Multiple Choice Questions on The average of 15 numbers is 15 If the average of first five numbers is 14 and that of other 9 numbe........... for UPPCS Exam Preparation

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Multiple Choice Questions

The average of 15 numbers is 15 If the average of first five numbers is 14 and that of other 9 numbe...........

Elelmentary Mathematics (UPPCS) Average
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    The average of 15 numbers is 15. If the average of first five numbers is 14 and that of other 9 numbers is 16, then find the middle number.

    15

    Incorrect Answer

    13

    Incorrect Answer

    11

    Correct Answer

    9

    Incorrect Answer
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    Explanation:

    Average of 15 numbers = 15, Average of 5 numbers = 14, Average of 9 numbers = 16

    Average = Total Numbers
    No. of Numbers
    15 = Total Numbers/
            15


    Therefore, total numbers = 15 x 15 = 225
    Middle number = (Total numbers) – [(Average of 5 num x no of num) + ( Average of 9 num x no of num)]
    = (225) – [(14 x 5) + (16 x 9)]
    = (225) – [214] = 11

    Hence, option 3 is the correct answer.

    By: Amit Kumar
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