The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

Q: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

Angle traced by hour hand in 13 3 hrs = 360 12 × 13 3 0 = 130 0 Angle traced by min. hand in 20 min = 360 60 × 20 0 = 120 0 Required angle = (130 - 120)º = 10º

0
10
30
60

Correct Answer: 10

Explanation:

Angle traced by hour hand in $\frac{13}{3}$ hrs = $\frac{360}{12} \times \frac{13}{3} 0$ = $1300$

Angle traced by min. hand in 20 min = $\frac{360}{60} \times 20 0$ = $1200$

Required angle = (130 - 120)º = 10º

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