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AMO 2027 Grades 2-3 SET 19 - Self-study Question 11

AMO · AMO 2027 Grades 2-3 SET 19 - Self-study

Question 11

A short street where Bernard lives has 6 houses. One day 35 letters are delivered in his street and he receives more letters than anyone else. What is the smallest number of letters he may have received?

Self-study interpretation (editorial): treat each house as one recipient of letters, with Bernard being one of the six recipients.

Planned review repeat (editorial): this source item appeared in SET 10, Q07. It is one of the 12 final-fill repeats explicitly allocated by the frozen core plan.

Self-study distribution convention (editorial): all 35 letters go to these six recipients, and Bernard has strictly more than each of the other five.
  1. 3
  2. 5
  3. 7
  4. 8
  5. 9