QUES: This set inherits a group operation (sometimes called coset multiplication, or coset addition) from the original group G: (gN) (hN) = (gh)N for all g and h in G. This definition is motivated by the idea (itself an instance of general structural considerations outlined above) that the map G G / N that associates to any element g its coset gN be a group homomorphism, or by general abstract considerations called universal properties. The coset eN = N serves as the identity in this group, and the inverse of gN in the quotient group is (gN)1 = (g1)N.e["]

What group operation is taken by the set from the original group?
What is the answer?
ANS: coset multiplication
QUES: Calcutta (now Kolkata) was the capital of India during the British Raj until December 1911. However, Delhi had served as the political and financial centre of several empires of ancient India and the Delhi Sultanate, most notably of the Mughal Empire from 1649 to 1857. During the early 1900s, a proposal was made to the British administration to shift the capital of the British Indian Empire (as it was officially called) from Calcutta to Delhi. Unlike Calcutta, which was located on the eastern coast of India, Delhi was at the centre of northern India and the Government of British India felt that it would be logistically easier to administer India from the latter rather than the former.

What is the name of the empire for which Delhi served as the political and financial capital from 1649 to 1857?
What is the answer?
ANS: Mughal Empire
QUES: Every fall the Santa Monica Chamber of Commerce hosts The Taste of Santa Monica on the Santa Monica Pier. Visitors can sample food and drinks from Santa Monica restaurants. Other annual events include the Business and Consumer Expo, Sustainable Quality Awards, Santa Monica Cares Health and Wellness Festival, and the State of the City. The swanky Shutters on the Beach Hotel offers a trip to the famous Santa Monica Farmers Market to select and influence the materials that will become that evening's special "Market Dinner."

Where is the Santa Monica Cares Health and Wellness Festival held?
What is the answer?
ANS:
unanswerable