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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 15

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 15

Positive integers $a,b$ satisfy $a^3=3060b^2$. Find the smallest possible $b$.

Original printed choices: A: 6; B: 4; C: 3; D: 5.

Editorial format: answer directly; the printed choices are retained for source fidelity. See the solution for the source issue.