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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
Joined: 21 Jul 2006
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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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15 Feb 2009, 21:07
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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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Director
Joined: 12 Oct 2008
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15 Feb 2009, 21:29
IMO B

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Senior Manager
Joined: 14 Mar 2007
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Location: Hungary

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16 Feb 2009, 04:13

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Manager
Joined: 21 Jul 2006
Posts: 64

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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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Senior Manager
Joined: 26 May 2008
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Schools: Kellogg Class of 2012

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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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Manager
Joined: 21 Jul 2006
Posts: 64

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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,
Unplugged

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

Thank you, Chalven.

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Senior Manager
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16 Feb 2009, 13:00
Great help for logic:

viewtopic.php?t=14547

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Senior Manager
Joined: 14 Mar 2007
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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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Senior Manager
Joined: 26 May 2008
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Kudos [?]: 74 [0], given: 4

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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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Intern
Joined: 30 Jul 2009
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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

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

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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