A clock is started at noon. By 20 minutes past 6, the hour hand has turned through:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 190°
The hour hand goes once round the dial, 360° in 12 hours, so it turns 30° every hour and \(\frac{30}{60}=\frac{1}{2}\) degree every minute.
Time from 12 noon to 6:20 = 6 h 20 min = 380 min
Angle turned = \(380\times\frac{1}{2}=190^\circ\)
Tip: The hour hand moves half a degree a minute and the minute hand 6° a minute; these two rates settle most clock-angle questions.