algebra Problem Set prepared by B. J. Venkatachala for Olympiad Orientation Programme-2014, North-East Regions 1) A triangle has sides 13, 20, 21. Is there an altitude having integral length? 2) What is the minimum number of years needed for the total number of months in them is a number containing only the digits 0 and 1? 3) Suppose a, b are integers such that