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    Question

    The average of forty numbers is 45 while the average of

    first twenty-two numbers and last twenty-two numbers is 50 and 60, respectively. Find the twenty-second term.
    A 528 Correct Answer Incorrect Answer
    B 620 Correct Answer Incorrect Answer
    C 487 Correct Answer Incorrect Answer
    D 785 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of forty numbers = (40 Ă— 45) = 1800

    Sum of the first twenty-two numbers = (22 Ă— 50) = 1100

    Sum of the last twenty-two numbers = (22 Ă— 60) = 1320

    So, twenty-second term = 1100 + 1320 - 1800 = 620

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