MathDB
Greece TST 1998 Q5

Source:

March 11, 2013
ceiling functionalgebra unsolvedalgebra

Problem Statement

Let II be an open interval of length 1n\frac{1}{n}, where nn is a positive integer. Find the maximum possible number of rational numbers of the form ab\frac{a}{b} where 1bn1 \le b \le n that lie in II.