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

Question

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.

gmathopful · Answer

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

s4ur4bh · Answer

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

Juaz · Answer

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

BG · Answer

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

gmathopful · Answer

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

vshaunak@gmail.com · Answer

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'

gmathopful · Answer

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.

techjanson · Answer

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

ywilfred · Answer

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

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

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