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Statement 1) Sure, we know that if 0 < b < 1, then a has to be a fraction (or decimal), like b = 1/4 so A = 1/2 OR -1/2. In the case where a = -1/2, it is not between 0 and 1. INSUFFICIENT.
Statement 2) Tells us the same thing as Statement 1 but in a different way. Insufficient.
Together) Insufficient becuase we're told the same thing with each statement but in different ways. No information we are given tells us if A must be positive or negative.
sachinn wrote:
If a^2 = b, is the value of a between 0 and 1.
1) b is between 0 and 1. 2) a> b
_________________
------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.
I wasn't thinking about b being positive (essentially b = |a|^2, so the answer will never be negative) and if a > b then we know a must be positive. In an indirect way, it tells us that a is indeed positive.
Nice catch fresinha. +1
fresinha12 wrote:
sachinn wrote:
If a^2 = b, is the value of a between 0 and 1.
1) b is between 0 and 1. 2) a> b
a^2=+ ..so B is positive..
OK..now if a>b...then sqrt(b)=a..
here we know that sqrt(b) is positive..thus a has to be positive..therefore sufficient
B it is..
_________________
------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.
1) alone is NOT Sufficient. Same reason as in my last message.
2) alone is sufficient. Because a^2 = b, so b > 0 (also because a > b, b should be be 0) as b > 0, and a > b, then a > 0 a > b = a^2 a > a^2 so a must be less than 1 combine all, 0 < a < 1