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IMAS 2025–2026 — Middle Primary — First Round Question 23

IMAS · IMAS 2025–2026 — Middle Primary — First Round

Question 23

Bob is writing down positive integers, from left to right, starting from 1. After every 7 digits, he inserts an “@” sign. For example: 1 2 3 4 5 6 7 @ 8 9 1 0 1 1 1 @ 2 1 3 1 4 1 5 @ … and so on. What are the three digits, in exact order, immediately after the 100th “@”?