Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremRemainder and Divisibility ProblemsMedium2 minPYQ_2022

MathematicsMediumsingle choice

The remainder when $3^{2022}$ is divided by $5$ is

Answer:

Solution:

${(3^{2})}^{1011}$ $= {(10 - 1)}^{1011}$ $= - {(1 - 10)}^{1011}$

$= - [1 - {{}^{1011}C}_{1} 10 + {}^{1011}C_{2} 10^{2} \dots] = 10 q - 1$

So, here the remainder will be $5 - 1 = 4$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:Remainder and Divisibility Problems

⏱ 2mℹ️ Source: PYQ_2022

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