Question
In an institute, the average score on an IBACIO
Scholarship test for 52 aspirants is 51. Excluding the scores of the top 5 performers, the average score of the remaining aspirants drops by 3. None of the first five highest scores is below 60, and each of the top 5 scorers has distinct integral scores. Determine the maximum possible score of the top performer, considering the maximum score is 200.Solution
ATQ, Let the score of the topper be 'x' Total score of 52 aspirants = 52 × 51 = 2652 Total score of remaining 47 aspirants after scores of the best five performers are removed = 47 × 48 = 2256 Total score of the top five aspirants = 2652 – 2256 = 396 x + (total score of the next 4 top scores) = 396 x is the maximum when the total score of the next 4 top scorers is minimum. Total score of the next 4 top scorers has a minimum value of 60 + 61 + 62 + 63 = 246 (since all the top 5 scores are distinct) and the least is 60. Therefore, 'x' has a maximum value of 396 – 246 = 150
Answer the questions based on the information given below.
The table given below shows total number of matches (test + ODI) played by the ...- What is the average of total number of subscribers of channel E and C?
Number of Sold Nokia mobile in months of March, May and December together is approximately what percent of Number of sold Samsung mobile in months of A...
What is the total number of Refrigerators from Store A, C and E together?
What is the difference between the number of Football players playing from Haryana and number of Cricket players playing from Haryana?
Find the ratio of total number of Cricket players from Uttarakhand to the number of Football players from Maharashtra.
Number of students who obtained more than 69 but less than 140 marks in Maths is approximately how much percent less or more than that of the students w...
Jill has to invest Rs 18 lakh wants to invest for a period of not more than 3 years. What is the maximum possible interest that he can receive by invest...
Find the average number of TV sold by P, R and S.
Find the ratio of the number of children who went to cinema hall D to that of number of children who went to cinema hall C.