A clock loses 5 minutes every hour and was set right at 11AM on a Monday. When will it show the correct time again?
Answer: A
As mentioned in Key Point O, faulty clock will show correct time when it loses or gains 12 Hours.
In the given problem, clock loses 5 Minutes in an hour. So, 1 Minute lost in every 12 minutes (60 minutes / 5 minutes = 12 minutes).
Now, for losing 12 hours i.e. 720 Minutes(12 X 60 = 720) it will take 720 X 12 = 8640 Minutes = 144 Hours = 6 Days.
So, Clock will show correct time after 6 days from 11AM Monday.
Thus, Answer is 11AM on Sunday.
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How many times do the hands of a clock coincide in a day?
Answer: B
No answer description available for this question.
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The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
Answer: B
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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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A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Answer: A
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The reflex edge between the hands of a clock at 10.25 is:
Answer: D
Angle followed by hour hand in 125/12 hrs.=(360/12*125/12)°=625°/2
Edge followed by min. hand in 25 min. =(360/60*25°)= 150°
Reflex angle= 360°-(625/2-150)°= 360°-325°/2 = 395°/2
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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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How many times in a day, are the hands of the clock straight?
Answer: B
It has not been mentioned coincide or opposite of each other. So, we have to consider common scenario where the hands are in straight line that is either opposite or coincide of each other.
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At what time between 3 & 4 will the hands of a watch point in opposite directions ?
Answer: C
At 3 o'clock, the hands of the watch are 15 min. space apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand must gain 45 min. space (15 + 30 min)
55 min spaces are gained in 60 min.
45 min. spaces would be gained in (60/55 × 45) min.
Required time = 49 1/11 min. past 3.
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At what time between 7 and 8 will the hands of a clock be in the same straight line but, not together?
Answer: A
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
Minute hand must gain only 5 min. space.
55 min. spaces are gained in 60 min.
5 min. spaces would be gained in (60/55) x 5 = 5 (5/11) min
Required time = 5 (5/11) min past 7
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