$A$ clock takes $9$ seconds to strike $4$ times. In order to strike $12$ times at the same rate,the time taken is (in $seconds$)

At what time between $4: 30$ and $5$ will the hands of a clock be in a straight line?

How much does a watch gain or lose per day,if its hands coincide every $64$ minutes?

Two clocks are set right at $10 \text{ am}$. One gains $20 \text{ seconds}$ and the other loses $40 \text{ seconds}$ in $24 \text{ hours}$. What will be the true time when the first clock indicates $4 \text{ pm}$ on the following day?

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

March $5, 1999$ was a Friday. What day of the week was March $5, 2000$?