JEE Main 2025MathematicsBinomial TheoremProblems Based On Binomial Co Efficient And Collection Of Binomial Co EfficientmediumMCQ

JEE Main 2025Binomial Theorem Question with Solution

From: JEE Main 2025 (Online) 28th January Evening Shift

Question

Let the coefficients of three consecutive terms , and in the binomial expansion of be in a G.P. and let be the number of all possible values of . Let be the sum of all rational terms in the binomial expansion of . Then is equal to:

Choose an option

Show full solutionCorrect option: B
Correct answer
B

283

Step-by-step explanation

No value of r possible

So

Exponent of exponent of term

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Binomial Theorem chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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.