CAT (QA) PYQs

In an election, there were four candidates and $80\%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the other three candidates received the remaining casted votes in the proportion $1: 2: 3$. If the winner of the election received $2512$ votes more than the candidate with the second highest votes, then the number of registered voters was

The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh's salary increased by $25\%$ during $2010-2015$, then the percentage increase in Rajesh's salary during this period is closest to:

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