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# Carol is shorter than Juan, but she is taller than Ed. Sandr

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Carol is shorter than Juan, but she is taller than Ed. Sandr [#permalink]  16 Feb 2019, 03:53
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Question Stats:

50% (01:41) correct 50% (04:57) wrong based on 6 sessions
Carol is shorter than Juan, but she is taller than Ed. Sandra is shorter than Juan, and she is shorter than Ed. Wallie is taller than Sandra, but shorter than Juan.

If the statements above are true, one can validly conclude that Bill is shorter than Carol if it is true that

(A) Carol is equal in height to Wallie
(B) Wallie is equal in height to Bill
(C) Bill is taller than Sandra, but shorter than Wallie
(D) Bill is shorter than Juan, but taller than Ed
(E) Wallie is taller than Bill, but shorter than Ed
[Reveal] Spoiler: OA

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Re: Carol is shorter than Juan, but she is taller than Ed. Sandr [#permalink]  22 Feb 2019, 22:26
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Let's order these people from shortest to tallest. First, "Carol is shorter than Juan, but she is taller than Ed" so:

Ed, Carol, Juan

"Sandra is shorter than Juan, and she is shorter than Ed," well Ed is already the shortest, so Sandra is our new shortest:

Sandra, Ed, Carol, Juan

"Wallie is taller than Sandra, but shorter than Juan." Wallie, then, can go in any position that is not first or last. We want to know if another person, Bill, is shorter than Carol.

(A) This choice says nothing about Bill, so Bill could be any height in the world.

(B) Wallie can be shorter or taller than Carol. So if Bill = Wallie, then we don't know if he's taller than Carol or not.

(C) Being taller than Sandra isn't saying much. And since Wallie can be shorter or taller than Carol, Bill could also be shorter or taller than Carol.

(D) Being shorter than Juan isn't very helpful. Bill could be taller than Ed but shorter than Carol, or Bill could be taller than Carol and shorter than Juan. We'll never know.

(E) If Wallie is shorter than Ed, then Wallie is shorter than Carol. If Bill is shorter than Wallie, then he is definitely shorter than Carol.
Re: Carol is shorter than Juan, but she is taller than Ed. Sandr   [#permalink] 22 Feb 2019, 22:26
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