Dude you joined this forum almost 1 year back and posted so many post,
aren't you aware of using spoilers :

Anyway.....

Its really a simple question and become easiest as you have given open answer.

According to statement 1, AD = 20.
It doesn't reveal any information regarding the length of BC and CD. So, statement 1 is not sufficient at all.

According to statement 2, AB = CD.
There is neither any relation provided nor it can be derived by any means of BC with either AB or CD or AD or AC or BD.

So, statement (2) is not sufficient to derive the answer.

So choices (A), (B) and (D) are not the answers.

Now lets take both the statements together.

AD = 20 and AB = CD.

AB + BC + CD = 20 (because AD = 20)
2CD + BC = 20 (because AB = CD)

On checking the above equation, we can have multiple values of CD and BC, which results either CD > BC or CD < BC.

So, both statements togther also unable to derive the answer.

Hence, choice (E) is the correct answer.

Dude you joined this forum almost 1 year back and posted so many post,
aren't you aware of using spoilers :

Anyway.....

Its really a simple question and become easiest as you have given open answer.

According to statement 1, AD = 20.
It doesn't reveal any information regarding the length of BC and CD. So, statement 1 is not sufficient at all.

According to statement 2, AB = CD.
There is neither any relation provided nor it can be derived by any means of BC with either AB or CD or AD or AC or BD.

So, statement (2) is not sufficient to derive the answer.

So choices (A), (B) and (D) are not the answers.

Now lets take both the statements together.

AD = 20 and AB = CD.

AB + BC + CD = 20 (because AD = 20)
2CD + BC = 20 (because AB = CD)

On checking the above equation, we can have multiple values of CD and BC, which results either CD > BC or CD < BC.

So, both statements togther also unable to derive the answer.

Hence, choice (E) is the correct answer.

Esteemed fellow student,
Thank you for the help. I understand and am appreciative. No, I do not know what a spoiler is. The time I started here is out of scope to the matter at hand. Let's please keep to only the math topic at hand.

Please try to use spoilers to hide answers. It helps us a lot. Because once you know the correct answer, its quite easy to analyze the problem and one can easily find the solution.

So it ruins our preparation and we can never come to know our real improved strength.

Here is the link that shows how to use spoilers.
www.beatthegmat.com/new-spoilers-t5302.html

Thanks if you can follow the procedure.