SSC CPO SI and ASI Model Paper 2

Question : 133 of 200

Marks: +1, -0

At what time do both hands of a clock meet between 6:00 and 7:00?

6:39:42
6:32:44
6:47:40
6:25:46

Solution:

(2) At 6 o’clock, the angle betweenboth the hands of a clock is 180°.
In ‘t’ minutes, the hour hand is at(180 + 0.5t)° and the minute handis at 6t°
They should be meeting each other,so 180 + 0.5t = 6t
⇒ 5.5t = 180
⇒t =

32 4/5.5

min = 32 min.
44 secSo the hands of the clock meet at6:32:44.

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