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    The average of 12 numbers is 40. The average of the first 6 numbers is 35 and the average of the next 5 numbers is 45. If the 11th number is 5 less th
    Question

    The average of 12 numbers is 40. The average of the first 6 numbers is 35 and the average of the next 5 numbers is 45. If the 11th number is 5 less than the 12th number, then what is the average of the 11th and 12th numbers?

    A.

    42.5

    B.

    43.5

    C.

    44.5

    D.

    45.5

    Correct option is A

    Total = 12 × 40

    = 480

    Sum of 1st six numbers = 6 × 35

    = 210

    Sum of next five numbers = 5 × 45

    = 225

    Last (12th) numbers = 480 - 210 - 225 = 45

    So, 11th = 45 – 5 = 40

    Required average = 40+452\frac{40+45}{2}​ = 42.5

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