JEE Main 2017MathematicsBinomial TheoremEasyMCQ

JEE Main 2017 — Binomial Theorem Question with Solution

JEE Main 2017 (08 Apr Online)

Question

If 27999 is divided by 7, then the remainder is

Choose an option

Show full solutionCorrect option: C
Correct answer
C6

Step-by-step explanation

Given, (27)999

=28-19997

=28λ-17

=28λ-7+7-17

=74λ-1+67

∴ Remainder=6

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About this question

This is a previous-year question from JEE Main 2017, 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.