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SSC CHSL 2024 · PYQ · Number System · medium

When the integer n is divided by 18, the quotient is x and the remainder is 6. When the integer n is divided by 25, the quotient is y and the remainder is 15. Which of the following is true?

  1. A.25y − 18x = 9✓ Correct
  2. B.25y + 18x = 9
  3. C.18x + 25y = 9
  4. D.18x − 25y = 9

Explanation

n = 18x + 6 and n = 25y + 15. Setting equal: 18x + 6 = 25y + 15 → 18x − 25y = 9 → 25y − 18x = −9. Re-arranging: 18x − 25y = 9 (option b). The answer key indicates option (a) 25y − 18x = 9.
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