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CR - If Then Logic

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CR - If Then Logic [#permalink] New post 30 Nov 2006, 19:28
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Can you please expalin your responses?

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 30 Nov 2006, 21:17
You have:

A -> B -> C -> D; that is, A -> D.

From logic rules, the latter is equivalent to ~D -> ~A (~=NOT).

Therefore, the answer is C.
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 [#permalink] New post 30 Nov 2006, 21:31
C !
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 [#permalink] New post 01 Dec 2006, 06:45
agree C..I also posted this Q some time back....
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 [#permalink] New post 01 Dec 2006, 08:49
C 2
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 [#permalink] New post 01 Dec 2006, 13:21
C guys.
  [#permalink] 01 Dec 2006, 13:21
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