Problem: In 2007, two FAA whistleblowers, inspectors Charalambe "Bobby" Boutris and Douglas E. Peters, alleged that Boutris said he attempted to ground Southwest after finding cracks in the fuselage, but was prevented by supervisors he said were friendly with the airline. This was validated by a report by the Department of Transportation which found FAA managers had allowed Southwest Airlines to fly 46 airplanes in 2006 and 2007 that were overdue for safety inspections, ignoring concerns raised by inspectors. Audits of other airlines resulted in two airlines grounding hundreds of planes, causing thousands of flight cancellations. The House Transportation and Infrastructure Committee held hearings in April 2008. Jim Oberstar, former chairman of the committee said its investigation uncovered a pattern of regulatory abuse and widespread regulatory lapses, allowing 117 aircraft to be operated commercially although not in compliance with FAA safety rules. Oberstar said there was a "culture of coziness" between senior FAA officials and the airlines and "a systematic breakdown" in the FAA's culture that resulted in "malfeasance, bordering on corruption." In 2008 the FAA proposed to fine Southwest $10.2 million for failing to inspect older planes for cracks, and in 2009 Southwest and the FAA agreed that Southwest would pay a $7.5 million penalty and would adopt new safety procedures, with the fine doubling if Southwest failed to follow through.
How many planes did the FAA managers allow to fly in 2006 and 2007 that were overdue for safety inspections?
The answer is the following: 46

Problem: Symmetry groups are groups consisting of symmetries of given mathematical objectsbe they of geometric nature, such as the introductory symmetry group of the square, or of algebraic nature, such as polynomial equations and their solutions. Conceptually, group theory can be thought of as the study of symmetry.t["] Symmetries in mathematics greatly simplify the study of geometrical or analytical objects. A group is said to act on another mathematical object X if every group element performs some operation on X compatibly to the group law. In the rightmost example below, an element of order 7 of the (2,3,7) triangle group acts on the tiling by permuting the highlighted warped triangles (and the other ones, too). By a group action, the group pattern is connected to the structure of the object being acted on.
What is the name of the rule that must be met for a group operation to occur?
The answer is the following: group law

Problem: Since the system's launch, production costs have been reduced significantly as a result of phasing out the Emotion Engine chip and falling hardware costs. The cost of manufacturing Cell microprocessors has fallen dramatically as a result of moving to the 65 nm production process, and Blu-ray Disc diodes have become cheaper to manufacture. As of January 2008, each unit cost around $400 to manufacture; by August 2009, Sony had reduced costs by a total of 70%, meaning it only costs Sony around $240 per unit.
What specific component of Blu-Ray disc have also gotten less expensive to make?
The answer is the following: diodes

Problem: On January 7, 2012, Beyonce gave birth to her first child, a daughter, Blue Ivy Carter, at Lenox Hill Hospital in New York. Five months later, she performed for four nights at Revel Atlantic City's Ovation Hall to celebrate the resort's opening, her first performances since giving birth to Blue Ivy.
How many nights did Beyonce play at the resort?
The answer is the following:
four