The rational numbers lying between 1/3 and 3/4 are :

Answer: Option A

$$\begin{array}{rl}& \frac{1}{3}=0.333\\ & \frac{3}{4}=0.75\\ & \frac{117}{300}=0.39\\ & \frac{287}{400}=0.7175\\ & \frac{95}{300}=0.316\\ & \frac{301}{400}=0.7525\\ & \frac{99}{300}=0.33\\ & \frac{97}{300}=0.323\\ & \frac{299}{500}=0.598\end{array}$$
Clearly, each one of 0.39 and 0.7175 lies between 0.333 and 0.75
So, $$\frac{117}{300}$$ and $$\frac{287}{400}$$ lie between $$\frac{1}{3}$$ and $$\frac{3}{4}$$