JEE Main 2021 — Binomial Theorem Question with Solution
From: JEE Main 2021 (Online) 22th July Evening Shift
Question
The number of elements in the set {n {1, 2, 3, ......., 100} | (11)n > (10)n + (9)n} is ______________.
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Show full solutionCorrect answer: 96
Correct answer
96
Step-by-step explanation
Clearly the above inequality is true for n 5
For n = 4, we have
Inequality does not hold good for n = 1, 2, 3, 4
So, required number of elements ={5, 6, 7, ......., 100} = 96
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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.