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IKMC 2027 - Grades 9-10 - Self-study SET 10 - Thematic Batch 3 Question 25

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 10 - Thematic Batch 3

Question 25

Alex lists 2016 positive integers. Julia chooses any integer k from 21 through 40, and Alex deletes k entries so that the remaining average is 21; he can always do so. Let M and m be the greatest and least possible sums of the remaining entries. What is M−m?

Question illustration
  1. 38304
  2. 2016
  3. 399
  4. 61
  5. 420