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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: 03 Sep 2005
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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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08 Sep 2005, 20:24
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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.

Explanations anyone? OA to come...

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Manager
Joined: 28 Jan 2004
Posts: 198

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09 Sep 2005, 00:33
I think this should help.

http://www.gmatclub.com/phpbb/viewtopic ... ighlight=b
_________________

It's not over until it's OVER!

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Manager
Joined: 03 Sep 2005
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09 Sep 2005, 02:01
I still don't get it. Venn diagram? Transitive property? I know what both are, but how do I apply it to the question? Please help!

kwasi7 wrote:

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Senior Manager
Joined: 27 Aug 2005
Posts: 331

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09 Sep 2005, 06:31
I like to look at problems like this by adding words or examples that are true to make it clearer.

For example, in this case:

If someone is a direct marketer (A), then they are in advertising (B)
If someone is in advertising (B), then they are in marketing (C)
If someone is in marketing (C), then they are in business (D)

Then look at the answer choices and think about which is logically true:

(A) If someone is in business, then they are a direct marketer? No, not necessarily true, they could be in some other kind of business.

(B) If someone is not in advertising, then they are not in marketing? Again, not true. Someone could be in marketing without being in advertising.

(C) If someone is not in business, then they are not in direct marketing. This is true. Direct marketing is a subset of business, so all direct marketers are by definition also in business. C looks like the answer here. Check the others just to make sure.

(D) If someone is in business, then they are... ???. We don't know anything about E from the question stem. This is clearly not the answer.

(E) If someone is not in direct marketing, then they are not in business? Clearly untrue. There are a zillion other types of businesses other than direct marketing.

Hope this helps for people who get confused with this type of problem.

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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5039

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Location: Singapore

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09 Sep 2005, 09:58
trulyblessed wrote:
I still don't get it. Venn diagram? Transitive property? I know what both are, but how do I apply it to the question? Please help!

kwasi7 wrote:

If A, then B.
If B, then C.
If C, then D.

What you need to do is simple to replace the cause and effect relationship with an arrow.

So,

If A, then B (A -> B)
If you reverse the property, it will read as If Not B, then Not A (!B-> !A)

The same applies for the other two statements.

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SVP
Joined: 28 May 2005
Posts: 1704

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Location: Dhaka

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09 Sep 2005, 11:40
The answer is C......beyond any doubt.
_________________

hey ya......

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Senior Manager
Joined: 06 Apr 2005
Posts: 349

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Location: USA

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09 Sep 2005, 15:32
I couldn't have explained it better than Coffeeloverfreak's explanation. That explanation rocks!! The answer is C indeed. If logical CRs stump you, look no further than the logic pdf document.

Refer to Honghu's excellent explanations in the following link -http://www.gmatclub.com/phpbb/viewtopic.php?t=14547

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Senior Manager
Joined: 27 Aug 2005
Posts: 331

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09 Sep 2005, 18:38
I couldn't have explained it better than Coffeeloverfreak's explanation. That explanation rocks!!

Aww, thanks!
Now if only I could convert that praise into a decent GMAT score...
(<-- having data sufficiency nightmares...)

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09 Sep 2005, 18:38
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