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. 7
B. 9
C. 11
D. 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 number (342n + 47) into the equation and find the remainder when it is divided by 18.
The remainder when 342 is divided by 18 is 6. So, we can rewrite the equation as 6n + 47.
Now, we need to find the remainder when (6n + 47) is divided by 18.
The remainder when 47 is divided by 18 is 11.
So, the remainder when the original number is divided by 18 is 11.
Therefore, the answer is C. 11.
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