Six equal resistances are connected between point  P, Q and R as shown in the fig. Then the net resistance will be maximum between

Let each resistance be r. Then,
${\mathrm{R}}_{\mathrm{PQ}}=\frac{5\mathrm{r}}{11},{\mathrm{R}}_{\mathrm{QR}}=\frac{4\mathrm{r}}{11}\text{ and }{\mathrm{R}}_{\mathrm{PR}}=\frac{3\mathrm{r}}{11}$
Therefore, the net resistance will be maximum between P and Q. It is important to mention that when the resistances are connected in  parallel, the equivalent is less than the minimum resistance