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At what time between 2 and 3 O'clock, the hands of a clock coincide ?

A) 1 10/11 minutes past 2 B) 1 10/11 minutes past 3

C) 1 11/10 minutes past 3 D) 11 10/11 minutes past 2

1 Answer

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Answer: A) 1 10/11 minutes past 2

Explanation:

Since, in one hour, two hands of a clock coincide only once, so, there will be value.
Required time T = 211(H×30 + Ao)T = 211H×30 + Ao minutes past H.
Here H - initial position of hour hand = 2 (since 2 O'clock)
A° = Required angle = 0° (Since it coincides)

 

T = 211(2×30 + 0o)T = 2112×30 + 0o minutes past 2 

 

=> 1101111011 minutes past 2

 

 

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