Question

The average score in an examination taken by 52 students of a class is 85. If the scores of the best 5 performers are not considered, the average score of the remaining students falls by 2. If, none of the first five highest scorers is not below 80 and if each of the 5 top scorers had distinct integral scores, find the maximum possible score of the topper.​

Answer 1

Answer:

177

Step-by-step explanation:

If the top 5 performers are not considered, the average drops by 2.

Thus,average without top 5 performers = 85 - 2 = 83

Total scored with 5 table toppers = 52 × 85 = 4420

Total scored without 5 table toppers = 47 × 83 = 3901

Total scores of top 5 table toppers = 4420 - 3901 = 519

We are told that each of the 5 top scorers had distinct integral scores.

Also, all of them will score greater than 83.

Thus,possible maximum score of table topper = 519 - (84 + 85 + 86 + 87) = 177