At 3:40, the hour hand and the minute hand of a clock form an angle of:

Answer: Option C

$$\begin{array}{rl}& \text{Angle}\text{traced}\text{by}\text{hour}\text{hand}\text{in}12\text{hrs}\text{ = }\text{36}{\text{0}}^{\circ }\\ & \text{Angle}\text{traced}\text{by}\text{it}\text{in}\frac{11}{3}\text{hrs}\\ & ={\left(\frac{360}{12}\times \frac{11}{3}\right)}^{\circ }=110^{\circ }\\ & \text{Angle}\text{traced}\text{by}\text{min}\text{.}\text{hand}\text{in}60\text{min}\text{ = }\text{36}{\text{0}}^{\circ }\\ & \text{Angle}\text{traced}\text{by}\text{it}\text{in}\text{40}\text{min}.\\ & ={\left(\frac{360}{60}\times 40\right)}^{\circ }=240^{\circ }\\ & \therefore \text{Required}\text{angle}\\ & ={\left(240-110\right)}^{\circ }=130^{\circ }\end{array}$$