Which of the following do hindus and buddhists have in common?

1.both religions are prevalent in china.
2.both worship the god krishna.
3.the hearths of both religions are in india.
4.both share a belief in heaven.
5.both have a caste system.

3.The hearths of both religions are in India.

Explanation:

India is home to many religions, which have flourished under the patronage of different dynasties. The diversity of India made the emperors to support and extend patronage to more than one religion to wider their legitimacy base. Both Hinduism and Buddhism are originated in India. While Hinduism restricted to India and Nepal, Buddhism has adopted in many countries of Southeast Asia and China is one of them.

byzantine empire is the answer i think you are looking for.

hope this : )