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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?

Answers

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? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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We know that,Dividend = (Quotient × Divisor) + RemainderLet the quotient is k.Dividend = 2567k + 147When 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.