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IKMC 2027 - Grades 5-6 - Self-study SET 15 - Thematic Batch 3 Question 23

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 15 - Thematic Batch 3

Question 23

Marry writes 1, 2, 3, …, 10 on a board. She repeatedly erases two numbers a, b and replaces them by a−b. What is the fewest number of operations needed for the final result on the board to be 0?

Question illustration

As intended by the source,“final result” means that only one number remains. The alternative reading is discussed in the solution.
  1. 10
  2. 15
  3. 20
  4. 24
  5. Impossible