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      Question

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

      such that ab = 221 and bc = 247. Find the value of (a + b + c).
      A 45 Correct Answer Incorrect Answer
      B 49 Correct Answer Incorrect Answer
      C 53 Correct Answer Incorrect Answer
      D 57 Correct Answer Incorrect Answer

      Solution

      Given, ab = 221 and bc = 247 Therefore, their H.C.F = b = 13 Therefore, a = 221/13 = 17 And, c = 247/13 = 19 Therefore, a + b + c = 17 + 13 + 19 = 49

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