Answer
(b) Yes, if the material with the greater resistivity is used for a thicker wire.
Work Step by Step
We know that
$R = \frac{\rho* l}{A}$
Since $l$ is same for both.
Therefore, $R \propto \frac{\rho }{A}$
If both have same resistance, then
$\rho \propto A$
It means for having same resistance material with greater resistivity should be used for thicker wire.