Question

Find the smaller angle between the hour and minute hands of a clock for the time shown in the figure.

• A. ${110}^{\circ }$
• B. ${130}^{\circ }$
• C. ${120}^{\circ }$
• D. ${115}^{\circ }$

Answer 1

The correct option is C

${120}^{\circ }$

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

There are 4 such ${30}^{\circ }$ angles in the angle made by the minute and the hour hands of the clock.

$\therefore$ The angle made by the hands of the clock is $4\times {30}^{\circ }={120}^{\circ }.$