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

$A$ man who went out between $3$ and $4$ and returned between $8$ and $9$ found that the hands of the watch had exactly changed places. He returned at

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

If the hands of a clock coincide every $65$ minutes (true time),how many minutes will the clock gain in $24$ hours?

If John celebrated his victory day on Tuesday,January $5, 1965$,when will he celebrate his next victory day on the same day?

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 $\text{seconds}$)