CAT (QA) PYQs

In an examination, the average marks of $4$ girls and $6$ boys is $24$. Each of the girls has the same marks while each of the boys has the same marks. If the marks of any girl is at most double the marks of any boy, but not less than the marks of any boy, then the number of possible distinct integer values of the total marks of $2$ girls and $6$ boys is

Manu earns Rs. $4000$ per month and wants to save an average of Rs. $550$ per month in a year. In the first nine months, his monthly expense was Rs. $3500$, and he foresees that, tenth month onward, his monthly expense will increase to Rs. $3700$. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be

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