In the figure above, is CD BC ?

Question

Line-1.png In the figure above, is CD > BC ? (1) AD = 20 (2) AB = CD

sauravleo123 · Answer

Its straight E
AB=4 CD=4 BC=12 
Answer is No
AB=8 CD=8 BC=4
Answer is No
E

grichagupta · Answer

Even if we combine both the statements, we can not infer whether CD > BC because:

Let AB = CD = x
AD = 20
Hence, 2x+BC = 20
or BC = 20- 2x

We are asked to determine if CD > BC which implies if x> 20-2x 
or 3x> 20
or x> 20/3 ?
And we do not know the value of x.
Hence, Statement 1 and 2 together also are insufficient to answer the question.
Ans E

longhaul123 · Answer

Let AB =x BC=y and CD=z therefore AD =x+y+z and the question stem is , IS z>y? from statement 1 x+y+z=20 hence we dont know the individual values NS. statement 2 say that x=z but there are no numerical values NS. 1+2 together 2z+y=20 and we cannot find the individual values, Hence E. Let me know if my method is correct. Thank you

suganyam · Answer

(1) AD = 20
(2) AB = CD

1) given the either length so NS
2)ab=x bc=k Ccd=x //no idea of the length of line so NS
1+2 2x+k=20
if x=5 K=10 bc>cd
if x=9 k=2 here cd>bc
 Hence option E

TheUltimateWinner · Answer

What IF: (a little changed version)
In the figure above if the distance is in integer mode, is CD > BC ?

(1) AD = 3
(2) AB = CD
The correct answer is D, right?  IanStewart ?

IanStewart · Answer

Why do you think Statement 2 would be sufficient alone in that question?

TheUltimateWinner · Answer

Oh, it is my bad-i've mistakenly correlated statement 1 (total distance is 3) when i tried to solve statement 2! Ok, it is A.
Thanks__

suminha · Answer

Wait, I’m so confused. I thought the question is C*D>B*C..
Are we dealing with the DISTANCE between C and D and B and C? 
What a kind question.. geez

Posted from my mobile device

palaknayyar · Answer

a simple question and can probably solve without pen and paper. Let's give it a go

statement 1: doesn't really tell us much about CD and BC individually. Not sufficient. 
statement 2: again, no real information; this time, not even a number as in B. Not sufficient. So A,B and D are off.

Combining the 2 statements: as we can that the line AD can be divided into 3 parts. Let's say AB= x, this will mean CD =x (statement B). No info on BC so let it be y. 
2x+y=20... we can't solve this unless we have another equation with the same variables.

The final Answer is E.

Key here was to realise not to assume that the 3 parts are of equal length even thought it may look like that in the diagram. Wait for the question to say that explicitly

Jaya6 · Answer

Hey, can someone clarify the question?
is it a number line question? I thought B alone was sufficient

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In the figure above, is CD > BC ?

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