IOQM · Mathematics · Basic Preliminaries
Greatest Integer Function
Floor and fractional-part identities, classic [.]-based olympiad problems.
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- Previous papers: 10 official question papers from HBCSE-TIFR (Mathematical Olympiad Cell) — 2025, 2024, 2022-23, 2021-22 and 1 earlier year.
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Practice this topic
Take a full mock →Q1 · Greatest Integer Function · EASY
What is the value of ⌊4.7⌋ + ⌊−2.3⌋, where ⌊·⌋ denotes the greatest integer function?
Q2 · Greatest Integer Function · MEDIUM
How many integers x satisfy the equation ⌊x/3⌋ = 5?
Q3 · Greatest Integer Function · HARD
Find the sum ⌊√1⌋ + ⌊√2⌋ + ⌊√3⌋ + ... + ⌊√100⌋.