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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]

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31 May 2006, 06:47
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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.

I am unable to decide between A and C.. OA later..
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31 May 2006, 08:16
I pick C.

it says

A -> D by transitivity

so if not D then not A holds.
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31 May 2006, 09:23
First of all I don't think you will encounter these questions in real exam. (If yes then its very rare).

But if you have time then you can go through this thread:
http://www.gmatclub.com/phpbb/viewtopic.php?t=14547

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31 May 2006, 18:28
Yes agree with C.
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31 May 2006, 21:07
If A --> B, then !B --> !A
If B --> C, then !C --> !B
If C --> D, then !D --> !C

Only C is true. The rest cannot be derived from the relationship given above.

(!D --> !C --> !B ---> !A, so !D --> !A)
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01 Jun 2006, 08:38
C is good.
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01 Jun 2006, 09:15
ps_dahiya wrote:
First of all I don't think you will encounter these questions in real exam. (If yes then its very rare).

But if you have time then you can go through this thread:
http://www.gmatclub.com/phpbb/viewtopic.php?t=14547

Thanks for the link.. yup the OA is C..
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02 Jun 2006, 16:58
Its clearly C
02 Jun 2006, 16:58
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