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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

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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.

This problem has been solved

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