Problem: Dreyfus writes that after the Phagmodrupa lost its centralizing power over Tibet in 1434, several attempts by other families to establish hegemonies failed over the next two centuries until 1642 with the 5th Dalai Lama's effective hegemony over Tibet.
What year did the 5th Dalai lama start to dominate over Tibet?
The answer is the following: 1642

Problem: Submission was initially a large factor in professional wrestling, but following the decline of the submission-oriented catch-as-catch-can style from mainstream professional wrestling, the submission largely faded until the rise of the legitimate sport of mixed martial arts. Despite this, some wrestlers, such as Chris Jericho, The Undertaker, Ric Flair, Bret Hart, Kurt Angle, Ken Shamrock, Dean Malenko, Chris Benoit, and Tazz, became famous for winning matches via submission. A wrestler with a signature submission technique is portrayed as better at applying the hold, making it more painful or more difficult to get out of than others who use it, or can be falsely credited as inventing the hold (such as when Tazz popularized the kata ha jime judo choke in pro wrestling as the "Tazzmission").
What legitimate sport related to wrestling began to become popular?
The answer is the following: mixed martial arts

Problem: Nanjing is one of the most beautiful cities of mainland China with lush green parks, natural scenic lakes, small mountains, historical buildings and monuments, relics and much more, which attracts thousands of tourists every year.
What type of buildings attract tourists to Nanjing?
The answer is the following: historical buildings

Problem: In ancient times, the trading and colonizing activities of the Greek tribes and city states spread the Greek culture, religion and language around the Mediterranean and Black Sea basins, especially in Sicily and southern Italy (also known as Magna Grecia), Spain, the south of France and the Black sea coasts. Under Alexander the Great's empire and successor states, Greek and Hellenizing ruling classes were established in the Middle East, India and in Egypt. The Hellenistic period is characterized by a new wave of Greek colonization that established Greek cities and kingdoms in Asia and Africa. Under the Roman Empire, easier movement of people spread Greeks across the Empire and in the eastern territories, Greek became the lingua franca rather than Latin. The modern-day Griko community of southern Italy, numbering about 60,000, may represent a living remnant of the ancient Greek populations of Italy.
What other close by countries have been greatly influenced by the Greek way of life ?
The answer is the following:
Sicily and southern Italy (also known as Magna Grecia), Spain, the south of France and the Black sea coasts.