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FMO 2026 - Grade 7 - International - Paper 10 Question 7

FMO · FMO 2026 - Grade 7 - International - Paper 10

Question 7

Each of three friends chooses two distinct digits from 0, 1, 3, 5, 7, 9 to make a two-digit number; no digit is chosen by two friends. Mike’s number is prime, Bob’s number is divisible by 6, and John’s number is divisible by 25. What is the greatest possible value of Mike’s number?
  1. 13
  2. 19
  3. 91
  4. 31
  5. 59