Question on Modulus

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Question on Modulus

by f2001290 » Fri Jun 15, 2007 6:55 am
If xyz ≠ 0, is x (y + z) = 0?
(1) ¦y + z¦ = ¦y¦ + ¦z¦
(2) ¦x + y¦ = ¦x¦ + ¦y¦

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Re: Question on Modulus

by jayhawk2001 » Fri Jun 15, 2007 10:25 am
f2001290 wrote:If xyz ≠ 0, is x (y + z) = 0?
(1) ¦y + z¦ = ¦y¦ + ¦z¦
(2) ¦x + y¦ = ¦x¦ + ¦y¦
Is it A ?

1 - y and z are either both positive or both negative. In anycase, y+z not
equal to zero and we already know x not eq 0. So, product cannot be
equal to zero. Sufficient.

2 - no idea about the value of z. if z = -y, then we could get 0.

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by f2001290 » Fri Jun 15, 2007 10:32 am
Even i went with A. But the OA says, its D.

I am confident that OA is wrong.