CAT (QA) PYQs

A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio $7: 17: 16$ for popcorn and $6: 15: 14$ for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio

The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing $18$ units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be $288000$. Then, the price of the original precious stone is

The salaries of three friends Sita, Gita and Mita are initially in the ratio $5 : 6 : 7$, respectively. In the first year, they get salary hikes of $20\%$, $25\%$ and $20\%$, respectively. In the second year, Sita and Mita get salary hikes of $40\%$ and $25\%$, respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is