Problem: Torii Mototada (15391600) was a feudal lord in the service of Tokugawa Ieyasu. On the eve of the battle of Sekigahara, he volunteered to remain behind in the doomed Fushimi Castle while his lord advanced to the east. Torii and Tokugawa both agreed that the castle was indefensible. In an act of loyalty to his lord, Torii chose to remain behind, pledging that he and his men would fight to the finish. As was custom, Torii vowed that he would not be taken alive. In a dramatic last stand, the garrison of 2,000 men held out against overwhelming odds for ten days against the massive army of Ishida Mitsunari's 40,000 warriors. In a moving last statement to his son Tadamasa, he wrote:
Who did Torii Mototada serve?
The answer is the following: Tokugawa Ieyasu

Problem: In 1981, the MUSE system was demonstrated for the first time in the United States, using the same 5:3 aspect ratio as the Japanese system. Upon visiting a demonstration of MUSE in Washington, US President Ronald Reagan was impressed and officially declared it "a matter of national interest" to introduce HDTV to the US.
Which president declared it "a matter of national interest" to introduce HDTV to the US?
The answer is the following: President Ronald Reagan

Problem: The ultimate substantive legacy of Principia Mathematica is mixed. It is generally accepted that Kurt Godel's incompleteness theorem of 1931 definitively demonstrated that for any set of axioms and inference rules proposed to encapsulate mathematics, there would in fact be some truths of mathematics which could not be deduced from them, and hence that Principia Mathematica could never achieve its aims. However, Godel could not have come to this conclusion without Whitehead and Russell's book. In this way, Principia Mathematica's legacy might be described as its key role in disproving the possibility of achieving its own stated goals. But beyond this somewhat ironic legacy, the book popularized modern mathematical logic and drew important connections between logic, epistemology, and metaphysics.
Why was Godels finding ironic?
The answer is the following: Godel could not have come to this conclusion without Whitehead and Russell's book

Problem: The women of Tuvalu use cowrie and other shells in traditional handicrafts. The artistic traditions of Tuvalu have traditionally been expressed in the design of clothing and traditional handicrafts such as the decoration of mats and fans. Crochet (kolose) is one of the art forms practiced by Tuvaluan women. The material culture of Tuvalu uses traditional design elements in artefacts used in everyday life such as the design of canoes and fish hooks made from traditional materials. The design of women's skirts (titi), tops (teuga saka), headbands, armbands, and wristbands, which continue to be used in performances of the traditional dance songs of Tuvalu, represents contemporary Tuvaluan art and design.
What sea creatures were used in traditional handicrafts?
The answer is the following:
shells