What is the angle between the two hands of a clock when the time shown by the…
2025
What is the angle between the two hands of a clock when the time shown by the clock is 6.30 p.m. ?
- A.
15
- B.
30
- C.
60
- D.
90
Attempted by 300 students.
Show answer & explanation
Correct answer: A
Approach: compute the angle of each hand from 12 o'clock and take their difference.
Minute hand: at 30 minutes → angle = 30 × 6° = 180°.
Hour hand: at 6 hours 30 minutes → angle = 6 × 30° + 30 × 0.5° = 180° + 15° = 195°.
Difference: |195° − 180°| = 15°. The smaller angle between the hands is min(15°, 360° − 15°) = 15°.
Final answer: 15°