A number,when divided by 729,leaves a remaind | vedclass

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(B) Let the number be $N$. According to the division algorithm,$N = 729q + 56$,where $q$ is the quotient.We want to find the remainder when $N$ is div

Vedclass · Accepted Answer

$2$

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(B) Let the number be $N$. According to the division algorithm,$N = 729q + 56$,where $q$ is the quotient.We want to find the remainder when $N$ is divided by $27$.We can rewrite $N$ as: $N = (27 	imes 27)q + 56$.Since $729 = 27^2$,$729$ is a multiple of $27$.Now,divide $56$ by $27$ to find the remainder: $56 = 27 	imes 2 + 2$.Therefore,$N = 27(27q + 2) + 2$.This shows that when $N$ is divided by $27$,the remainder is $2$.

$A$ number,when divided by $729$,leaves a remainder of $56$. What will be the remainder if the same number is divided by $27$?

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