In the year $1996$,the Republic day was celebrated on Friday. On which day was the Independence day celebrated in the year $2000$?

$A$ 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

My watch was $3$ minutes slow at $5$ pm on Tuesday and it was $5$ minutes fast at $11$ pm on Wednesday. When did it give the correct time?

Find the angle between the two hands of a clock at $30$ $minutes$ past $4$ $O$'clock. (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 $seconds$)

How often between $11$ $O$'clock and $12$ $O$'clock are the hands of a clock in integral number of $minutes$ apart (in $\times$)?