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If (a – b)c < 0, which of the following cannot be true?

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by outreach » Mon Mar 01, 2010 4:41 am
i was trying to sub numbers and check. D seems to be OA for me

in each of the case i am checking out options which satisfy each options and also (a - b)c < 0
A)
a=1
b=2
c=2

B)

a=2
b=1
c=-1

C)
a=2
b=1
c=-1/2


D)
which numbers satisfy this cond


E)
a=2
b=1
c=-1
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by sunil_snath » Mon Mar 01, 2010 6:23 am
D for me as well. Whats the OA Bhumika? I usually make mistakes in these Q's

(a-b)c < 0

2 options:

(a-b) > 0 && c<0 - I
(a-b) < 0 && c>0 - II

A. From II, a<b
B. From I, c<0
C. |c| < 1. can be proved easily
D. From the original equation, ac - bc < 0, so ac<bc - Bingo
E. To prove (a-b)(a+b) > 0. We know from I that (a-b)>0, so in that case, (a+b)>0
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by analyst218 » Mon Mar 01, 2010 4:28 pm
D.
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by bhumika.k.shah » Mon Mar 01, 2010 10:37 pm
OA D
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