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(A) Let the number be $N$ and the quotient be $K.$According to the division algorithm,$N = 357 	imes K + 37.$We need to find the remainder when $N$ i

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(A) Let the number be $N$ and the quotient be $K.$According to the division algorithm,$N = 357 	imes K + 37.$We need to find the remainder when $N$ is divided by $17.$$N = (17 	imes 21) 	imes K + (17 	imes 2 + 3).$$N = 17 	imes (21K + 2) + 3.$Since $N$ is expressed in the form $17 	imes Q' + R,$ where $Q' = 21K + 2$ and $R = 3,$ the remainder is $3.$

$A$ number when divided by $357$ gives a remainder $37.$ By dividing the same number by $17,$ the remainder would be

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