JEE Main 2021 — Binomial Theorem Question with Solution
From: JEE Main 2021 (Online) 16th March Morning Shift
Question
If n is the number of irrational terms in the
expansion of , then (n 1) is divisible by :
expansion of , then (n 1) is divisible by :
Choose an option
Show full solutionCorrect option: D
Correct answer
D26
Step-by-step explanation
rational if , both are whole numbers,
and
Common terms
So, 8 terms are rational
Then Irrational terms =
Factors 1, 2, 4, 13, 26, 52
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This is a previous-year question from JEE Main 2021, 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.