Bunuel wrote:
\(a\) and \(b\) are integers. \([x]\) is an integer less than or equal to \(x\). Is \([\frac{a}{b}] \geq {1}\)?
(1) \(ab = 64\)
(2) \(a=b^2\)
Harshgmat Yes the question is a bit confusing because we have been dealing with such questions with a bit different wordings.
Had it been \([x]\) is the GREATEST integer less than or equal to \(x\), the answer would be YES. Because a/B would be 4 and thus >1.
However here GREATEST is missing, so the value could be anything but not greater than a/B..
So if a/b=4, [a/b] can be 4,3,2,1,0,-1,-2.....
So it could be any integer as shown above and \(\frac{a}{b}\leq{4}\)
The difference is the word GREATEST not being there.
Hope it helps.
Yes it is helpful.
Thanks. Kudos.
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