Question : On dividing a certain number by 363, we get 17 as the remainder. What will be the remainder when the same number is divided by 11?
Option 1: 7
Option 2: 8
Option 3: 6
Option 4: 9
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Correct Answer: 6
Solution :
Given that, On dividing a certain number by 363, we get 17 as the remainder.
Let the number be $363x+17$.
The number = $33x(11)+1(11) + 6$
The number = $11(33x+1) + 6$
So, the remainder when the given number is divided by 11 is 6.
Hence, the correct answer is 6.
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