At what time between 7 and 8 o'clock will the angle between the two hands of a clock be 0°?

- Total number of questions : 15.
- Time alloted : 20 minutes.
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1

At what time between 7 and 8 o'clock will the angle between the two hands of a clock be 0°?

2

A clock gains uniformly and is slow by 8 minutes at 10 a.m. on Sunday and is 6 minutes 24 seconds fast at 10 p.m. on the following Sunday. When did the clock show correct time?

3

The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much the clock gain or lose in a day?

4

Anoop's watch, which gains uniformly, is 2 minutes slow at noon on Sunday, and is 4 minutes and 48 seconds fast at 2 p.m. on the following Sunday. When was it correct?

5

The hands of a clock coincide after every 66 min. of correct time. How much is the clock fast or slow in 24 hours?

6

At what time between 4 and 5 are the hands of a clock 4 minutes apart?

7

What is the angle covered by the minute-hand in 27 minutes?

8

What is the angle covered by the hour-hand in 48 minutes?

9

For how many times, the minute hand of a clock will be opposite to the hour hand from 3:00 p.m on Friday to 11:00 a.m on the subsequent Sunday?

10

The reflection of a wall clock in a mirror shows the time as 10 hours 23 minutes, then what is the actual time in the clock?

11

Three clocks -Ci, C2, and C3 show correct time at 3:00 a.m. Clock C1, uniformly loses 4.5 minutes in an hour, clock C2 uniformly loses 1.5 minutes in an hour and clock C3 uniformly gains 2.5 minutes in an hour. At 11:00 a.m on the same day, by how much time will C1 and C2' C2 and C3' C1 and C3 differ respectively?

12

A watch which gains uniformly was observed to be 5 minutes slow at 6:00 a.m on a Tuesday. On the subsequent Monday at 12:00 noon, the watch was 20 minutes faster. When did the watch show the correct time?

13

A clock which loses uniformly was observed to be 5 minutes fast at 4:00 p.m on a Friday. On the subsequent Sunday at 8:00 a.m, the watch was 3 minutes slow. When did the watch show the correct time?

14

15

Two clocks are set to show the correct time at 3:00 am. The clocks uniformly lose 3 minutes and 4 minutes respectively in an hour. If the clock which loses 3 minutes per hour shows the time as 8:42 a.m on the same day, then what time does the other clock show?

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