Monday, February 1, 2010

GMAT Question of the day

What is the smallest possible radius of a circle such that it is possible to
place 6 points on the circumference with an integer distance between any
(a) 1/π
(b) 2/π
(c) 6/π
(d) 3/π

The smallest radius means the smallest circumference.
The circumference is 2πr.
With six points equidistant with distance between them to be integer,
this integer has to be the smallest, i.e., 1.
Therefore, circumference is 6 units.
Therefore, 2πr = 6 or r = 3/π.