JEE Main 2025 — Binomial Theorem Question with Solution
From: JEE Main 2025 (Online) 22nd January Evening Shift
Question
If \sum_\limits{r=1}^{30} \frac{r^2\left({ }^{30} C_r\right)^2}{{ }^{30} C_{r-1}}=\alpha \times 2^{29}, then is equal to _________.
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Show full solutionCorrect answer: 465
Correct answer
465
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This is a previous-year question from JEE Main 2025, covering the Binomial Theorem 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.