The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is  Choices
A) 87	B) 95	C) 99	D) 100	E) 103
If the value of all other except the largest is 55..   Largest will be 60*10-55*9=600-495=105..   However the top 5 are distinct and the smallest of these can be 55, so remaining THREE will be 1,2,&amp;3 more so total combined value will be 1+2+3 or 6 more..   Therefore the largest will be 6 less than max possible..... 105-6=99   ANSWER:99
<result>C</result>
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is