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Senior Manager
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If (a-b)/c<0, is a>b? [#permalink]
16 Mar 2013, 22:15
Question Stats:
75% (01:49) correct
25% (01:17) wrong based on 32 sessions
If (a-b)/c<0, is a>b? (1) c < 0 (2) a + b < 0
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Last edited by Bunuel on 17 Mar 2013, 01:37, edited 1 time in total.
Renamed the topic and edited the question.
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Senior Manager
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(a-b)/c <0 => c(a-b)/c^2 < 0 => ac -bc <0 => ac<bc Statement (1) : Tells the sign of (C) means sufficient. Statement (2) : a+b < 0 => a < -b a b a<-b Is a>b?+ + Not Poss N/A- - Yes No- + Yes No+ - Yes NoWhy the answer is not (D). Please tell what I am missing above Rgds, TGC
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Re: If (a-b)/c<0, is a>b? [#permalink]
17 Mar 2013, 01:46
Before cross multiplying or multiplying numerator and denominator by c you should keep in mind that c should not be equal to 0 So which statement proves c won't be 0 (1) c < 0 This statement implies that c is not equal to 0 (2) a + b < 0 You aren't sure whether c would be 0 or not. Hence, the answer should be A
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Re: If (a-b)/c<0, is a>b? [#permalink]
17 Mar 2013, 01:53
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Senior Manager
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Re: If (a-b)/c<0, is a>b? [#permalink]
17 Mar 2013, 07:14
Bunuel wrote: If (a-b)/c<0, is a>b?
(1) c < 0. Multiply (a-b)/c<0 by negative c and flip the sign a-b>0 --> a>b. Sufficient.
(2) a + b < 0. The sum of two numbers is less than zero. Can we tell which of them is greater? (Can we tell whether a>b or a<b?) No, consider a=1, b=-2 and c=-1 AND a=-2, b=1 and c=1. Not sufficient.
Answer: A. What is wrong in the solution that I gave? Rgds, TGC
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targetgmatchotu wrote: (a-b)/c <0
=> c(a-b)/c^2 < 0 => ac -bc <0 => ac<bc
Statement (1) : Tells the sign of (C) means sufficient.
Statement (2) : a+b < 0
=> a < -b
a b a<-b Is a>b? + + Not Poss N/A - - Yes No - + Yes No + - Yes No
Why the answer is not (D).
Please tell what I am missing above
Rgds, TGC Consider one of the cases in your approach above: if both a and b are negative, it's possible that a>b as well as a<b. For example, a=-1, b=-2, and c=-1 AND a=-2, b=-1, and c=1. Hope it helps.
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Senior Manager
Joined: 03 Aug 2012
Posts: 323
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GPA: 3.7
Followers: 2
Kudos [?]:
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Bunuel wrote: targetgmatchotu wrote: (a-b)/c <0
=> c(a-b)/c^2 < 0 => ac -bc <0 => ac<bc
Statement (1) : Tells the sign of (C) means sufficient.
Statement (2) : a+b < 0
=> a < -b
a b a<-b Is a>b? + + Not Poss N/A - - Yes No - + Yes No + - Yes No
Why the answer is not (D).
Please tell what I am missing above
Rgds, TGC Consider one of the cases in your approach above: if both a and b are negative, it's possible that a>b as well as a<b. For example, a=-1, b=-2, and c=-1 AND a=-2, b=-1, and c=1. Hope it helps. Why to take c variable in picture . Given that a<-b I think appropriate would be a = -1 b = -2 (here a>b still holding a<-b) a = -2 b = -1 (here a <b still holding a<-b) Hence,wrong
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targetgmatchotu wrote: Bunuel wrote: targetgmatchotu wrote: (a-b)/c <0
=> c(a-b)/c^2 < 0 => ac -bc <0 => ac<bc
Statement (1) : Tells the sign of (C) means sufficient.
Statement (2) : a+b < 0
=> a < -b
a b a<-b Is a>b? + + Not Poss N/A - - Yes No - + Yes No + - Yes No
Why the answer is not (D).
Please tell what I am missing above
Rgds, TGC Consider one of the cases in your approach above: if both a and b are negative, it's possible that a>b as well as a<b. For example, a=-1, b=-2, and c=-1 AND a=-2, b=-1, and c=1. Hope it helps. Why to take c variable in picture . Given that a<-b I think appropriate would be a = -1 b = -2 (here a>b still holding a<-b) a = -2 b = -1 (here a <b still holding a<-b) Hence,wrong Hi TGC good to see you back on the forums..........people gather courage from life's storms. I think the process you suggested is correct and has got no flaws in it....its concise...i do not find any use of third variable here. Archit
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