Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremRemainder and Divisibility ProblemsEasy2 minPYQ_2017

MathematicsEasysingle choice

If ${(27)}^{999}$ is divided by $7$ , then the remainder is

Answer:

Solution:

Given, $(27)^{999}$

$= \frac{{(28 - 1)}^{999}}{7}$

$= \frac{28 λ - 1}{7}$

$= \frac{28 λ - 7 + 7 - 1}{7}$

$= \frac{7 (4 λ - 1) + 6}{7}$

$∴$ Remainder $= 6$

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

⏱ 2mℹ️ Source: PYQ_2017

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