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

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Manager
Joined: 09 Jan 2007
Posts: 240
If a, b, and c are positive numbers, is a > b > c ? [#permalink]

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09 Mar 2007, 11:00
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If a, b, and c are positive numbers, is a > b > c ?
(1) a2 > ab
(2) ac > c2
Senior Manager
Joined: 01 Feb 2005
Posts: 271

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09 Mar 2007, 14:43
E is the best answer. It just says a, b, c are positive numbers. The one condition that can answer the problem is selecting values of 1, 1, 1 for all three variables.

You will see the answer is E without any doubt
SVP
Joined: 01 May 2006
Posts: 1796

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09 Mar 2007, 14:46
Agree with (E)

From1
We have no information about c.

INSUFF.

From2
We have no information about b.

INSUFF.

(1) combined with (2)
o a^2> ab
<=> a > b as a > 0

o ac > c^2
<=> a > c as c > 0

But, we cannot say whether b > c, b < c or b = c.

INSUFF.
SVP
Joined: 01 May 2006
Posts: 1796

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09 Mar 2007, 14:49
axl_oz wrote:
E is the best answer. It just says a, b, c are positive numbers. The one condition that can answer the problem is selecting values of 1, 1, 1 for all three variables.

You will see the answer is E without any doubt

If we have a=b=c and all positive, we cannot have a^2 > ab ... As ab=a^2
09 Mar 2007, 14:49
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