Question

The angle between hands of a clock when the time is $4:25AM$ 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 $={\left(150-132\frac{1}{2}\right)}^{\circ }=17{\frac{1}{2}}^{\circ }$