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

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


My answer is A

(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.
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 [#permalink] New post 29 Nov 2005, 00:52
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
  [#permalink] 29 Nov 2005, 00:52
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If ab < ac, which is greater b or c? 1) a < 0 2) c

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