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

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Manager
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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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New post 15 Feb 2009, 21:07
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A
B
C
D
E

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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 Question. [#permalink]

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New post 15 Feb 2009, 21:29
IMO B

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Re: CR Question. [#permalink]

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New post 16 Feb 2009, 04:13
my answer is C.

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Re: CR Question. [#permalink]

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New post 16 Feb 2009, 08:51
Hi:

The OA is C. Could someone explain why it is "C" and not any other response.

Thanks,

Chalven

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Re: CR Question. [#permalink]

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New post 16 Feb 2009, 09:00
chalven wrote:
Hi:

The OA is C. Could someone explain why it is "C" and not any other response.

Thanks,

Chalven


D is the contra positive of the original statement. If I cut the explanation short,

If A -> D, then the correct answer choice can be either A-->D or NotD-->NotA. Every other inference is incorrect

Cheers,
Unplugged

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New post 16 Feb 2009, 11:08
D is the contra positive of the original statement. If I cut the explanation short,

If A -> D, then the correct answer choice can be either A-->D or NotD-->NotA. Every other inference is incorrect

Cheers,
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Then, How about answer choice "E?" Why is it wrong? Could you be a little more detail.

Thank you, Chalven.

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Re: CR Question. [#permalink]

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New post 16 Feb 2009, 13:00
Great help for logic:

viewtopic.php?t=14547

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Re: CR Question. [#permalink]

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New post 17 Feb 2009, 01:56
The statements above says that if A then D. But if not A then D can still happen. For example, C=Not A -> D happens.

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Re: CR Question. [#permalink]

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New post 17 Feb 2009, 09:06
chalven wrote:
D is the contra positive of the original statement. If I cut the explanation short,

If A -> D, then the correct answer choice can be either A-->D or NotD-->NotA. Every other inference is incorrect

Cheers,
Unplugged


Then, How about answer choice "E?" Why is it wrong? Could you be a little more detail.

Thank you, Chalven.


E is mistaken negation. Hence wrong

Cheers,
Unplugged

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Re: CR Question. [#permalink]

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New post 31 Jul 2009, 11:14
For this question , I came up with substitution.


if it moves itself with 4 wheels then it is car
if car then it is vehicle
if vehicle it is man-made


A -> anything that moves itsef with 4 wheels
B -> Car
C-> engine
D -> man-made


Option A: If man-made (D) then it moves itself with 4 wheels (A) - False. There are many many man-made items that doesn't move with 4 wheels ex. Table
option B: if not a car then not an engine - False. If it is not car it can be anything else ex. chair
option C: if engine(C) then it is man-made (D)- true
option D: If man-made (d) then E - False - No E in the question
option E: If it doesn't move by itself(A) then not man-made (D) - False.There are many many man-made items that doesn't move with 4 wheels ex. Table


So clearly C is the best ans

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Re: CR Question.   [#permalink] 31 Jul 2009, 11:14
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If A, then B. If B, then C. If C, then D. If all of the

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