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    Question

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

    that ab = 34 and bc = 51. Find the value of (a + b + c).
    A 18 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer

    Solution

    Given, ab = 34 and bc = 51 Therefore, their H.C.F = b = 17 Therefore, a = 34/17 = 2 And, c = 51/17 = 3 Therefore, a + b + c = 2 + 17 + 3 = 22

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