Suresh was born on October $4, 1999$. Shashikanth was born $6$ days before Suresh. The Independence Day of that year fell on a Sunday. On which day was Shashikanth born?

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?

At what time (in $minutes$) between $3$ o'clock and $4$ o'clock,will both the needles of a clock coincide with each other?

$A$ clock gains $10$ minutes in every $24$ hours. It is set right on Monday at $8$ am. What will be the correct time on the following Wednesday,when the watch indicates $6$ pm?

The time taken by a clock between two single strikes is $2 \text{ seconds}$. What is the time taken to complete its strikes at $10$ o'clock? (in $\text{seconds}$)