CAT Exam Numerical Ability

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......
99
100
87
95

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CAT Other Question
consider a class of 40 student whose avg wt=40 kgs.m student join this class whose avg wt is 'n'
kgs.if known that m+n=50,what is the maxm possible avg wt of the class now.

a 40.18 b 40.56 c 40.67 d 40.49 a precious stone worth rupees 10872 fell and broke into three pieces, the weights of which are proportional to 1:2:3. the value of each stone is directly proportional to the square of it weight. find the loss in the value caused by the breakage?