JEE Main 2023 — Binomial Theorem Question with Solution
From: JEE Main 2023 (Online) 8th April Morning Shift
Question
The largest natural number such that divides is ___________.
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Show full solutionCorrect answer: 31
Correct answer
31
Step-by-step explanation
We have,
Highest powers of 3 is greater than 66. So, their g.i.f. is always 0.
Required natural number
Highest powers of 3 is greater than 66. So, their g.i.f. is always 0.
Required natural number
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This is a previous-year question from JEE Main 2023, 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.