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      Question

      A six-digit number 11p9q4 is divisible by 24. Then the

      greatest possible value for (p + q) is
      A 56 Correct Answer Incorrect Answer
      B 15 Correct Answer Incorrect Answer
      C 78 Correct Answer Incorrect Answer
      D 35 Correct Answer Incorrect Answer

      Solution

      11p9q4ย  ย will be divisible by 24 = 8 ร— 3 As we know the divisibility rule of 8 and 3 so, take the maximum value of p and q from 1 to 9. p = 7 and q = 8 the value of p+ q = 7+8 = 15

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