JEE Main 2019MathematicsBinomial TheoremMediumMCQ

JEE Main 2019 — Binomial Theorem Question with Solution

JEE Main 2019 (09 Jan Shift 1)

Question

If the fractional part of the number 240315 is k15, then k is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C8

Step-by-step explanation

2403=23.24100 
=8.15+1100
=8100C015100+ 100C11599+....+ 100C9915+ 100C100
=8.15λ+1
=8.15λ+8
⇒240315=8λ+815
Hence, k=8

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About this question

This is a previous-year question from JEE Main 2019, 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.