Question

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°

Answer 1

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.