The reflex angle between the hands of a clock at 10.25 is
Answer: A
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Jaggu set an alarm on his clock for Monday 11 am. He set his clock correctly on Sunday 1 am. He was unaware that the clock gains 20 min every 24 hours. When his alarm went off what was the actual time?
Answer: D
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When will the clock’s hands be in a straight line but pointing in opposite directions between 2 am and 3 am?
Answer: A
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A clock is set right at 5 am the clock loses 16 min in 24 hours. What will be the right time when the clock indicates on 3 pm the 8th day?
Answer: B
Time from 5 am On a day to 3 pm on 8th day = 178 hours
Now 23 hrs 44 min. of this clock = 24 hours of correct clock
365/15 hrs of this clock = 24 hours of correct clock
178 hrs of this clock = (24 × 15/356 × 89) hrs of correct clock
= 180 hrs of correct clock.
So, the correct time is 5 pm.
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At what time between 5.30 & 6 will the hands of a watch be at right angle?
Answer: A
At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand must gain 40 min
55 min. spaces are gained in 60 min.
40 min. spaces would be gained in (60/55 × 40) min. = 43 7/11 min.
Required time = 43(7/11) min. past 5.
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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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What is the angle between the hands of the clock at 3:40?
Answer: C
At 3 o’ clock, the hour hand is at 90 degrees from the vertical. In 40 minutes,
Hour hand = 90 + 40*(0.5) = 90 + 20 = 110 (The hour hand moves at 0.5 dpm)
Minute hand = 40*(6) = 240 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 240 – 110 = 130 degrees.
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When the time in the clock is 7.20 pm, then the angle between the hands of the clock is
Answer: C
At 7 o’ clock, the hour hand is at 210 degrees from the vertical.
In 20 minutes,
Hour hand = 210 + 20 x (0.5) = 220 (The hour hand moves at 0.5 dpm)
Minute hand = 20 x (6) = 120 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 220 - 120 = 100 degree
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How much does a watch lose per day, if its hands coincide ever 64 minutes?
Answer: A
55min spaces are covered in 60min
60 min. spaces are covered in (60/55 x 60) min= 65+5/11 min.
loss in 64min=(65+5/11)- 64 =16/11
Loss in 24 hrs (16/11 x 1/64 x 24 x 60) min= 32 8/11.
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How many times are the hands of a clock at right angles in 24 hours?
Answer: B
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.
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