2015 · Q91
A clock is started at noon. By 10 minutes past 5, through what angle, the hour hand moves ?
Elementary MathematicsTrigonometry
- A160°
- B145°
- C150°
- D155°
Explanation
This tests clock-angle mechanics. The hour hand turns 360° in 12 hours, i.e. 0.5° per minute. From noon to 5:10 is 5 hours 10 minutes = 310 minutes, so the hand moves 310 × 0.5° = 155°. Option (c) 150° is the trap from counting only the 5 full hours and ignoring the extra 10 minutes. Hence option (d).