If a, b, and c are positive numbers, is a < b < c? : GMAT Data Sufficiency (DS)
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# If a, b, and c are positive numbers, is a < b < c?

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Manager
Joined: 29 Nov 2011
Posts: 81
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Kudos [?]: 284 [0], given: 37

If a, b, and c are positive numbers, is a < b < c? [#permalink]

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13 Apr 2012, 21:21
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Difficulty:

25% (medium)

Question Stats:

59% (01:39) correct 41% (00:56) wrong based on 73 sessions

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

(1) ab = bc
(2) ac = bc
[Reveal] Spoiler: OA
Senior Manager
Joined: 12 Mar 2012
Posts: 369
Concentration: Operations, Strategy
Followers: 2

Kudos [?]: 169 [0], given: 31

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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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Kudos [?]: 93464 [0], given: 10563

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14 Apr 2012, 00:45
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.

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Re: Arithmetic   [#permalink] 14 Apr 2012, 00:45
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