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Updated on: 17 Jul 2018, 20:46
Originally posted by GMATBusters on 17 Jul 2018, 09:33.
Last edited by Bunuel on 17 Jul 2018, 20:46, edited 1 time in total.
Last edited by Bunuel on 17 Jul 2018, 20:46, edited 1 time in total.
Renamed the topic and edited the question.
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D
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Difficulty:
95%
(hard)
Question Stats:
46% (02:16) correct
54%
(02:20)
wrong
based on 271
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If \(a-b > \sqrt{(b+c-a)^2}\) which of the following must be true?
A. a>0
B. a<b
C. b=0
D. c>0
E. c<0
A. a>0
B. a<b
C. b=0
D. c>0
E. c<0
17 Jul 2018, 12:09
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D.
a-b > sq. root[(b+c-a)^2 ]
sq. root[(b+c-a)^2 ] = sq. root[(-(b+c-a))^2 ] =sq. root[(a-b-c)^2 ]
Since, a-b > sq. root[(a-b-c)^2 ]
a-b-c should be less than a-b
So c must be positive.
Don't know whether it is right.
a-b > sq. root[(b+c-a)^2 ]
sq. root[(b+c-a)^2 ] = sq. root[(-(b+c-a))^2 ] =sq. root[(a-b-c)^2 ]
Since, a-b > sq. root[(a-b-c)^2 ]
a-b-c should be less than a-b
So c must be positive.
Don't know whether it is right.
