Question

The angle between hands of a clock when the time is $4 : 25 \,AM$ is

• A. $ 17 \frac{1^\circ}{2} $
• B. $ 14 \frac{1^\circ}{2} $
• C. $ 13 \frac{1^\circ}{2} $
• D. $ 12 \frac{1^\circ}{2} $

Answer 1

Answer: (A)

Angle traced by the hour hand in 12 hours = $360°$
Angle traced by it in 4 hrs 25 mins i.e., $4 \frac{5}{12} $ hrs = $ \frac{53}{12}$ hrs
$= \left(\frac{360}{12} \times \frac{53}{12}\right) = \frac{265}{2} = 132 \frac{1}{2}^{\circ} $
Angled traced by it in 25 minutes
$= \frac{360}{60} \times 25 =150^{\circ} $
Required angle $= \left(150 -132 \frac{1}{2}\right)^{\circ} = 17 \frac{1}{2}^{\circ}$