When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?
Question
When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?
Solution
The remainder when a number is divided by 36 is 19. This means the number is of the form 36k + 19, where k is the quotient.
When this number is divided by 12, we need to find the remainder.
The number can be rewritten as 12*(3k) + 19.
When 19 is divided by 12, the remainder is 7.
So, the remainder when the number is divided by 12 is 7.
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