Question

At what time is the angle between the hands of a clock equal to ${30}^o$ ?

• A. $1:00$
• B. $11:00$
• C. $2:00$
• D. $12:00$

Answer 1

Answer: (A), (B)

The correct options are
A $1:00$
B $11:00$

A clock is a circle made of ${360}^{\circ }$, and that each hour represents an angle and the separation between them is $\frac{{360}^{\circ }}{12}={30}^{\circ }$

Hence,

At $1:00$ the angle between the hands is ${30}^{\circ }$, minute hand pointing at 12 and hour hand at 1.

Similarly

At $11:00$ the angle between the hands is ${30}^{\circ }$

At $2:00$ the angle between the hands is ${60}^{\circ }$

At $12:00$ the angle between the hands is $0^{\circ }$