A clock started at noon. By 10 minutes past 7, the hour-hand will move through _______.

Correct option is A

At 7:10, the hour hand will be between 7 and 8.
Hour hand travel 360° in 12 hours. So, 30° in one hour and 0.5° in 1 minute.
So,
Angle covered by hour hand in 7hr 10 min = ((7 × 30) + (10 × 0.5)) = (210 + 5) = 215°