The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is
30°
35°
37.5°
40°
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2018
– The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360/720).
– At 3:10, the time is 3 hours and 10 minutes past 12 o’clock.
– Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o’clock mark.
– Position of the hour hand: At 3 hours and 10 minutes, the hour hand’s position relative to 12 o’clock is (3 hours * 30 degrees/hour) + (10 minutes * 0.5 degrees/minute) = 90 + 5 = 95 degrees from the 12 o’clock mark. (Note: Each hour mark is 30 degrees apart: 360/12 = 30).
– The angle between the hands is the absolute difference between their positions: |95° – 60°| = 35°.