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: The Quran consists of 114 chapters of varying lengths, each known as a sura. Suras are classified as Meccan or Medinan, depending on whether the verses were revealed before or after the migration of Muhammad to the city of Medina. However, a sura classified as Medinan may contain Meccan verses in it and vice versa. Sura titles are derived from a name or quality discussed in the text, or from the first letters or words of the sura. Suras are arranged roughly in order of decreasing size. The sura arrangement is thus not connected to the sequence of revelation. Each sura except the ninth starts with the Bismillah (بسم الله الرحمن الرحيم), an Arabic phrase meaning "In the name of God". There are, however, still 114 occurrences of the Bismillah in the Quran, due to its presence in Quran 27:30 as the opening of Solomon's letter to the Queen of Sheba.

SOLUTION: What is a chapter of the Quran not called?

PROBLEM: Passage: The quick and decisive defeat of the Arab troops during the Six-Day War by Israeli troops constituted a pivotal event in the Arab Muslim world. The defeat along with economic stagnation in the defeated countries, was blamed on the secular Arab nationalism of the ruling regimes. A steep and steady decline in the popularity and credibility of secular, socialist and nationalist politics ensued. Ba'athism, Arab socialism, and Arab nationalism suffered, and different democratic and anti-democratic Islamist movements inspired by Maududi and Sayyid Qutb gained ground.

SOLUTION:
What was the defeat of the Arab troops at the hand of the Israeli troops during the Seven-Day War?