Is the ratio of the area of circle A to the area of square B greater than ?
(1) Square B has a side of length 2.
(2) Square B is inscribed in circle A.
While the question is incomplete, it actually doesn't matter; the answer has to be B. If a square is *inscribed* in a circle, then you can find the exact ratio of the area of the circle to the area of the square. We don't need any lengths - the ratio is always the same (if it's not clear why this is true, it's a useful exercise: draw a square inscribed in a circle, label the radius as 'r', and find the ratio of the area of the circle to the area of the square: you'll notice that all of your r's cancel out).
So it doesn't matter what the question actually says here; the answer has to be B.
Nov 2011: After years of development, I am now making my advanced Quant books and high-level problem sets available for sale. Contact me at ianstewartgmat at gmail.com for details.
Private GMAT Tutor based in Toronto