Question

At $3.40$, the hour hand and the minute hand of a clock form an angle of:

• A. ${120}^o$
• B. ${125}^o$
• C. ${130}^o$
• D. ${135}^o$

Answer 1

The correct option is C ${130}^o$

Angle traced by hour hand in $12hrs={360}^o$.
Angle traced by it in $\frac{11}{3}hrs={(\frac{360}{12}\times \frac{11}{3})}^o={110}^o$
Angle traced by minute hand in $60min={360}^o$.
Angle traced by it in ${40min.=(\frac{360}{60}\times 40)}^o={240}^o$.
$\therefore$ Required angle ${(240-110)}^o={130}^o$.