Clocks
Important Instructions
In a minute, how many degrees hour hand traverses?
Answer: A
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A watch gain 8 seconds in 4 minutes and was set right at 4 AM. What time will it show at 11 PM on the same day?
Answer: C
8 Seconds in 4 Minutes mean 120 Seconds (or 2 Minutes) in one hour.
From 4AM to 11PM (on the same day) = 19 hours
So, total seconds gain in 19 hours = 19 X 120 (Seconds gain per hour) = 2280 Seconds.
Now, 2280 Seconds = 38 Minutes (i.e. 2280/19 = 38)
Thus incorrect clock will show 11:38PM at 11PM.
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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
Answer: C
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How much does a watch gain or lose per day, if its hands coincide every 64 minutes?
Answer: D
55 min. spaces are covered in 60 min.
60 min. spaces are covered in (60/55 × 60) min = 65 5/11 min
Loss in 64 min = (65 5/11 - 64) = 16/11 min
Loss in 24 hrs= (16/11 × 1/64 × 24 × 60) min = 32 (8/11) min.
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A watch which gains uniformly in 5 min slows at 8 o? clock in the morning on Sunday and it is 5 min 48 sec fast at 8 pm on the following Sunday. When was it correct?
Answer: C
Time from 8 am on Sunday to 8 pm on following Sunday = 7 days 12 hours
= 180 hours
∴ The watch gains (5 + 29/5) min or 54/5 min in 180 hours.
Now 54/5 minutes are gained in 180 hours.
∴ 5 minutes are gained in [180*(5/54)*5] hour = 83 hr 20 min
= 3 days 11 hours 20 minutes
Watch is correct 3 days 11 hours 20 minutes
after 8 AM of Sunday i.e. 7:20PM on Wednesday.
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An accurate clock shows 10 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 6 o'clock in the evening?
Answer: D
Hour hand travels 30 degree per hour.
For, 8 hours, 8 x 30 = 240
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How many times do the hands of a clock coincide in a day?
Answer: C
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).
AM
12:00
1:05
2:11
3:16
4:22
5:27
6:33
7:38
8:44
9:49
10:55
PM
12:00
1:05
2:11
3:16
4:22
5:27
6:33
7:38
8:44
9:49
10:55
The hands overlap about every 65 minutes, not every 60 minutes.
The hands coincide 22 times in a day.
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Ramesh wants to set the clock hands 8 minutes apart between 10 o'clock and 11 o'clock. What would be the time shown in the clock if he does so?
Answer: B
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If it is 09:20, then what is the angle between the hands of the clock?
Answer: A
At 9 o’ clock, the hour hand is at 270 degrees from the vertical. In 20 minutes,
Hour hand = 270 + 20*(0.5) = 270 + 10 = 280 (The hour hand moves at 0.5 dpm)
Minute hand = 20*(6) = 120 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 280 – 120 = 160 degrees.
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How many times in a day, are the hands of a clock in straight line but opposite in direction.
Answer: B
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