Is A^5 * b^2 * C^3 > 0 (1) B*C *LT 0 (2) A*C *GT 0 : DS Archive
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# Is A^5 * b^2 * C^3 > 0 (1) B*C *LT 0 (2) A*C *GT 0

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Is A^5 * b^2 * C^3 > 0 (1) B*C *LT 0 (2) A*C *GT 0 [#permalink]

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21 May 2007, 02:19
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Is A^5 * b^2 * C^3 > 0

(1) B*C *LT 0
(2) A*C *GT 0

*Edited

Last edited by Juaz on 21 May 2007, 11:40, edited 1 time in total.
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21 May 2007, 12:50
A^5*B^2*C^3 > 0

this is a classic +,- question.

the only way for this to be true is when [A- and C-] or [ A+ and C+]

since B^2 will always be positive.

statement 1

B*C = less then 0

the only way for that to be true is when B is negative and C is positive or the other way around (B-,C+ or B+,C-)

insufficient

statement 2

A*C = greater then 0

the only way for this to be true is when A is negative and C is negative or the other way around (A-,C- or A+,C+)

we know nothing about B but we don't care since B^2 will always be positive.

since (A-,C- or A+,C+)

A^5*B^2*C^3 > 0 will always be true.

sufficient

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21 May 2007, 18:30
juaz,
you make a good point, *what if B = 0*
In this case, I would have to go with C, what do you guys think?
cheers
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21 May 2007, 20:12
Juaz wrote:
Is A^5 * b^2 * C^3 > 0

(1) B*C *LT 0
(2) A*C *GT 0

*Edited

saurster wrote:
juaz,
you make a good point, *what if B = 0*
In this case, I would have to go with C, what do you guys think?
cheers

A^5*B^2*C^3 > 0 only if A & C have the same sign and B is different from 0.

It should be (C)
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21 May 2007, 21:45
Juaz wrote:

How about if B is '0'?

Yes ! you are right the answer should be (C)

21 May 2007, 21:45
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