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# CR - If Then Logic

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Director
Joined: 06 Sep 2006
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CR - If Then Logic [#permalink]

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30 Nov 2006, 19:28
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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.
Senior Manager
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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).

Intern
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30 Nov 2006, 21:31
C !
Senior Manager
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01 Dec 2006, 06:45
agree C..I also posted this Q some time back....
VP
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01 Dec 2006, 08:49
C 2
Director
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01 Dec 2006, 13:21
C guys.
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