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

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in the figure above, is CD > BC ?
(1) AD = 20
(2) AB = CD
Official Answer

2 Answers

Let AB = x, BC = y, CD = z
question is - is z>y?
(1) AD is 20 i.e. x+y+z=20 Not sufficient
(2) AB=CD i.e. x=z Not sufficient
(1) and (2) 2x+y=20 Again not sufficient
Hence, E
answered Jul 1, 2017 by Beginner (1 point)
Ritwik Dey
Let us pick the statement 1 AD= 20, but it does not tell us anything about AB or CD.
Let us pick statement 2, AB = CD in this case all it tells is the segment are equal but that does give anything about BC. we can have a case where AB=CD= 3 and BC = 4
Even if we combine them we cannot conclude that BC < CD because we can have the following case
AB=CD =5 & BC = 10 or  AB=CD=8 & BC=4
Hence E
answered Nov 20, 2015 by Beginner (23 points)
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