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A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
1pm
12 pm
2 pm
11 pm
Answer with explanation
Answer: Option DExplanation
Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.
Now 23 hrs 44 min. of this clock = 24 hours of correct clock.
356/15 hrs of this clock = 24 hours of correct clock
89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.
= 90 hrs of correct clock.
So, the correct time is 11 p.m.
Workspace
The edge between the moment hand and the hour hand of a clock when the time is 4.20, is
10°
0°
20°
5°
Answer with explanation
Answer: Option AExplanation
Angle followed by hour hand in 13/3 hrs. =(360/12*13/3)°= 130° Point followed by min. hand in 20 min. = (360/60*20)°= 120° ∴ Required point = (130-120)°= 10°
Workspace
What when the time is 6:32, then what is the angle b/w the hour hand & the minute hand of a clock?
8°
12°
4°
2°
Answer with explanation
Answer: Option CExplanation
Formula used = θ = 30H – (11/2)M where, H= hours, M= minutes
H= 6 , M= 32
Required angle, θ = 30×6 – (11/2)32 = 4°
Workspace