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      Question

      What is the least positive number which leaves

      remainders 5, 7, and 8 when divided by 6, 8, and 9 respectively?
      A 71 Correct Answer Incorrect Answer
      B 57 Correct Answer Incorrect Answer
      C 42 Correct Answer Incorrect Answer
      D 100 Correct Answer Incorrect Answer

      Solution

      Let the number be x Given: x ≡ 5 (mod 6) x ≡ 7 (mod 8) x ≡ 8 (mod 9) This means x + 1 is divisible by 6, 8, and 9. LCM of 6, 8, and 9 = 72 So, x + 1 = 72 x = 71

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