Question

    The average of 20 numbers is 35. The average of first

    11 numbers is 38 and that of the last 11 numbers is 32. If 10th number and 11th numbers are excluded, then what is the average of the remaining numbers?
    A 34 Correct Answer Incorrect Answer
    B 35 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 33 Correct Answer Incorrect Answer

    Solution

    Sum of 20 numbers = 20 × 35 = 700 Sum of 10th and 11th number = 38 × 11 + 32 × 11 – 700
    = 70 × 11 – 700
    = 770 – 700
    = 70 Desired average = (700 – 70)/(20 – 2) = 35

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