Question

At 2:15 o'clock, the hour and minute hands of a clock form an angle of:

• A. ${30}^{\circ }$
• B. $5^{\circ }$
• C. $22\frac{1}{2}\circ$
• D. $7\frac{1}{2}\circ$

Answer 1

The correct option is C $22\frac{1}{2}\circ$

$\underset{\downarrow }{\underset{–}{2}}<2:15<\underset{\downarrow }{3}$' $O$ clock

$\left({60}^0\right)$ $\left({90}^0\right)$

when minute hand rotates $15$ min hour hand rotate $\frac{15}{60}\times {30}^0={7.5}^0$

So, angle at $2:15$ is $=({90}^0-({60}^0+{7.5}^0))={22.5}^0$