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      Question

      Three numbers a, b and c are co-prime to each other

      such that ab = 63 and bc = 77. Find the value of (a + b + c).
      A 23 Correct Answer Incorrect Answer
      B 25 Correct Answer Incorrect Answer
      C 27 Correct Answer Incorrect Answer
      D 29 Correct Answer Incorrect Answer

      Solution

      Given, ab = 63 and bc = 77 Therefore, their H.C.F = b = 7 Therefore, a = 63/7 = 9 And, c = 77/7 = 11 Therefore, a + b + c = 9 + 7 + 11 = 27

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