Question
On dividing a certain number by 304, we get 43 as the
remainder. If the same number is divided by 16, what will be the remainder?Solution
Given: Divisor = 304 Remainder = 43 New divisor = 16 Formula Used: Dividend = Divisor × quotient+ Remainder Solution: let the quotient be k then, dividend = 304k+43 now if we divide the this by 16 then In the above, we can see that 16 divide 304k but dividing 43 by 16 gives 11 as a remainder, Therefore, when (304k+43) is divided by 16, remainder is 11. Alternate Method: We can directly check it through the remainder. Dividing divisor 304 by 16 gives no remainder but dividing 43 by 16 gives 11 as a remainder.
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