Question

Aclock was set correct at 12 O'clock. It loses 10 minutes per hour. What will be the angle between the hour and minute hands of the clock after one hour?

• A. ${60}^{\circ }$
• B. ${90}^{\circ }$
• C. ${105}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is A ${60}^{\circ }$

In 1 hour it losses 10 minutes.

So, after 1 hour it makes only 50 minutes

So, angle between hour and minutes hand is

$\begin{array}{c}={360}^0-\frac{50}{60}\times {360}^0={60}^0\\ ={360}^0-{300}^0={60}^0\end{array}$