Clocks
Important Instructions
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Answer: D
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In 6 minutes, how many degrees minute hand traverses?
Answer: D
In a minute, minute hand traverses 6° degree. So in 6 minutes, it traverses 6 X 6° = 36°.
Therefore answer is 36°.
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How many times are the hands of a clock at right angle in a day?
Answer: C
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times
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My watch, which gains uniformly, is 2 min and show at noon on Sunday, and is 4 min 48 seconds fast at 2PM on the following Sunday when was it correct?
Answer: D
At noon on Sunday watch gains 2 Minutes.
And at 2PM on following Sunday it is 4 Minutes 48 Seconds fast.
So, it gains 6 Minutes 48 Seconds i.e. 2 Minutes + 4 Minutes 48 Seconds (total 408 Seconds) in 170 Hours (Hours from Sunday Noon (12PM) to following Sunday 2PM)
Therefore, watch gains 120 Seconds (2 Minutes) in 170*120/408 = 50 Hours
50 Hours = 2 Days 2 Hours
Thus, Watch was correct after 2 days 2 hours from Sunday noon that is Tuesday 2PM.
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A correct clock shows 9 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?
Answer: D
Hour hand traverses 30° per hour.
For 6 hours, 6 x 30 = 180°
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An accurate clock is started at noon. By 10 minutes past 3, the hour hand has turned through:
Answer: B
At 3 o’ clock, the hour hand is at 90 degrees from the vertical.
In 10 minutes,
Hour hand = 90 + 10 x (0.5) = 95 (The hour hand moves at 0.5 dpm)
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At what angle are the hands of a clock inclined at 15 minutes past 4?
Answer: D
At 4 o’ clock, the hour hand is at 120° from the vertical.
In 15 minutes,
Hour hand = 120 + 15 x (0.5) = 120 + 7.5 = 127.5° (The hour hand moves at 0.5 dpm)
Minute hand = 15 x (6) = 90° (The minute hand moves at 6 dpm)
Difference or Angle between the hands = 127.5 – 90 = 37.5°
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At what time, in minutes, between 3 o'clock and 3.25 pm, both the needles of the clock will coincide each other?
Answer: D
At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.
To be coincident, it must gain 15 min. spaces.
55 min. are gained in 60 min
15 min. spaces are gained in 60/55 x 15 = 16 4/11 min
The hands are co-incident at 16 (4/11) past 3.
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Rohit has a watch that gains 5 seconds in 3 minutes. It was set right at 9 a.m. in the morning.
In the afternoon of the same day, when the watch indicated 4 o'clock, how much time will the watch have gained?
Answer: C
Time from 9 a.m. to 4 p.m. = 7 hrs
The clock gains 5 secs in 3 min
In 60 min, it will gain, (60 x 5) / 3 = 100 sec
i.e. the clock gains 100 seconds in one hour
In 7 hours, it will gain 700 sec.
700/60 mins = (11)2/3 mins
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A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
Answer: B
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