JEE Main 2021MathematicsBinomial TheoremHardNumerical

JEE Main 2021Binomial Theorem Question with Solution

JEE Main 2021 (25 Feb Shift 2)

Question

If the remainder when x is divided by 4 is 3, then the remainder when 2020+x2022 is divided by 8 is ___ .

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Correct answer
1

Step-by-step explanation

x=4k+3

2020+x2022=2020+4k+32022

=4505+k+32022

=4λ+32022=16λ2+24λ+91011

=82λ2+3λ+1+11011

=8p+11011

Remainder when divided by 8=1.

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About this question

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.