At what time clock will show 60˙ between 4'o clock to a 5'o clock? घडी में किस समय 4 से 5 के बीच में 60˙का कोण बनेगा?

At 4 o'clock, the hour hand is at 120° and minute hand at 0°. The angle between them is 120°. We need this to become 60°, meaning we need the angle to reduce by 60°. The relative speed between hour and minute hands is 5.5° per minute. Time = 60/5.5 = 120/11 = 10 10/11 minutes. But wait, the angle can be 60° in two ways: when hands are 60° apart approaching or separating. The first 60° occurs at 32 8/11 minutes past 4. Calculation: (120-60)/5.5 = 60/5.5 = 120/11 = 10 10/11 minutes for 60° separation from 120° starting point... but that would give 60° not 60°... Let me recalculate. For angle θ between hands at time t past 4: |30×4 - 5.5t| = 60. |120 - 5.5t| = 60. Case 1: 120 - 5.5t = 60 → 5.5t = 60 → t = 60/5.5 = 120/11 = 10 10/11. Case 2: 5.5t - 120 = 60 → 5.5t = 180 → t = 180/5.5 = 360/11 = 32 8/11. The answer is 4:32 8/11, which is option A.