Two bulbs: 100 W and 200 W (with same rated voltage) are connected in parallel to a voltage source. Then:

$P=\frac{V^2}{R}\Rightarrow R\propto \frac{1}{P}$

Resistance of 100 W bulb is greater and in parallel, both the bulbs have same potential.

Option (a) is correct. Option (d) is wrong.

$V=I_1{R}_1=I_2{R}_2$

and so current in 100 W bulb will be smaller.

Option (b) is wrong. Option (c) is correct.