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: On April 12, 1980, a military coup led by Master Sergeant Samuel Doe of the Krahn ethnic group overthrew and killed President William R. Tolbert, Jr.. Doe and the other plotters later executed a majority of Tolbert's cabinet and other Americo-Liberian government officials and True Whig Party members. The coup leaders formed the People's Redemption Council (PRC) to govern the country. A strategic Cold War ally of the West, Doe received significant financial backing from the United States while critics condemned the PRC for corruption and political repression.

SOLUTION: Who led a military coup that killed the American ambassador?

PROBLEM: Passage: The PLP, the party in government when the decision to join CARICOM was made, has been dominated for decades by West Indians and their descendants. (The prominent roles of West Indians among Bermuda's black politicians and labour activists predated party politics in Bermuda, as exemplified by Dr. E. F. Gordon). The late PLP leader, Dame Lois Browne-Evans, and her Trinidadian-born husband, John Evans (who co-founded the West Indian Association of Bermuda in 1976), were prominent members of this group. They have emphasised Bermuda's cultural connections with the West Indies. Many Bermudians, both black and white, who lack family connections to the West Indies have objected to this emphasis.

SOLUTION: Who had dominated CARICOM?

PROBLEM: Passage: Since the founding of Freemasonry, many Bishops of the Church of England have been Freemasons, such as Archbishop Geoffrey Fisher. In the past, few members of the Church of England would have seen any incongruity in concurrently adhering to Anglican Christianity and practicing Freemasonry. In recent decades, however, reservations about Freemasonry have increased within Anglicanism, perhaps due to the increasing prominence of the evangelical wing of the church. The former Archbishop of Canterbury, Dr Rowan Williams, appeared to harbour some reservations about Masonic ritual, whilst being anxious to avoid causing offence to Freemasons inside and outside the Church of England. In 2003 he felt it necessary to apologise to British Freemasons after he said that their beliefs were incompatible with Christianity and that he had barred the appointment of Freemasons to senior posts in his diocese when he was Bishop of Monmouth.

SOLUTION:
What Austrian Archbishop was a member of the Freemasons?