JEE Main 2021 — Binomial Theorem Question with Solution
From: JEE Main 2021 (Online) 27th August Evening Shift
Question
3 722 + 2 1022 44 when divided by 18 leaves the remainder __________.
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Show full solutionCorrect answer: 15
Correct answer
15
Step-by-step explanation
3(1 + 6)22 + 2 . (1 + 9)22 44 = (3 + 2 44) = 18 . I
= 39 + 18 . I
= (54 39) + 18(I 3)
= 15 + 18I1
Remainder = 15
= 39 + 18 . I
= (54 39) + 18(I 3)
= 15 + 18I1
Remainder = 15
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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.