English Logic : GMAT Verbal Section
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# English Logic

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Joined: 20 Sep 2008
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20 Sep 2008, 22:28
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 have chosen E however, the right answer is C? i would appreciate it if someone could help to clarify it?
If you have any questions
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21 Sep 2008, 00:50
A - A => D, but not D => A
B - B => C, but not ~B => ~C
D - there is no E in the context
E - A => D, but not ~A => ~D

C - D can come only if C comes. So, ~D => ~C => ~B => ~A.

My choice - C.
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21 Sep 2008, 13:10
jugolo1 wrote:
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 have chosen E however, the right answer is C? i would appreciate it if someone could help to clarify it?

A -> B and contrapositive is ~B -> ~A

B->C ~C -> ~B

C -> D ~D -> ~C

Apply transitivity on all the contrapositives and you will arrive at C
Re: English Logic   [#permalink] 21 Sep 2008, 13:10
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