Question Bank - General Aptitude

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At what time between 6 a.m. and 7 a.m. will the minute hand and hour hand of a clock make an angle closest to 60°?

A.
6 : 22 a.m
B.
6 : 27 a.m.
C.
6 : 38 a.m
D.
6 : 45 a.m

Solution:

1 Rotation of clock consists of 360oIn 1 hour, minute hand covers 360o60 minutes ? 360o1 minute ? 6oTherefore, the minute hand covers 6o in 1 minute.In 12 hour, hours hand covers 360o1 hour ? 30o60 minutes ? 30o1 minute ? 0.50Therefore, the hour hand covers 0.5o in 1 minute.Option 1:22 minutes will move 110 of an hour hand2 minutes will move 120 of a minutes handAngle covered:(4 to 5) + (5 to 6) + (6 to 7)(30 - 2× 6)o + 30o + (22 × 0.5)o18o + 30o + 110 = 59oThis is closest to 60o

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