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    Question

    The average of five even numbers is 62. 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

    Solution

    Sum of 5 even numbers = 5 x 62 = 310 Sum of after 2 replacing even numbers by X = 310 - (84 + 92) + X = 310 - 176 + X Now Sum of 4 even numbers = (62 - 4) x 4 = 232 According the question, we get 310 – 176 + X = 232 X = 232 – 310 + 176 X = 98

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