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# PS - 700 level - abc

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Manager
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PS - 700 level - abc [#permalink]  14 Aug 2011, 09:34
00:00

Question Stats:

14% (00:00) correct 85% (00:39) wrong based on 7 sessions
If abc = b^3, which of the following must be true?

I. ac = b^2

II. b = 0

III. ac = 1

None
I only
II only
I and III
II and III
Senior Manager
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Re: PS - 700 level - abc [#permalink]  14 Aug 2011, 10:09
hmm, I think the answer is None.
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Re: PS - 700 level - abc [#permalink]  14 Aug 2011, 10:21
b= 0 or ac= b^2

But we are looking for must be true conditions.

Manager
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Re: PS - 700 level - abc [#permalink]  11 Sep 2011, 19:01
Guys i am not getting this "Must be a true condition", could you please explain ?
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Re: PS - 700 level - abc [#permalink]  12 Sep 2011, 01:35
The question has a small trap by mentioning 'must be true'

If the question is 'can be true' =>

abc-b^3 = 0
=> b (ac - b^2) =0
So either b = 0 or ac = b^2 or both can be the possible solutions

Since our question is 'must be true', we should find a solution that ALWAYS holds true

but from the above solutions, we cannot confirm that b=0 and ac=b^2 together. So, the answer is NONE
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Re: PS - 700 level - abc   [#permalink] 12 Sep 2011, 01:35
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