QUES: In a series of famous papers, von Neumann made spectacular contributions to measure theory. The work of Banach had implied that the problem of measure has a positive solution if n = 1 or n = 2 and a negative solution in all other cases. Von Neumann's work argued that the "problem is essentially group-theoretic in character, and that, in particular, for the solvability of the problem of measure the ordinary algebraic concept of solvability of a group is relevant. Thus, according to von Neumann, it is the change of group that makes a difference, not the change of space."

What concept was relevant to the solvability of the problem of measure?
What is the answer?
ANS: algebraic concept of solvability of a group is relevant
QUES: The ideas of the Italian Renaissance were slow to cross the Alps into northern Europe, but important artistic innovations were made also in the Low Countries. Though not as previously believed the inventor of oil painting, Jan van Eyck was a champion of the new medium, and used it to create works of great realism and minute detail. The two cultures influenced each other and learned from each other, but painting in the Netherlands remained more focused on textures and surfaces than the idealized compositions of Italy.

Where wasn't the focus of paintings on textures and surfaces?
What is the answer?
ANS: unanswerable
QUES: The Battle of Osan, the first significant American engagement of the Korean War, involved the 540-soldier Task Force Smith, which was a small forward element of the 24th Infantry Division which had been flown in from Japan. On 5 July 1950, Task Force Smith attacked the North Koreans at Osan but without weapons capable of destroying the North Koreans' tanks. They were unsuccessful; the result was 180 dead, wounded, or taken prisoner. The KPA progressed southwards, pushing back the US force at Pyongtaek, Chonan, and Chochiwon, forcing the 24th Division's retreat to Taejeon, which the KPA captured in the Battle of Taejon; the 24th Division suffered 3,602 dead and wounded and 2,962 captured, including the Division's Commander, Major General William F. Dean.

Which infantry division was involved in the Battle of Osan?
What is the answer?
ANS:
24th Infantry Division