-
The angle between the minute hand and hour hand of a clock when the time is 7 : 20 is equal to
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- 45°
- 90°
- 100°
- 120°
- 45°
Correct Option: C
As per the given in question ,
| At 7 : 20, Number of hours = 7 | = 7 | hours | ||
| 60 | 3 |
| Number of hours = | hours | |
| 3 |
The hour–hand traces 360° in 12 hours.
| ∴ Angle traced by hour hand in 22/3 hours = | × | = 220° | ||
| 12 | 3 |
∵ Minute hand traces 360° in 60 minutes.
| ∴ Angle traced by minute hand in 20 minutes = | × 20 = 120° | |
| 60 |
∴ Required angle = 220° – 120° = 100°