Question 21
Tom selected 30 different whole numbers such that the product of any 11 numbers is always even. The sum of the 30 numbers is odd. Find their least possible sum.
Editorial restriction for this scored version: use positive integers only (1,2,3,…), excluding 0, to match the source’s intended domain. The original English says “whole numbers”, which normally includes 0; the solution explains the difference.
Input: enter the requested whole-number answer without units. You may omit leading zeroes from the paper answer grid.
Editorial restriction for this scored version: use positive integers only (1,2,3,…), excluding 0, to match the source’s intended domain. The original English says “whole numbers”, which normally includes 0; the solution explains the difference.
Input: enter the requested whole-number answer without units. You may omit leading zeroes from the paper answer grid.