Question

At $4:24$ p.m., how many degrees has the hour hand of a clock moved from its position at noon?

• A. ${135}^{\circ }$
• B. ${134}^{\circ }$
• C. ${133}^{\circ }$
• D. ${132}^{\circ }$

Answer 1

The correct option is D ${132}^{\circ }$

At noon i:e $12:00$P.M to $4:24$ P.M total minutes

$=$ $4\times 60+24=240+24=264$

We know that in $12$ hours a clock made angle $=$ ${360}^0$.

Then angle made by clock in one minute $=\frac{360}{12\times 60}={\frac{1}{2}}^0$

So angle made by clock in $264$ minutes= $264\times \frac{1}{2}={132}^0$