Question

    The average of 17 numbers is 48. The average of first 9

    numbers is 45 and average of next 9 numbers is 52. If 9th number is excluded, then the 60% of the average of the remaining number is:
    A 28.4625 Correct Answer Incorrect Answer
    B 24.4375 Correct Answer Incorrect Answer
    C 29.5225 Correct Answer Incorrect Answer
    D 28.5135 Correct Answer Incorrect Answer

    Solution

    Average of 17 numbers = 48 Sum of 17 numbers = 48 × 17 = 816 The average of first 9 numbers = 45 Sum of first 9 numbers = 45 × 9 = 405 Average of last 9 numbers = 52 Sum of last 9 numbers = 52 × 9 = 468 9 number = 405 + 468 – 816 = 57 Sum of 16 numbers = 816 – 57 = 759 Average of 16 numbers = 759/16 = 47.4375 Therefore, 60% of the average of the remaining number = (60/100) × 47.4375 = 28.4625

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