Remainders of division by a factor of 'd' : Number System
The question is a Number properties question. The question is about finding the remainder of the division of a number by a factor of a divisor 'd'; the remainder when a number is divided by the divisor 'd' is given.
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?
- None of these
Correct Answer - 7
. Choice (2)
Let the number be 'a'.
When 'a' is divided by 36, let the quotient be 'q' and we know the remainder is 19.
and remainder is 19
or a = 36q + 19
when 'a' is divided by 12, we get
36q is divisible by 12.
Therefore, remainder = 7
Correct answer choice (2)
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