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Question

At what time between 6 a.m. and 7 a.m. will the minute hand and hour hand of a clock make an angle 59 ?


Your Answer
A
6:21 a.m.
Correct Answer
B
6:22 a.m.
Your Answer
C
6:23 a.m.
Your Answer
D
6:24 a.m. 

Solution

The correct option is B 6:22 a.m.
At 6:00 a.m., the initial angle between minute and hour hand is 180.
We know that the angle moved by hour hand in 1 minute is (3060) and angle moved by minute hand in 1 minute is (36060).
 
Let us assume that after x minutes, the angle is 59.
59=180(36060)x+(3060)x 
59=1806x+0.5x
x=22 min 
Therefore, required time is 6:22 a.m.

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