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If the quotient a/b positive, which of the following must be [#permalink]
03 Sep 2012, 05:49
Question Stats:
89% (01:25) correct
10% (00:37) wrong based on 10 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf the quotient a/b positive, which of the following must be true? (A) a > 0 (B) b > 0 (C) ab > 0 (D) a-b > 0 (E) a+b > 0 Practice Questions Question: 32 Page: 156 Difficulty: 550 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: If the quotient a/b positive, which of the following must be [#permalink]
03 Sep 2012, 06:10
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a and be must have the same sign. Either both are positive or both are negative.
When multiplying a*b, the result will therefore be positive.
Answer C.
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Re: If the quotient a/b positive, which of the following must be [#permalink]
05 Sep 2012, 07:14
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I think the best approach in such questions is to plug in numbers Since the question asks about must be true then any numbers should qualify, if a/b is positive then a and b have the same sign so a*b must be positive. (C)
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Re: If the quotient a/b positive, which of the following must be [#permalink]
05 Sep 2012, 19:55
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a/b implies a and b have the same sign.
a<0 AND b<0
or
a>0 AND b>0
A. a>0 does not have to be true, a can be negative B. b>0 does not have to be true, b can be negative C. ab>0, has to be true since a AND b have the same sign D. a-b>0 does not have to be true since a AND b can be negative and the result of a-b can be negative E. a+b>0 does not have to be true since a AND b can be negative and the result of a+b can be negative
Answer: C.
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GMAT Club team member
Joined: 02 Sep 2009
Posts: 11506
Followers: 1791
Kudos [?]:
9526
[0], given: 826
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Re: If the quotient a/b positive, which of the following must be [#permalink]
03 Sep 2012, 05:49
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GMAT Club team member
Joined: 02 Sep 2009
Posts: 11506
Followers: 1791
Kudos [?]:
9526
[0], given: 826
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Re: If the quotient a/b positive, which of the following must be [#permalink]
07 Sep 2012, 03:14
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Re: If the quotient a/b positive, which of the following must be
[#permalink]
07 Sep 2012, 03:14
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