Five students, including Amit, appear for an examination in which possible marks are integers between 0 and 50

Question

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

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Accepted Answer

20. The average marks for all the students is 38. Sum = 5*38 = 190 To find the minimum marks scored by Amit, we need to maximise the score of remaining students. Maximum scores sum of remaining students = 50 + 49 + 48 + 32 = 179 Minimum possible score of Amit = 190 - 179 = 11 It is given, Amit scored le