At what time (in PM), the angle between hour and minute hands of a clock will be 70 degrees?
Show answer & explanation
Correct answer: C
Explanation
Formula for the angle between hour and minute hands: Angle = | 30×H - (11/2)×M |
For Option 3 (5:40), H = 5 and M = 40
Angle = | 30×5 - (11/2)×40 |
Angle = | 150 - 1120 |
Angle = | 150 - 220 |
Angle = | -70 |
= 70 degrees
Conclusion: At 5:40 PM, the angle between the hour and minute hands is exactly 70 degrees.
Correct Answer: Option 3 (5:40)