A number when divided by 105 leaves 99 as remainder . What will be the remainder if the number is divided by 21 ?

A number when divided by 105 leaves 99 as remainder . What will be the remainder if the number is divided by 21 ? ?

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We know, divident = quotient x divisor + remainder So, divident = quotient x 105 + 99 Now, 105 is completely divisible by 21 yielding the quotient 5. So, we only need to divide the remainder 99 by 21 to see if any remainder remains. Now, 99 = 4 x 21 + 15. So, 15 will be remained as a remainder if the number is divided by 21 instead of 105.

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