Angle between minute hand and hour hand of a clock at 2:15 and 4:45 are J and K respectively. What is the absolute difference (in degrees) between J and K?
Show answer & explanation
Correct answer: B
Explanation
Angle in a clock =
|30h − 5.5m|
Time: 2:15
30 × 2 = 60
5.5 × 15 = 82.5
Angle = |60 − 82.5| = 22.5°
J = 22.5°
Time: 4:45
30 × 4 = 120
5.5 × 45 = 247.5
Angle = |120 − 247.5| = 127.5°
K = 127.5°
Difference between the two:
|J − K| = |22.5 − 127.5| = 105°
Correct Option: 105