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IKMC 2012 - Grades 11-12 - Paper 02 - Self-study Question 24

IKMC · IKMC 2012 - Grades 11-12 - Paper 02 - Self-study

Question 24

In a fraction game, each operation either increases the numerator by 8 or increases the denominator by 7, without simplifying during the game. Starting from 7/8, after n operations the fraction has the original value again. What is the smallest possible positive n?
  1. 56
  2. 81
  3. 109
  4. 113
  5. This is impossible