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If A, then B. If B, then C. If C, then D. If all of the

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If A, then B. If B, then C. If C, then D. If all of the [#permalink] New post 31 Aug 2005, 08:17
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A
B
C
D
E

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If A, then B.
If B, then C.
If C, then D.
If all of the statements above are true, which of the following must also be true?

(A) If D, then A.
(B) If not B, then not C.
(C) If not D, then not A.
(D) If D, then E.
(E) If not A, then not D.
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 [#permalink] New post 31 Aug 2005, 08:45
both B and E are looking good to me.

i will go for B (the closest one)
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 [#permalink] New post 31 Aug 2005, 09:06
B,

if B then C is the same as if not B then not C
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 [#permalink] New post 31 Aug 2005, 09:07
C it is
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 [#permalink] New post 31 Aug 2005, 09:49
i think B is closest.
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 [#permalink] New post 31 Aug 2005, 10:01
"C"
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 [#permalink] New post 31 Aug 2005, 10:13
It is C.

A -> B
B -> C
C -> D

THerefore by transitive property If A, then D (A -> D)

Its contrapositive is if not D, then not A (~D -> ~A)
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 [#permalink] New post 31 Aug 2005, 10:41
nice explanations husker,

wew.., ywilfred, simple one looks tougher, atleast for me. :-)
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 [#permalink] New post 01 Sep 2005, 01:21
huskers is saying

A -> B
B -> C
C -> D

THerefore by transitive property If A, then D (A -> D)

Its contrapositive is if not D, then not A (~D -> ~A)
---------------------------------------------------------

I don't understand this solution.

There's no connection between A and D.
And what's transivitive property?
What's the logic.

Can the 3 lines above be written as
A->B->C->D
Then it's quite obvious that A->D
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 [#permalink] New post 01 Sep 2005, 01:26
It is C.

The argument says A is a subset of B, B a subset of C and so on. If you were to draw a Venn diagram, it is apparent that it shud be C.

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 [#permalink] New post 01 Sep 2005, 03:02
ahh, i see, thanks qandy for explaining.
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 [#permalink] New post 01 Sep 2005, 07:49
Yes, OA is C.
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 [#permalink] New post 01 Sep 2005, 07:50
naattamai wrote:
nice explanations husker,

wew.., ywilfred, simple one looks tougher, atleast for me. :-)


HI Naatamai, welcome to the GMAT club! Do not worry if this one feels tough, in a few weeks time, you will think it's simple too! When I saw this question, I got a feeling I just got to post it. It's the basics of most logic CR questions. You can read more on those by reading Honghu's sitcky on logic CRs in this forum.
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 [#permalink] New post 01 Sep 2005, 14:38
Thanks for the directions ywilfred.
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 [#permalink] New post 01 Sep 2005, 19:27
Answer is C... simple logic!
  [#permalink] 01 Sep 2005, 19:27
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