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integers

Expert replies
Source: — Data Sufficiency |

by Robinmrtha » Sat Jul 11, 2009 4:52 am
I also got E
Statement 1.
w + c > 50
here the possible values for w and c are (-5,60), (5,55)

Statement 2.
c > 48
says nothing about W
insufficient

Combining both
when c = 49, w=6
when c= 55, w= -3

How come C is the answer....?
I am pretty sure that E is the answer......
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e

by brick2009 » Sat Jul 11, 2009 7:21 am
answer must be E.

Combining both:


If w and c are integers, is w > 0?
(1) w + c > 50
(2) c > 48


If C = 49 => W + 49 > 50 => W>1 (yes)
If c = 60 => w+60>50 => w > -10 (not same as W>0) (No)

two varying answers...cant be C ..has to be E

(gurus...plz throw some light)
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by ketkoag » Sat Jul 11, 2009 8:08 am
i was also shocked when i saw the OA.. it might be incorrect then....... this question is from set.
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by gmat740 » Sat Jul 11, 2009 9:40 am
The answer has to be E

but lets say if we consider C as an answer then we have to change the sign of equation in (2)

if c<48
then the max value of c can be 47

c+w >50

putting the max value of c

w+47>50
w>3

so w>0

this I think might be a correct way of getting C, otherwise with the problem stated, answer is E

Hope this helps
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by pavan.mpv » Tue Feb 21, 2012 11:11 pm
I agree. Answer should be E
st 1 - w+c>50 -- if w=-2 and c=52 case, w<0 and if w=2 and c=48 then w>0 -- hence insuff
st 2 - c> 48 -- that implies c can be 50 or even greater -- insufficient
both combined also we will not get the answer. Hence I am pretty sure, answer should be E
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by Anurag@Gurome » Wed Feb 22, 2012 4:57 am
ketkoag wrote:If w and c are integers, is w > 0?
(1) w + c > 50
(2) c > 48
[spoiler]
i got E for this one but Oa is C. please explain how?[/spoiler]
(1) If w = 30, c = 21, then w > 0
If w = -10, c = 61, then w < 0
No definite answer; NOT sufficient.

(2) c > 48 gives no info about w; NOT sufficient.

Combining (1) and (2), If w = 30, c = 51, then w > 0
If w = -10, c = 61, then w < 0; NOT sufficient.

The correct answer is E.

I think that statement 1 should be w + c < 50 instead of w + c > 50. In that case, both the statements alone are not sufficient. When we combine the two statements: If we take c = 49 (the smallest possible value of c), then w = 0 for w + c < 50 to hold true. This means that w < 0 always, and the answer to the question is "no". Then the correct answer would be C.
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