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# How to Solve Clock Problems

1. At what time between 2 and 3 O’clock, are the hands of a clock together?
a. 2 hours 11(10/11) minutes
b. 2 hours 10(10/11)  minutes
c. 3 hours 11(10/11)  minutes
d. 3 hours 10(10/11)  minutes

2. At what time between 4 and 5 O’clock will the hands of clock be at right angles.
a. 4 hours 38 (2/11) minutes
b. 4 hours 5 (2/11) minutes
c. 5 hours 38 (2/11) minutes
d. 5 hours 5 (2/11) minutes

3. Find the angle between the two hands of a clock at 4.30 pm.
a. 45 Degrees
b. 30 Degrees
c. 60 Degrees
d. None of these

4. A clock is set right at 4am., the clock loses 20 min in 24 hours. What will be the true time when the clock indicates 3am., on 4th day?
a. 4am
b. 5am
c. 3am
d. 4pm

5. How many times are the hands of a clock at right angles in a day?
a. 24 times
b. 48 times
c. 22 times
d. 44 times

6. A watch which gains uniformly, is 5 min slow at 8 O’clock in the morning on Sunday, and is 5 min 48 sec fast at 8 pm on following Sunday. When was it correct?
a. 20 min past 7 pm on Tuesday
b. 20 min past 7 pm on Wednesday
c. 10 min past 7 pm on Tuesday
4. 10 min past 7 pm on Wednesday

7. How many times do the hands of a clock point opposite to each other in 12 hours.
a. 6 times
b. 10 times
c. 11 times
d. 12 times

8. If the time in a clock is 7 hours 15 minutes, then what time does it show on the mirror?
a. 4 hours 50 minutes
b. 4 hours 40 minutes
c. 4 hours 35 minutes
d. 4 hours 45 minutes

9. A watch, which gains uniformly is 2 min slow at noon in Monday, and is 4 min 48 seconds fast at 2 pm on the following Monday. When was it correct?
a. 2 pm on Tuesday
b. 2 pm on Wednesday
c. 3 pm on Thursday
d. 1 pm on Friday

10. How many times in a day are the hands of a clock straight?
a. 48 times
b. 24 times
c. 44 times
d. None of these

11. What time does the clock show when the hour hand is between 3 and 4 and the angle between the two hands of the clock is 50 Degrees ?
a. 8 (5 /11) min past 3
b. 2 (55 /11)  min past 3
c. 2 (46 /11)  min past 3
d. both a and b

12. A boy observes the reflection of a wall clock in a mirror. The time observed by the boy in the mirror is 4 hours 20 minutes. What is the actual time shown on the clock?
a. 7 hours 15 minutes
b. 1 hours 50 minutes
c. 7 hours 40 minutes
d. 7 hours 35 minutes

13. How many degrees does an hour-hand move in 10 minutes?
a. 10 Degrees
b. 20 Degrees
c. 15 Degrees
d. 5 Degrees

14. How many degrees will the minute-hand move, in the same time in which the second hand moves 300 Degrees ?
a. 6 Degrees
b. 5 Degrees
c. 4 Degrees
d. 10 Degrees

15. How many degree will the minute-hand move in the same time, in which the hour-hand moves 10 Degrees?
a. 40 Degrees
b. 80 Degrees
c. 120 Degrees
d. 160 Degrees

16. What is the angle between the two hands of a clock, when the time is 9 hours 20 minutes.
a. 110 Degrees
b. 210 Degrees
c. 150 Degrees
d. 270 Degrees

17. What is the angle between the two hands of a clock, when the clock shows 5 hours?
a. 150 Degrees
b. 130 Degrees
c. 120 Degrees
d. 110 Degrees

17. A clock is set right at 8 am. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 pm on the following day?
a. 28hrs
b. 28hrs 48min
c. 28hrs 42min
d. None of these