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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 14 Jan 2008, 21:59
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B
C
D
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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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Re: cr - logic [#permalink] New post 15 Jan 2008, 09:24
B?
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Re: cr - logic [#permalink] New post 17 Jan 2008, 00:13
I have got 2 answers .
Option B and option E.

They both are similar.
Is the Option D stated correctly (about reference for E)?
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Re: cr - logic [#permalink] New post 17 Jan 2008, 00:18
IMO, B

:-D
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Re: cr - logic [#permalink] New post 17 Jan 2008, 00:27
marcodonzelli wrote:
If A, then B.
If B, then C.
If C, then D.

if A, then D and one must be also true is if not D, then not A.
So C


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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Re: cr - logic [#permalink] New post 17 Jan 2008, 05:35
sondenso wrote:
marcodonzelli wrote:
If A, then B.
If B, then C.
If C, then D.

if A, then D and one must be also true is if not D, then not A.
So C


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.


good job man, OA is C.
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Re: cr - logic [#permalink] New post 17 Jan 2008, 05:52
why not B? plzz explain and also tell some tips to solve these kind of qstions...
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Re: cr - logic [#permalink] New post 17 Jan 2008, 08:50
IF X then Y -- also implies --> If NOT Y then NOT X

working backwards,

If NOT D, then NOT C,
IF NOT C then NOT B, and finally
If NOT B, then NOT A

so NOT D leads to NOT A
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Re: cr - logic [#permalink] New post 17 Jan 2008, 08:58
I used the same logic to get to C.
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Re: cr - logic [#permalink] New post 17 Jan 2008, 09:23
srp wrote:
IF X then Y -- also implies --> If NOT Y then NOT X

working backwards,

If NOT D, then NOT C,
IF NOT C then NOT B, and finally
If NOT B, then NOT A

so NOT D leads to NOT A


Nice explanation!
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Re: cr - logic [#permalink] New post 17 Jan 2008, 09:39
think logically.

from the statements you get:

A -> D by transitive property


so if we know D did not happen from choice C, then A could not have happened because A causes D so Ans C: If not D, then Not A
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Re: cr - logic [#permalink] New post 18 Jan 2008, 19:46
so if we know D did not happen from choice C, then A could not have happened because A causes D so Ans C: If not D, then Not A

How about B? It should be correct as well, if I work on the same logic.
Could you please explian the flaw in B?

Thank you. :)
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Re: cr - logic [#permalink] New post 20 Jan 2008, 02:32
GHIBI wrote:
so if we know D did not happen from choice C, then A could not have happened because A causes D so Ans C: If not D, then Not A

How about B? It should be correct as well, if I work on the same logic.
Could you please explian the flaw in B?

Thank you. :)


B says, If NOT B then NOT C - which is not correct

We have "If B then C" which is NOT the same as "IF NOT B then NOT C"
Re: cr - logic   [#permalink] 20 Jan 2008, 02:32
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