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A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?
Correct answer is '11'. Can you explain this answer?
Verified Answer
A number when divided by 2567, gives a remainder of 147. If the same ...
We know that,
Dividend = (Quotient × Divisor) + Remainder
Let the quotient is k.
Dividend = 2567k + 147
When the number is divided by 17.
(2567k + 147/17) = 151k + (147/17)
While solving we get quotient as 8 and remainder = 11
∴ The required remainder is 11.
Hence, the correct answer is 11.
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A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer?
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