Problem: Antigonus II, a student of Zeno of Citium, spent most of his rule defending Macedon against Epirus and cementing Macedonian power in Greece, first against the Athenians in the Chremonidean War, and then against the Achaean League of Aratus of Sicyon. Under the Antigonids, Macedonia was often short on funds, the Pangaeum mines were no longer as productive as under Philip II, the wealth from Alexander's campaigns had been used up and the countryside pillaged by the Gallic invasion. A large number of the Macedonian population had also been resettled abroad by Alexander or had chosen to emigrate to the new eastern Greek cities. Up to two thirds of the population emigrated, and the Macedonian army could only count on a levy of 25,000 men, a significantly smaller force than under Philip II.
How large was the Macedonian army under the Antigonids?
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Answer: 25,000 men

Problem: Video output connections varied from one model of the console to the next. The original HVC-001 model of the Family Computer featured only radio frequency (RF) modulator output. When the console was released in North America and Europe, support for composite video through RCA connectors was added in addition to the RF modulator. The HVC-101 model of the Famicom dropped the RF modulator entirely and adopted composite video output via a proprietary 12-pin "multi-out" connector first introduced for the Super Famicom/Super Nintendo Entertainment System. Conversely, the North American re-released NES-101 model most closely resembled the original HVC-001 model Famicom, in that it featured RF modulator output only. Finally, the PlayChoice-10 utilized an inverted RGB video output.
The re-released NES-101 model in South America went back to what perceived primitive output?
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Answer: unanswerable

Problem: In the example above, the identity and the rotations constitute a subgroup R = {id, r1, r2, r3}, highlighted in red in the group table above: any two rotations composed are still a rotation, and a rotation can be undone by (i.e. is inverse to) the complementary rotations 270 for 90, 180 for 180, and 90 for 270 (note that rotation in the opposite direction is not defined). The subgroup test is a necessary and sufficient condition for a subset H of a group G to be a subgroup: it is sufficient to check that g1h H for all elements g, h H. Knowing the subgroups is important in understanding the group as a whole.d["]
270 for 180 is an example of what kind of rotation?
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Answer:
unanswerable