The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?
  • a)
    289
  • b)
    367
  • c)
    453
  • d)
    307
Correct answer is option 'D'. Can you explain this answer?

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Answers

Imk Pathshala
Sep 16, 2021
The difference of the numbers = 34041 – 32506 = 1535
The number that divides both these numbers must be a factor of 1535.
307 is the only 3 digit integer that divides 1535.

Jimmy Pandey
2 weeks ago
The difference of the two numbers are 1535 so we want to get to the number so, 1×1535 and 307×5 is 1535 and in the option there is only one number 307 which satisfied the condition

The difference of the numbers = 34041 – 32506 = 1535The number that divides both these numbers must be a factor of 1535.307 is the only 3 digit integer that divides 1535.
The difference of the numbers = 34041 – 32506 = 1535The number that divides both these numbers must be a factor of 1535.307 is the only 3 digit integer that divides 1535.