The correct answer is the following.
The correct matches are:
Gupta Empire: people throughout the former empire continued to read Sanskrit literature.
Roman Empire: Christianity provided people with a sense of order and purpose amidst the chaos.
Han Empire: the population significantly declined after the constant war between the three kingdoms.
After the fall of the Gupta empire, people lived difficult times and peasants had to work so hard on the fields to make a living. Sanskrit remained the official language. Hinduism fortified people's beliefs and gave them hope.
After the fall of the Roman Empire, Roma lost most of its territories, the influence it had on them, diminished its political presence and as a result of these, economic problems aroused.
After the fall of the Han Dynasty, education continued to be important. Mathematics and science were an important component of education. The invention of powder was of much help for China.