On dividing a certain number by 342, we get 47 as reminder. If the same number is divided by 18, what will be the remainder?Options :A.7B.9C.11D.13
Question
On dividing a certain number by 342, we get 47 as reminder. If the same number is divided by 18, what will be the remainder?Options :A.7B.9C.11D.13
Solution
The problem states that when a certain number is divided by 342, the remainder is 47. This means that the number can be expressed in the form of 342n + 47, where n is the quotient.
Now, we need to find the remainder when this number is divided by 18.
To do this, we can substitute the expression 342n + 47 into the division operation.
Since 342 is divisible by 18, the remainder will be the same as when 47 is divided by 18.
47 divided by 18 gives a quotient of 2 and a remainder of 11.
So, the remainder when the original number is divided by 18 is 11.
Therefore, the answer is C. 11.
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