Question

What is the larger angle between the hour and minute hands of a clock that reads 7:00 AM?

• A. ${150}^{\circ }$
• B. ${180}^{\circ }$
• C. ${210}^{\circ }$
• D. ${240}^{\circ }$

Answer 1

The correct option is C ${210}^{\circ }$

The angle between any two consecutive numbers on the clock is $\frac{360}{12}={30}^{\circ }.$

There are seven ${30}^{\circ }$ angles in the given angle as shown below:



$\therefore$ The angle made by the hands of the clock is $7\times {30}^{\circ }={210}^{\circ }.$