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    Question

    Of the four numbers, whose average is 75, the first is one-fourth of the sum of the last three. The first number is

    A 300 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 75 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let numbers be a, b, c & d Now according to the question, (a + b + c + d)/4 = 75 or a + b + c + d = 300 ................ (1) a = (1/4) (b + c + d) or b + c + d = 4a .......................... (2) Putting equation (2) in equation (1), we will get a + 4a = 300 or 5a = 300 or a = 60

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