At 8:30 am, the angle between the minute and hour hands is
70°
75°
80°
85°
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CISF-AC-EXE – 2017
– The hour hand moves 360° in 12 hours, or 30° per hour, or 0.5° per minute.
– The minute hand moves 360° in 60 minutes, or 6° per minute.
– At 8:30:
– The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o’clock mark is 30 minutes * 6°/minute = 180°.
– The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o’clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30°/hour) + (30 minutes * 0.5°/minute) = 240° + 15° = 255°.
– The angle between the hands is the absolute difference between their positions: |255° – 180°| = 75°.