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    Question

    Three figures X, Y, and Z are such that X is 1.5 times Y

    and Z is the mean of X and Y. The sum of all three comes out to be 675. Find the second greatest figure among them.
    A 360 Correct Answer Incorrect Answer
    B 387 Correct Answer Incorrect Answer
    C 225 Correct Answer Incorrect Answer
    D 256 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the value of Y be тАШxтАЩ

    So, value of X = 1.5x

    So, value of Z = (x + 1.5x)/2 = 2.5x/2 = тАШ1.25xтАЩ

    ATQ;

    x + 1.5x + 1.25x = 675

    Or, 3.75x = 675

    Or, x = 180

    So, the second greatest figure = тАШZтАЩ = 1.25x = 1.25 ├Ч 180 = 225

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