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DS - Test Code 55 , Section#5 prob#17

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gmathopful
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DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   Updated on: 08 Apr 2007, 11:26
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A
B
C
D
E

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I thought answer should be A, but it is D

17. If a + b= 200 and a c + d?
(1) c + d < 200
(2) b + c + d = 300

Please help.



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Originally posted by gmathopful on 08 Apr 2007, 11:14.
Last edited by gmathopful on 08 Apr 2007, 11:26, edited 1 time in total.
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   08 Apr 2007, 11:18
Sorry read the question as

If a + b= 200 and b > a , is a+b > c + d ?
(1) c + d < 200
(2) b + c + d = 300
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   08 Apr 2007, 23:19
If a + b= 200 and b > a , is a+b > c + d ?
(1) c + d < 200
(2) b + c + d = 300

Basically we want to know if c+d < 200

Statement 1 thus alone is sufficient to answer the question.

Answer A

Can OG be wrong ... ? :D
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 02:22
[quote="gmathopful"]Sorry read the question as

If a + b= 200 and b > a , is a+b > c + d ?
(1) c + d <200> 300-b ?
=>a+2b>300 ?

as b>a, equation always holds true

=> (2) is suff

Ans D
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 02:33
Hi,
Please note that from stem b>100 and then in stmnt 2 c+d<200 as it is given that b+c+d=300
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 17:10
Juaz wrote:
(1) c + d <200> 300-b ?
=>a+2b>300 ?

I'm curious to know logic of how you came to a+2b>300 ( is it because b>100 , as pointed by BG) .

And Thanks all. I missed part of deriving that a+b =200 means that one of the number needs to be > 100
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 18:42
[quote="gmathopful"]Sorry read the question as

If a + b= 200 and b > a , is a+b > c + d ?
(1) c + d <200> a, this means that b > 100
c+d = 300-b then c+d < 200 which is the statement1. Hence SUFF

Answer is 'D'
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 19:41
the tags < > less than, greater than mess up the posts. So I couldn't get it.
Thanks all.

Or not. this < > notation may be new to me. :( :(
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 20:55
[quote="gmathopful"]Sorry read the question as

If a + b= 200 and b > a , is a+b > c + d ?
(1) c + d <200> a. this means that b >= 101

The main question can be reduced to is 200 > (c + d)

(1) is SUFF

for (2) we have b + c + d = 300. Since b > 101 this means (c + d) <= 199

Hence SUFF

So answer is D
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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink] New post   09 Apr 2007, 22:11
The question is asking if c+d is less than 200.

St1: Answers that question. Good.

St2:
a+b = 200
a = 200-b

We know b cannot be 100, since that will result in a+b. In order for b to be greater than a, b must be at least 101. so b >= 101.

c+d = 300-b
If b is 101, then C+d = 199, which is less than 200. Sufficient.

Ans D



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Re: DS - Test Code 55 , Section#5 prob#17 [#permalink]
09 Apr 2007, 22:11
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