The average of 17 numbers is 48. The average of first 9 numbers is 45 and…

2020

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

  1. A.

    28.4625

  2. B.

    24.4375

  3. C.

    29.5225

  4. D.

    28.5135

Attempted by 11 students.

Show answer & explanation

Correct answer: A

Total of 17 numbers = 17 x 48 = 816.

Total of the first 9 numbers = 9 x 45 = 405 and total of the next 9 numbers = 9 x 52 = 468.

The 9th number is counted in both groups, so it is 405 + 468 - 816 = 57.

Excluding it, the remaining average = (816 - 57)/16 = 47.4375. Required 60% = 28.4625.

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