MathDB
Math Prize 2013 Problem 3

Source:

September 10, 2013

Problem Statement

Let S1S_1, S2S_2, …\dots, S125S_{125} be 125 sets of 5 numbers each, comprising 625625 distinct numbers. Let mim_i be the median of SiS_i. Let MM be the median of m1m_1, m2m_2, …\dots, m125m_{125}. What is the greatest possible number of the 625 numbers that are less than MM?
Back to ProblemsView on AoPS