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

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Director
Joined: 09 Aug 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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24 Feb 2007, 04:32
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7.
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
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24 Feb 2007, 05:04
I will go with C.

If not D, then not A. If D has not occured, we can trace it all the way back to A not occuring.

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Director
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Schools: Stanford, Chicago Booth, Babson College

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24 Feb 2007, 07:31
hsampath wrote:
I will go with C.

If not D, then not A. If D has not occured, we can trace it all the way back to A not occuring.

One more C for the same reason.

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Director
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24 Feb 2007, 11:50
elementary watson
(C)
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"Education is what remains when one has forgotten everything he learned in school."

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Senior Manager
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24 Feb 2007, 11:59
C

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Manager
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24 Feb 2007, 12:43
Yes, C

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Director
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25 Feb 2007, 07:15
Hi Guys..
Thanks for u r reponses.
The OA is indeed C But, I argue why not B ? It is clearly said in the question statement tht "if B then C" that is C is there coz of B hence if there is no B then no C.

can any one please enlighten ?

Thanks

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Director
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25 Feb 2007, 14:00
If A, then B.
If B, then C.
If C, then D.

Then if A then D

Contrapositive of this is also true:
if Not D then Not A

Deductive logic is fun and much more interesting than inductive logic. But most GMAT prep books do not address deductive logic . Some LSAT books do.
Alternatively, You can borrow the Copi-Cohen's book from local library and spend a weekend over it. I'm sure you will significantly improve your reasoning ability.
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Manager
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25 Feb 2007, 19:07

If not A then not B
If not B then not C
If not C then not D.

Therefore, if not A then not D is true.

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Director
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25 Feb 2007, 20:32
rdg wrote:

If not A then not B
If not B then not C
If not C then not D.

Therefore, if not A then not D is true.

If A then B is given , you CAN NOT conclude
If Not A then not B.

I'll recommend Copi-Cohen's book to you also.
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Manager
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25 Feb 2007, 21:28
Swagatalakshmi wrote:
rdg wrote:

If not A then not B
If not B then not C
If not C then not D.

Therefore, if not A then not D is true.

If A then B is given , you CAN NOT conclude
If Not A then not B.

I'll recommend Copi-Cohen's book to you also.

Thanks Swagatalakshmi.

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28 Feb 2007, 04:34
Amit05 wrote:
Hi Guys..
Thanks for u r reponses.
The OA is indeed C But, I argue why not B ? It is clearly said in the question statement tht "if B then C" that is C is there coz of B hence if there is no B then no C.

can any one please enlighten ?

Thanks

It's not B because it says if B then C and not if B then only C. C may be because of lets say X.

If not C then not B would have been correct.

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28 Feb 2007, 04:34
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