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IKMC 2027 - Grades 7-8 - Self-study SET 5 - Thematic Batch 3 Question 28

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 5 - Thematic Batch 3

Question 28

Each Happy Garden ticket has a unique code: one letter, then four digits, then two letters. It is “happy” if all three letters are the same and the sum of the first two digits equals the sum of the last two. The digits are not all zero, and letters are from the 26-letter English alphabet. How many happy tickets have first digit 0?

Question illustration
  1. 832
  2. 904
  3. 1204
  4. 1404
  5. 1430