TASK DEFINITION: This task is about creating an unanswerable question based on a given passage. Construct a question that looks relevant to the given context but is unanswerable. Following are a few suggestions about how to create unanswerable questions:
(i) create questions which require satisfying a constraint that is not mentioned in the passage
(ii) create questions which require information beyond what is provided in the passage in order to answer
(iii) replace an existing entity, number, date mentioned in the passage with other entity, number, date and use it in the question
(iv) create a question which is answerable from the passage and then replace one or two words by their antonyms or insert/remove negation words to make it unanswerable.
PROBLEM: Passage: The ultimate substantive legacy of Principia Mathematica is mixed. It is generally accepted that Kurt Gödel's incompleteness theorem of 1931 definitively demonstrated that for any set of axioms and inference rules proposed to encapsulate mathematics, there would in fact be some truths of mathematics which could not be deduced from them, and hence that Principia Mathematica could never achieve its aims. However, Gödel could not have come to this conclusion without Whitehead and Russell's book. In this way, Principia Mathematica's legacy might be described as its key role in disproving the possibility of achieving its own stated goals. But beyond this somewhat ironic legacy, the book popularized modern mathematical logic and drew important connections between logic, epistemology, and metaphysics.

SOLUTION: What is the general consensus of the axioms and inference rules not declared in Principia Mathematica?

PROBLEM: Passage: YouTube entered into a marketing and advertising partnership with NBC in June 2006. In November 2008, YouTube reached an agreement with MGM, Lions Gate Entertainment, and CBS, allowing the companies to post full-length films and television episodes on the site, accompanied by advertisements in a section for US viewers called "Shows". The move was intended to create competition with websites such as Hulu, which features material from NBC, Fox, and Disney. In November 2009, YouTube launched a version of "Shows" available to UK viewers, offering around 4,000 full-length shows from more than 60 partners. In January 2010, YouTube introduced an online film rentals service, which is available only to users in the US, Canada and the UK as of 2010. The service offers over 6,000 films.

SOLUTION: Who entered into a partnership during June 2008 with NBC?

PROBLEM: Passage: While local government in Ireland has limited powers in comparison with other countries, the council has responsibility for planning, roads, sanitation, libraries, street lighting, parks, and a number of other important functions. Cork City Council has 31 elected members representing six electoral wards. The members are affiliated to the following political parties: Fine Gael (5 members), Fianna Fáil (10 members), Sinn Féin (8 members), Anti-Austerity Alliance (3 members), Workers' Party (1 member), Independents (4 members). Certain councillors are co-opted to represent the city at the South-West Regional Authority. A new Lord Mayor of Cork is chosen in a vote by the elected members of the council under a D'Hondt system count.

SOLUTION:
What government has more power than in other countries?