JEE Main 2024 — Probability Question with Solution
From: JEE Main 2024 (Online) 8th April Morning Shift
Question
Let the sum of two positive integers be 24 . If the probability, that their product is not less than times their greatest possible product, is , where , then - equals
Choose an option
Show full solutionCorrect option: A
Step-by-step explanation
Take two numbers as and

For product to be maximum
Maximum product is 144
Now,
Sample space
Integer points on line in shaded region
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This is a previous-year question from JEE Main 2024, covering the Probability 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.