CUET Preparation Today
A clock was set correct at 7 PM. It loses 15 min/h. What will be the angle between the hour and minute hands of the clock after two hours? |
$67\frac{1}{2}°$ 75° 30° 210° |
75° |
The correct answer is Option (2) → 75° To solve this, we first need to determine what time the clock actually shows after two hours of "real" time. Calculate the time shown on losing clock
In a normal clock, the time would be 9:00 PM. Since this clock lost 30 minutes, the time it shows is: 8:30 PM Calculate the angle at 8:30 To find the angle between the hands at 8:30, we use the standard clock angle formula: Angle = |30H - 5.5M| Where H is hours and M is minutes.
Angle = |30(8) - 5.5(30)| Angle = |240 - 165| Angle = 75° |
