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VTMO 2026 - Grade 3 - Final - SET 5 - Self-study Question 7

VTMO · VTMO 2026 - Grade 3 - Final - SET 5 - Self-study

Question 7

How many seven-digit numbers $\overline{A623B4C}$ make both $\overline{47A1B25}$ and $\overline{A623B4C}$ divisible by 3? A, B and C are digits.
Examples:
• 2623341 qualifies because 4721325 and 2623341 are both divisible by 3.
• 4623145 does not qualify: 4741125 is divisible by 3, but 4623145 is not.

Question illustration
  1. 21
  2. 45
  3. 54
  4. 90
  5. 126