CAT 2022 Slot 2 QA Question 17: 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

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

Accepted Answer

The total marks of the five students are:

$5 	imes 38 = 190$

Arrange the five marks in increasing order as $a

Exactly three students scored more than 32. Hence, $c$, $d$ and $e$ are greater than 32, while $a$ and $b$ are at most 32.

For the lowest possible value of $a$, maximize the other four