The correct answer is (b), the brighter bulb.
The brightness of a light bulb is proportional to the amount of current that flows through it. The amount of current that flows through a light bulb is proportional to the voltage across it, divided by the resistance of the light bulb. So, if two light bulbs have the same voltage across them, the light bulb with the lower resistance will have a higher current and will be brighter.
In the case of the two bulbs in the house, one glows brighter than the other. This means that the brighter bulb has a lower resistance than the dim bulb.