WBCS Mains 2018 Official Paper-VI

A girl counted in the following way on the fingers of her left hand:
She started by calling the thumb $1$, the index finger $2$, the middle finger $3$, the ring finger $4$, the little finger $5$ and then reversed direction calling the ring finger $6$, the middle finger $7$ and so on. She counted up to $1770$. She ended counting on which finger?

Two poles of heights $6\text{m}$ and $11\text{m}$ stand vertically on a plane ground. If the distance between their feet is $12\text{m}$, what is the distance between their tops?

At the 'Shoot and Win' stall in a fair, $X$ fires $5$ shots to $Y$ 's $3$, but $X$ hits the target only once in three shots while $Y$ hits once in $2$ shots. When $Y$ has missed $27$ times, how many times has $X$ hit his target?

For her parents' 50th wedding anniversary celebration, Malina decides to buy $50$ balloons. Her supplier only sells balloons in bunches of $12$ for $\text{Rs. }250$ and bunches of $7$ for $\text{Rs. }175$. Malina buys exactly $50$ balloons. What is the total price she pays?

If $-7\le x\le 7$ and $0<y\le 12$, what is the greatest possible value of $(y-x)$?