$A$ bus for Trivandrum leaves every $30 \,minutes$ from a bus stand. On enquiring,the clerk told a passenger that the bus had already left ten minutes ago and the next bus will leave at $9:35 \,am$. At what time did the clerk give this information to the passenger?

The Managing Director entered the conference room $10 \, \text{minutes}$ before $12:30 \, \text{hours}$ for interviewing. He came $20 \, \text{minutes}$ before the chairman who was $30 \, \text{minutes}$ late. At what time was the interview scheduled?

$(I)$ Kamal is available at home from $12$ noon to $4 \,p.m.$ on Tuesday,Thursday,and Sunday.
$(II)$ His younger brother Navin is available at home on Monday,Thursday,Friday,and Sunday between $10 \,a.m.$ to $2 \,p.m.$
$(III)$ The eldest brother Rajiv is available between $9 \,a.m.$ to $12$ noon on Monday,Wednesday,and Thursday and $2 \,p.m.$ to $4 \,p.m.$ on Friday,Saturday,and Sunday.
For how many days is only one brother available at a particular time in a week?

Among six members $P, Q, R, G, S$ and $M$ sitting around a circle facing the centre,$(i)$ $R$ is between $G$ and $P$,$(ii)$ $M$ is between $P$ and $S$. What is the position of $Q$?

In a row of $21$ girls, when Anita was shifted by four places towards the right, she became $12^{th}$ from the left end. What was her earlier position from the right end of the row (in $^{th}$)?

Count each $1$ in the following sequence of numbers that is immediately followed by $2$,if $2$ is not immediately followed by $3$. How many such $1$'s are there?
$1, 2, 1, 3, 4, 5, 1, 2, 3, 5, 2, 1, 2, 6, 1, 4, 5, 1, 1, 2, 4, 1, 2, 3, 2, 1, 7, 5, 2, 1, 2, 5$