What will be the angle between hour hand and minute hand of the clock at 7:15?

127.5°

The correct answer is Option (3) → 127.5°

Step 1: Formula for angle

$\text{Angle} = \left| 30H - \frac{11}{2} M \right|$

Where:

• H = hour
• M = minutes

Step 2: Substitute values

• H = 7
• M = 15

$\text{Angle} = \left| 30 \cdot 7 - \frac{11}{2} \cdot 15 \right|$

$= \left| 210 - 82.5 \right|$

$= 127.5^\circ$