WBCS Mains 2018 Official Paper-VI

A circular copper wire of radius $7\text{cm}$ is bent to form a rectangle. If the breadth and length of the rectangle are in the ratio of $4:7$ respectively, what is the breadth of the rectangle? (in $\text{cm}$)

$11111\times 11111$ is equal to

There are five positive observations. The average of the first three observations is $8$ and that of the last three observations is $6$. If the average of all five observations is $6$, what is the third observation?

A survey shows that $73\%$ of the Indians like apples, whereas $65\%$ like oranges. What percentage of Indians like both apples and oranges?

A man saved $\text{Rs. }16,500$ in $10$ years. In each year after the first year he saved $\text{Rs. }100$ more than he did in the preceding year. How much did he save in the first year?