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.