At what time between $3$ and $4$ o'clock are the hands of a clock together?

If a clock takes $22 \text{ seconds}$ to strike $12$,how much time will it take to strike $6$? (in $\text{seconds}$)

How many times do the hands of a clock point towards each other in a day?

How often are the hands of a clock at a right angle every day (in $\times$)?

$A$ wall clock gains $2$ minutes in $12$ hours,while a table clock loses $2$ minutes every $36$ hours. Both are set right at $12$ noon on Tuesday. The correct time when both show the same time next would be

If a clock started at noon,then the angle turned by the hour hand at $3:45\, PM$ is (in $^{\circ}$)