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IKMC 2027 - Grades 5-6 - Self-study SET 7 - Thematic Batch 3 Question 20

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 7 - Thematic Batch 3

Question 20

At a party, five large pizzas are each cut into 12 pieces, initially one piece per guest. More guests arrive, so the waiter takes some uneaten pieces and cuts each into 12 smaller pieces. At the end everyone has eaten exactly one piece. Which total number of guests is possible?

Question illustration

Source-intended convention: all final pizza pieces are distributed and eaten, with no leftovers. Otherwise the number of guests need not equal the number of pieces, and other listed totals could be possible.
  1. 566
  2. 565
  3. 567
  4. 568
  5. 569