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    Question

    This question obtained (1) Marks: 

    If x1, x2,.....xn  are non−negative real numbers, then their 

    A Arithmetic mean ≤ Geometric mean Correct Answer Incorrect Answer
    B Geometric mean ≤ Arithmetic mean Correct Answer Incorrect Answer
    C Arithmetic mean = 0.5 (Geometric mean) Correct Answer Incorrect Answer
    D There is no fixed relationship between Arithmetic mean and Geometric mean Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Solution For non−negative real numbers, geometric mean is always less than or equal to arithmetic mean. The condition for equality holds only when all the numbers are identical. 

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