# If a clock show time as 7 hours 30 minutes then what will be the angle between hour hand and minute hand?

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If a clock show time as 7 hours 30 minutes then what will be the angle between hour hand and minute hand?
1. 120°
2. 95°
3. 75°
4. 45°

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Correct Answer - Option 4 : 45°

Time = 7:30

$Angle = θ = |(60 × hour - 11 × minute)/2|$

And another angle = $(360 - θ)°$

$∴ θ = |(60 × 7 - 11 ×30)/2|$

$= ((420- 330)/2)°$

$= (90/2)°$

$= 45°$

And another angle = $(360 - θ)° = (360 - 45)° = 315°$

Hence, ‘45°’ is the correct answer.