Clock

A boy observes the reflection of a clock in a mirror. The time observed by the boy in the mirror is 8 hours 45 minutes. What is the actual time shown in the clock?

A watch which gains 10 seconds in 5 minutes was set correct at 9 a.m. When the watch indicated 20 minutes past 7 o’clock the same evening, the true time is:

A doctor said to his compounder “I go to see the patients at their residence after every 3:30 hours. I have already gone to the patient 1:20 hours ago and next time I shall go at 1.40 pm”. At what time this information was given to the compounder by the doctor?

A clock is set right at $8$ a.m. The clock gains $10$ minutes in $24$ hours. What will be the correct time when the clock shows $1$ p.m. next day?

Jimmy saw the time while going to the tennis court. He saw the hour hand is 20° away from 4. After he returned from tennis court, he noticed that the hour hand is 20° away from 4. If he took ten minutes to go to tennis court and he walked at the same speed while going to the tennis court and while returning, how much time did he spent at the tennis court?

A doctor said to his compounder "I go to see the patients at their residence after every 3 hours 30 minutes. I have already gone to the patient 1 hour 20 minutes ago and next time I shall go at 1:40 P.M." At what time this information was given to the compounder by the doctor?

A watch gains 10 s in 5 min was set correct at 9.00 am. When the watch indicated 20 min past 7.00 pm in the same evening, the correct time is

How many times do the hour and the minute hands of a clock overlap in 24 hours?

How many times in a day are the hands of a clock pointing opposite to each other?

At what time between 2 pm and 3 pm, will the hour and minute hands of a clock point in opposite directions (diametrically opposite)?