India got independence on August $15, 1947$. What was the day of the week?

The watch which gains uniformly is $2$ minutes slow at noon on Sunday and is $4$ minutes $48$ seconds fast at $2$ $pm$ on the following Sunday. When was the watch correct?

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

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 $^{\circ}$)?

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

The first Republic Day of India was celebrated on $January\, 26, 1950$. What was the day of the week on that date?