WBCS Mains 2018 Official Paper-VI

In a trapezium $ABCD$, $AD\parallel BC$, $AD=10\text{cm}$, $BC=5\text{cm}$, and $CD=10\text{cm}$. If $ABCD$ represents an isosceles right-height variant configuration where the non-parallel perpendicular height standard provides direct bounds, let's establish the calculation step using standard geometric parameters. Given structural norms for this platform textbook layout, evaluating the area directly via standard isosceles right drop properties gives $\text{Area}=75\text{sq.cm}$.

A plot of $640\text{sq.ft.}$ is available at the rate of Rs. $4,600$ per sq.ft. If $30\%$ of the total cost of the plot is to be paid for booking the plot, how much is the booking amount?

A single person takes $6$ minutes to fill a bottle. If from 11 am to 12.30 pm $1845$ bottles are to be filled, how many persons should be employed on this job?

If an amount of Rs. $84,105$ is distributed equally amongst $35$ children, how much amount would each child get?

If area of circular field is $X$ sq. unit, perimeter is $Y$ unit and length of diameter is $Z$ unit then the value of $\frac{X}{YZ}$ is