A number,when divided by 296,gives 75 as the | vedclass

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(A) Let the number be $x$. According to the division algorithm,we can write:$x = 296k + 75$,where $k$ is an integer.We want to find the remainder when

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(A) Let the number be $x$. According to the division algorithm,we can write:$x = 296k + 75$,where $k$ is an integer.We want to find the remainder when $x$ is divided by $37$.We can rewrite $296$ as $37 	imes 8$ and $75$ as $(37 	imes 2) + 1$.Substituting these into the equation:$x = (37 	imes 8)k + (37 	imes 2) + 1$$x = 37(8k + 2) + 1$This shows that $x$ is of the form $37m + 1$,where $m = 8k + 2$.Therefore,when the number is divided by $37$,the remainder is $1$.

$A$ number,when divided by $296$,gives $75$ as the remainder. If the same number is divided by $37$,then the remainder will be:

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