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    Question

    If x1, x2,.....xnĀ  are nonāˆ’negative real numbers,

    then theirĀ  This question obtained (1) Marks:Ā 
    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 nonāˆ’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.Ā 

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