The correct answer to this open question is the following.
In the United States, we elect candidates whom we believe will best represent our interests in state capitals and in Washington, D.C. This is an example of a representative Republic or a representative Democracy.
In a direct democracy, people elect their representants that in the case of the United States are the legislators that form the Congress, divided into two chambers: the Senate or Upper chamber and the House of Representatives or lower chamber. Depending on if these are federal or state, people vote in these elections. On the other hand, the other type of democracy is a direct democracy, where people do not elect their representants but they vote directly on the kind of legislation they consider proper.
a); and c). During Chandragupta II reign, great impulse was given to arts and science. One of the main scholars of the time was Aryabhata, who came up with the concept of zero and discovered the ratio of pi. He also worked in demonstrating that the earth moves around the sun instead of otherwise.