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If a, b, and c are positive numbers, is a < b < c?

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If a, b, and c are positive numbers, is a < b < c? [#permalink] New post 13 Apr 2012, 21:21
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A
B
C
D
E

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  35% (medium)

Question Stats:

60% (01:38) correct 40% (00:58) wrong based on 55 sessions
If a, b, and c are positive numbers, is a < b < c?

(1) ab = bc
(2) ac = bc
[Reveal] Spoiler: OA
Senior Manager
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Concentration: Operations, Strategy
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Re: Arithmetic [#permalink] New post 13 Apr 2012, 23:14
Smita04 wrote:
If a, b, and c are positive numbers, is a < b < c?

(1) ab = bc
(2) ac = bc


statement 1:

b(a-c)=0
i.e. either b=0 or a=c

given b>0
hence a=c

=> a IS NOT LESS THAN c.
sufficient

statement 2:

similarly by above reasoning a=b
so NO
hence SUfficient

hence D

HOPE THIS HELPS...!!
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Re: Arithmetic [#permalink] New post 14 Apr 2012, 00:45
Expert's post
If a, b, and c are positive numbers, is a < b < c?

(1) ab = bc --> since b>0 we can reduce given equation by b and we'll get a = c, so a < b < c is not true. Sufficient.
(2) ac = bc --> since c>0 we can reduce given equation by c and we'll get a = b, so a < b < c is not true. Sufficient.

Answer: D.
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Re: Arithmetic   [#permalink] 14 Apr 2012, 00:45
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If a, b, and c are positive numbers, is a < b < c?

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