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# If A, then B. If B, then C. If C, then D. If all of the

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VP
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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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14 Jan 2008, 21:59
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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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Manager
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Re: cr - logic [#permalink]

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15 Jan 2008, 09:24
B?
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Re: cr - logic [#permalink]

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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]

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17 Jan 2008, 00:18
IMO, B

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Re: cr - logic [#permalink]

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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]

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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]

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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]

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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]

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17 Jan 2008, 08:58
I used the same logic to get to C.
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Re: cr - logic [#permalink]

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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]

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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]

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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]

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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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# If A, then B. If B, then C. If C, then D. If all of the

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