The rulers of the Han Dynasty set up a system to choose government officials of the basis of?

The correct answer to this open question is the following.

Although there are not options provided, we can say that the rulers of the Han Dynasty set up a system to choose government officials on the basis of merit, knowledge, and experience, rather than the mere right of birth.

That is why government officials were chosen during the Han dynasty, considering that those factors had more merit to occupy an office in the government. So the Hang dynasty where the first to introduce the idea of having a civil service test or examination to choose their officials. This was the best way to select the right kind of people to lead the nation. They offered education to people that aspired to be one of those officials, understanding that this would be a privilege, not a right.