JEE Main 2021 — Binomial Theorem Question with Solution
From: JEE Main 2021 (Online) 17th March Morning Shift
Question
If (2021)3762 is divided by 17, then the remainder is __________.
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Show full solutionCorrect answer: 4
Correct answer
4
Step-by-step explanation
2021 = 17m - 2
(2021)3762 = (17m 2)3762 = multiple of 17 + 23762
= 17 + 22 (24)940
= 17 + 4 (17 1)940
= 17 + 4 (17 + 1)
= 17k + 4; (k I)
Remainder = 4
(2021)3762 = (17m 2)3762 = multiple of 17 + 23762
= 17 + 22 (24)940
= 17 + 4 (17 1)940
= 17 + 4 (17 + 1)
= 17k + 4; (k I)
Remainder = 4
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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.