Problem: Gregorian calendar:

Ancient tables provided the sun's mean longitude. Christopher Clavius, the architect of the Gregorian calendar, noted that the tables agreed neither on the time when the sun passed through the vernal equinox nor on the length of the mean tropical year. Tycho Brahe also noticed discrepancies. The Gregorian leap year rule (97 leap years in 400 years) was put forward by Petrus Pitatus of Verona in 1560. He noted that it is consistent with the tropical year of the Alfonsine tables and with the mean tropical year of Copernicus (De revolutionibus) and Reinhold (Prutenic tables). The three mean tropical years in Babylonian sexagesimals as the excess over 365 days (the way they would have been extracted from the tables of mean longitude) were 14,33,9,57 (Alphonsine), 14,33,11,12 (Copernicus) and 14,33,9,24 (Reinhold). All values are the same to two places (14:33) and this is also the mean length of the Gregorian year. Thus Pitatus' solution would have commended itself to the astronomers.

When did Pitatus offer his solution to the leap year problem?
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A: 1560

Problem: Bermuda:

Construction began in 1941 of two airbases consisting of 5.8 km2 (2.2 sq mi) of land, largely reclaimed from the sea. For many years, Bermuda's bases were used by US Air Force transport and refuelling aircraft and by US Navy aircraft patrolling the Atlantic for enemy submarines, first German and, later, Soviet. The principal installation, Kindley Air Force Base on the eastern coast, was transferred to the US Navy in 1970 and redesignated Naval Air Station Bermuda. As a naval air station, the base continued to host both transient and deployed USN and USAF aircraft, as well as transitioning or deployed Royal Air Force and Canadian Forces aircraft.

Who primarily used the bases in Bermuda?
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A: US Air Force transport and refuelling aircraft and by US Navy aircraft

Problem: John von Neumann:

Von Neumann was born Neumann Janos Lajos (in Hungarian the family name comes first), Hebrew name Yonah, in Budapest, Kingdom of Hungary, which was then part of the Austro-Hungarian Empire, to wealthy Jewish parents of the Haskalah. He was the eldest of three children. He had two younger brothers: Michael, born in 1907, and Nicholas, who was born in 1911. His father, Neumann Miksa (Max Neumann) was a banker, who held a doctorate in law. He had moved to Budapest from Pecs at the end of the 1880s. Miksa's father and grandfather were both born in Ond (now part of the town of Szerencs), Zemplen County, northern Hungary. John's mother was Kann Margit (Margaret Kann); her parents were Jakab Kann and Katalin Meisels. Three generations of the Kann family lived in spacious apartments above the Kann-Heller offices in Budapest; von Neumann's family occupied an 18-room apartment on the top floor.

When did Von Neuman's father move from Pecs to Budapest?
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A: end of the 1880s

Problem: Bermuda:

Bermudians served in the British armed forces during both World War I and World War II. After the latter, Major-General Glyn Charles Anglim Gilbert, Bermuda's highest-ranking soldier, was instrumental in developing the Bermuda Regiment. A number of other Bermudians and their descendants had preceded him into senior ranks, including Bahamian-born Admiral Lord Gambier, and Bermudian-born Royal Marines Brigadier Harvey. When promoted to Brigadier at age 39, following his wounding at the Anzio landings, Harvey became the youngest-ever Royal Marine Brigadier. The Cenotaph in front of the Cabinet Building (in Hamilton) was erected in tribute to Bermuda's Great War dead (the tribute was later extended to Bermuda's Second World War dead) and is the site of the annual Remembrance Day commemoration.

What is the site for Bermuda's Remembrance Day?
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A:
Cenotaph in front of the Cabinet Building