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    Question

    The average of five even numbers is 64. If we replace

    two of these even numbers, 84 and 92, with a single even number X, the new average decreases by 4. What is the value of X?
    A 94 Correct Answer Incorrect Answer
    B 96 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 98 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Sum of 5 even numbers = 5 x 64 = 320 Sum of after 2 replacing even numbers by X = 320 - (84 + 92) + X = 320 - 176 + X Now Sum of 4 even numbers = (64 - 4) x 4 = 240 According the question, we get 320 – 176 + X = 240 X = 240 – 320 + 176 X = 96

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