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If a,b and c are integers. Is their product a*b*c=0?

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Manager
Joined: 15 Nov 2006
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If a,b and c are integers. Is their product a*b*c=0? [#permalink]  29 Mar 2007, 16:14
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If a,b and c are integers. Is their product a*b*c=0?
a)a^2=2a
b)b/c=[(a+b)^2/(a^2+b^2+2*a*b)]-1
Senior Manager
Joined: 11 Feb 2007
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B.

at least one of the three must equal 0 in order for their product to equal 0.

(1) a can be 2 or 0. INSUFF

(2) (a+b)^2 = (a^2+b^2+2*a*b) so cancel them out.
b/c = 1-1 = 0
therefore b = 0.
SUFF
Director
Joined: 14 Jan 2007
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Statement 1 does not tell anything about B or C . So NOT SUFF

Statement 2 gives b=0 if c not = 0. Suff

Intern
Joined: 06 Mar 2007
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I don't think you can cancel them out because the denominator has -1. So the answer is E
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nasayin wrote:
I don't think you can cancel them out because the denominator has -1. So the answer is E

We can cancel out because the -1 is out of the external brackets. Unless the posted question has some typographical error.
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ywilfred wrote:
nasayin wrote:
I don't think you can cancel them out because the denominator has -1. So the answer is E

We can cancel out because the -1 is out of the external brackets. Unless the posted question has some typographical error.

Oops, you're right. I made the typo when writing the equation out on a piece of paper.
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