CAT (QA) PYQs

Onion is sold for $5$ consecutive months at the rate of Rs $10,20,25,25$, and $50$ per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these $5$ months is closest to

Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum possible value of the average of these six numbers is

The arithmetic mean of scores of $25$ students in an examination is $50$. Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being $30$, then the maximum possible score of the toppers is