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IMAS 2024–2025 — Middle Primary — Round 2 Question 5

IMAS · IMAS 2024–2025 — Middle Primary — Round 2

Question 5

The sum of the dots on each pair of opposite faces of a fair die is 7. Alice rolls three fair dice and records the numbers of dots on the top faces (from left to right) as a three-digit number. She also records the numbers of dots on the bottom faces (from left to right) as another three-digit number. Then Alice appends the second number after the first one to form a six-digit number. If this six-digit number is a multiple of 3895, what is value of the first three-digit number?
  1. $234$
  2. $324$
  3. $342$
  4. $423$
  5. $432$