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: Jews are often identified as belonging to one of two major groups: the Ashkenazim and the Sephardim. Ashkenazim, or "Germanics" (Ashkenaz meaning "Germany" in Hebrew), are so named denoting their German Jewish cultural and geographical origins, while Sephardim, or "Hispanics" (Sefarad meaning "Spain/Hispania" or "Iberia" in Hebrew), are so named denoting their Spanish/Portuguese Jewish cultural and geographic origins. The more common term in Israel for many of those broadly called Sephardim, is Mizrahim (lit. "Easterners", Mizrach being "East" in Hebrew), that is, in reference to the diverse collection of Middle Eastern and North African Jews who are often, as a group, referred to collectively as Sephardim (together with Sephardim proper) for liturgical reasons, although Mizrahi Jewish groups and Sephardi Jews proper are ethnically distinct.

SOLUTION: How many major groups do the Ashkenazim belong to?

PROBLEM: Passage: Many types of Turing machines are used to define complexity classes, such as deterministic Turing machines, probabilistic Turing machines, non-deterministic Turing machines, quantum Turing machines, symmetric Turing machines and alternating Turing machines. They are all equally powerful in principle, but when resources (such as time or space) are bounded, some of these may be more powerful than others.

SOLUTION:
What are many types of Turing machines not used for?