WBCS Mains 2018 Official Paper-VI

The value of $10^2+\frac{1}{100}+0.0001$ is equal to:

If $S=ut+\frac{1}{2}a{t}^2$ and $u=50$, $a=9.8$, $t=2$, then the value of $S$ is:

A circular lawn has an area of $154\text{sq. meter}$. A path of $7\text{meter}$ width surrounds the lawn. What is the area of the lawn including the path (in $\text{sq. meter}$)?

Sushant spent $18\%$ of his monthly salary on buying electronic goods and $32\%$ of the monthly salary on repair work in his house. Out of the remaining amount, he invested $42\%$ in a fixed deposit. If he was left with $\text{Rs. }12,325$, how much is his annual salary?

Present ages of Neha and Rashmi are in the ratio of $7:8$ respectively. Six years hence, the ratio of their ages will become $9:10$ respectively. What is Rashmi's present age?