Number of times $29^{th}$ day of the month occurs in $400$ consecutive years is

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

January $7, 1992$ was a Tuesday. Find the day of the week on the same date after $5$ years,i.e.,on January $7, 1997$?

Find at what time between $8$ and $9$ o'clock will the hands of a clock be in the same straight line but not together?

An accurate clock shows $8$ o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows $2$ o'clock in the afternoon (in $^{\circ}$)?

$A$ watch which gains uniformly is $6$ minutes slow at $4$ $p.m.$ on a Sunday and $10 \frac{2}{3}$ minutes fast on the following Sunday at $8$ $p.m.$ During this period,when was the watch correct?