Question

At the time 4:15, what is the angle between the minute hand and the hour hand of a clock?

• A. 40⁰
• B. 37.5⁰
• C. 30⁰
• D. 52.5⁰
• E. 67.5⁰

Answer 1

The correct option is B

37.5⁰

Angle traced by hour hand in $\frac{17}{4}$ hrs = ${(\frac{360}{12}\times \frac{17}{4})}^o$ = 127.5${}^o$

Angle traced by minute hand in 15 min. = ${(\frac{360}{60}\times 15)}^o={90}^o$

$\therefore$ Required angle = (127.5 – 90)${}^o$ = 37.5${}^o$.