Five students, including Amit, appear for an examination in which possible marks are integers between 0 and 50, both inclusive. The average marks for all the students is 38 and exactly three students got more than 32. If no two students got the same marks and Amit got the least marks among the five students, then the difference between the highest and lowest possible marks of Amit is
Started 1 month ago by Shashank in
Explanatory Answer
The case where Amit gets the least amount of marks looks like…
The maximum mark that Amit can get is 31, He can get it if he can grab 20 marks from the people who score 48, 49 and 50.
In fact, it is possible for Amit to do that…
The difference between the highest and lowest marks if Amit = 31 - 11 = 20.
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