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: Exchanging "+" and "" in the expression, i.e. permuting the two solutions of the equation can be viewed as a (very simple) group operation. Similar formulae are known for cubic and quartic equations, but do not exist in general for degree 5 and higher. Abstract properties of Galois groups associated with polynomials (in particular their solvability) give a criterion for polynomials that have all their solutions expressible by radicals, i.e. solutions expressible using solely addition, multiplication, and roots similar to the formula above.

SOLUTION: What degree must it be lower than to have simple formulas?

PROBLEM: Passage: Indonesia is the largest country in Southeast Asia and it also the largest archipelago in the world by size (according to the CIA World Factbook). Geologically, the Indonesian Archipelago is one of the most volcanically active regions in the world. Geological uplifts in the region have also produced some impressive mountains, culminating in Puncak Jaya in Papua, Indonesia at 5,030 metres (16,500 feet), on the island of New Guinea; it is the only place where ice glaciers can be found in Southeast Asia. The second tallest peak is Mount Kinabalu in Sabah, Malaysia on the island of Borneo with a height of 4,095 metres (13,435 feet). The highest mountain in Southeast Asia is Hkakabo Razi at 5,967 meters and can be found in northern Burma sharing the same range of its parent peak, Mount Everest.

SOLUTION: What is the largest country in Asia?

PROBLEM: Passage: The political reforms of Peter the Great ( , Pyotr Velikiy) were accompanied by a reform of the alphabet, and achieved their goal of secularization and Westernization. Blocks of specialized vocabulary were adopted from the languages of Western Europe. By 1800, a significant portion of the gentry spoke French daily, and German sometimes. Many Russian novels of the 19th century, e.g. Leo Tolstoy's ( ) War and Peace, contain entire paragraphs and even pages in French with no translation given, with an assumption that educated readers would not need one.

SOLUTION:
In what year did Peter the Great come to power?