b + c) > (b - c)
Adding b on both sides,
c > 2b - c
Adding c on both sides,
2c > 2b

Hope that helps.
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by ameya85 » Mon Mar 19, 2012 12:17 am
Thanks for the explaination Anurag. It took me 2:32 min to solve this question with all possible combination. I have mostly overlooked importance of re-phrasing the DS question while studying Manhattan Guides but now I see how important re-phrasing is. With the re-phrasing, question could have been solved in less than a minute. :)

Ameya
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