JEE Main 2024 — Functions Question with Solution
From: JEE Main 2024 (Online) 5th April Morning Shift
Question
If , where denotes the greatest integer less than or equal to and represents the fractional part of , then 72 \sum_\limits{a \in S} a is equal to _________.
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Show full solutionCorrect answer: 18
Step-by-step explanation
Case I: If
Case II: If
No solution
Case III: If
No solution
only solution is
72 \sum_\limits{a \in S} a=72 \times \frac{1}{4}=18
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This is a previous-year question from JEE Main 2024, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.