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AIMO 2021 Senior secondary — Preliminary (Open Trial 1) Question 13

AIMO · AIMO 2021 Senior secondary — Preliminary (Open Trial 1)

Question 13

Let $[x]$ denote the greatest integer not exceeding x. Evaluate $[1^2/2]+[2^2/2]+[3^2/2]+\cdots+[20^2/2]$.

Original printed choices: A: 20; B: 1435; C: 140; D: 1260.

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