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    Question

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

    such that ab = 99 and bc = 275. Find the value of (a + b + c).
    A 35 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    Given, ab = 99 and bc = 275 Therefore, their H.C.F = b = 11 Therefore, a = 99/11 = 9 And, c = 275/11 = 25 Therefore, a + b + c = 9 + 11 + 25 = 45

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