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What is the smaller angle between the hour hand and the minute hand of the clock shown?

Competition practiceClocks

A0°
B20°
C5°
D10°

Step-by-Step Solution

At 4:20 the hour hand is at

30 \times 4 + \frac{20}{2} = 13 0^{\circ}

and the minute hand at

6 \times 20 = 12 0^{\circ}

from 12. The angle is

13 0^{\circ} - 12 0^{\circ} = 1 0^{\circ}

.

Answer: D) 10°

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