Problem

Mock Euclid 2025 - Problem 6 Part A

Let $a$ and $b$ be integers such that $(a+29)b + 10788 + 372a \equiv 10 \pmod{11}$ and $a \equiv 3 \pmod{11}$ . Determine the remainder when $b$ is divided by $11$ .

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Difficulty —

Category: Mock Euclid
Points: 2
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