JEE Main 2023 — Binomial Theorem Question with Solution
From: JEE Main 2023 (Online) 10th April Evening Shift
Question
Let the number leave the remainder when divided by 3 and when divided by 7. Then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D5
Step-by-step explanation
We have,
As 2022 is completely divisible by 3
So, is also divisible by 3
leave a remainder 1 , when divisible by 3 .
leave a remainder when divisible by 3
leave a remainder 2 when divisible by 7
As 2022 is completely divisible by 3
So, is also divisible by 3
leave a remainder 1 , when divisible by 3 .
leave a remainder when divisible by 3
leave a remainder 2 when divisible by 7
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Binomial Theorem chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2023, 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.