Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is:

After redrawing

$\text{We can say it\hspace{0.17em}is a\hspace{0.17em}balanced wheatstone bridge}$

$\text{We can remove resistor DE}$

$\text{⇒\hspace{0.17em}Effective resistance=}\left(R+R\right)\left|\right|\left(R+R\right)=\frac{\left(2R\right)\left(2R\right)}{2R+2R}=R$