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2 Veritas Problems

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Source: — Data Sufficiency |
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by cans » Tue Sep 13, 2011 10:27 am
1) a=0???
a) a=a^2. a=0,1 Insufficient
b) a = a^3 - a^2 -> a(a^2-a-1)=0. a^2-a-1 is quadratic with discriminant >0, thus it has two roots (irrational) Thus not sufficient.
a&b) a=1 doesn't satisfy b. so only option left is a=0. Sufficient
IMO C
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by cans » Tue Sep 13, 2011 10:29 am
Is ab < a?
(1) a = 0
(2) b = 0
ab<a???
a) a=0. ab=0 and a=0, ab=a. Sufficient.
b) b=0, ab=0, we don't know whether a>0, insufficient
IMO A
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