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    Question

    If the third proportion of 16 and 20 is тАЬ0.5kтАЭ, then

    find the value of (k тИТ 20) : (k + 10).
    A 1:2 Correct Answer Incorrect Answer
    B 2:3 Correct Answer Incorrect Answer
    C 3:4 Correct Answer Incorrect Answer
    D 5:6 Correct Answer Incorrect Answer

    Solution

    Third proportion of two numbers тАШaтАЩ and тАШbтАЩ is (b 2 /a).
    So, 0.5k = (20 2 /16) = 25
    Or, 'k' = 50
    Required value = (50 - 20) : (50 + 10) = 30 : 60 = 1 : 2

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