JEE Main 2023MathematicsBinomial TheoremDivisibility Concept And Remainder ConceptmediumNumerical

JEE Main 2023Binomial Theorem Question with Solution

From: JEE Main 2023 (Online) 30th January Evening Shift

Question

root of a number is 12 and root of another number is 18 . Then the remainder obtained on dividing by 25 is ____________.

Enter your answer

Show full solutionCorrect answer: 23
Correct answer
23

Step-by-step explanation

Given

(Mod 25)

(Mod 25)

(Mod 25)

(Mod 25)

(Mod 25)

(Mod 25) ..... (i)

Now

(Mod 25)

(Mod 25)

(Mod 25) ..... (ii)

(Mod 25)

(Mod 25)

Answer = 23

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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.