Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Clocks > Miscellaneous

1. The reflex angle between the hands of a clock at 10.25 is:

A. 180º

B. $192 {\frac{1}{2}}^{\circ}$

C. 195º

D. $197 {\frac{1}{2}}^{\circ}$

Solution:

Angle traced by hour hand in

\frac{125}{12}

hrs

\begin{aligned} = {(\frac{360}{12} \times \frac{125}{12})}^{\circ} \\ = 312 {\frac{1}{2}}^{\circ} \end{aligned}

Angle traced by minute hand in 25 min

\begin{aligned} = {(\frac{360}{60} \times 25)}^{\circ} \\ = 150^{\circ} \end{aligned}

\begin{aligned} ∴ Reflex angle \\ = 360^{\circ} - {(312 \frac{1}{2} - 150)}^{\circ} \\ = 360^{\circ} - 162 {\frac{1}{2}}^{\circ} \\ = 197 {\frac{1}{2}}^{\circ} \end{aligned}

You must login to add comments. Login now.