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# If ab < ac, which is greater b or c? 1) a < 0 2) c

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Director
Joined: 24 Oct 2005
Posts: 660
Location: London
Followers: 1

Kudos [?]: 9 [0], given: 0

If ab < ac, which is greater b or c? 1) a < 0 2) c [#permalink]  28 Nov 2005, 02:27
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If ab < ac, which is greater b or c?
1) a < 0
2) c < 0
Director
Joined: 14 Sep 2005
Posts: 993
Location: South Korea
Followers: 2

Kudos [?]: 49 [0], given: 0

Re: Nice DS from Kaplan [#permalink]  28 Nov 2005, 03:03
remgeo wrote:
If ab < ac, which is greater b or c?
1) a < 0
2) c < 0

From the question, we know abc =/= 0.

If a is negative, b > c
If a is positive, b < c

Statement1) a is negative ==> Sufficient
Statement2) c is negative ==> Insufficient

I pick (A).
_________________

Auge um Auge, Zahn um Zahn !

VP
Joined: 06 Jun 2004
Posts: 1059
Location: CA
Followers: 2

Kudos [?]: 54 [0], given: 0

Re: Nice DS from Kaplan [#permalink]  28 Nov 2005, 20:07
remgeo wrote:
If ab < ac, which is greater b or c?
1) a < 0
2) c < 0

(1) a < 0 ==> b>c. Sufficient
(2) c < 0, there are still two possibilities

Scenario 1...a < 0, b>c.
Scenario 2...a > 0, b<c.

Insufficient.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

ab < ac --> ab - ac < 0 --> a(b-c) < 0

(1) a < 0 -> so b-c must be < 0 so c is greater. sufficient.

(2) c < 0

Try case c is greater than b --> e.g c = -1, b = -2 so b-c = -1 but a could be negative
Try case b is greater than c --> same applies above.
So not sufficient.

Ans: A
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