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 KU men's basketball team has fielded a team every year since 1898. The Jayhawks are a perennial national contender currently coached by Bill Self. The team has won five national titles, including three NCAA tournament championships in 1952, 1988, and 2008. The basketball program is currently the second winningest program in college basketball history with an overall record of 2,070–806 through the 2011–12 season. The team plays at Allen Fieldhouse. Perhaps its best recognized player was Wilt Chamberlain, who played in the 1950s. Kansas has counted among its coaches Dr. James Naismith (the inventor of basketball and only coach in Kansas history to have a losing record), Basketball Hall of Fame inductee Phog Allen ("the Father of basketball coaching"), Basketball Hall of Fame inductee Roy Williams of the University of North Carolina at Chapel Hill, and Basketball Hall of Fame inductee and former NBA Champion Detroit Pistons coach Larry Brown. In addition, legendary University of Kentucky coach and Basketball Hall of Fame inductee Adolph Rupp played for KU's 1922 and 1923 Helms National Championship teams, and NCAA Hall of Fame inductee and University of North Carolina Coach Dean Smith played for KU's 1952 NCAA Championship team. Both Rupp and Smith played under Phog Allen. Allen also coached Hall of Fame coaches Dutch Lonborg and Ralph Miller. Allen founded the National Association of Basketball Coaches (NABC), which started what is now the NCAA Tournament. The Tournament began in 1939 under the NABC and the next year was handed off to the newly formed NCAA.

SOLUTION: What was the last year in which a men's team played basketball at the University of Kansas?

PROBLEM: Passage: Glass has the ability to refract, reflect, and transmit light following geometrical optics, without scattering it. It is used in the manufacture of lenses and windows. Common glass has a refraction index around 1.5. This may be modified by adding low-density materials such as boron, which lowers the index of refraction (see crown glass), or increased (to as much as 1.8) with high-density materials such as (classically) lead oxide (see flint glass and lead glass), or in modern uses, less toxic oxides of zirconium, titanium, or barium. These high-index glasses (inaccurately known as "crystal" when used in glass vessels) cause more chromatic dispersion of light, and are prized for their diamond-like optical properties.

SOLUTION: What can be used to make glass less dense?

PROBLEM: Passage: Popper died of "complications of cancer, pneumonia and kidney failure" in Kenley at the age of 92 on 17 September 1994. He had been working continuously on his philosophy until two weeks before, when he suddenly fell terminally ill. After cremation, his ashes were taken to Vienna and buried at Lainzer cemetery adjacent to the ORF Centre, where his wife Josefine Anna Popper (called ‘Hennie’) had already been buried. Popper's estate is managed by his secretary and personal assistant Melitta Mew and her husband Raymond. Popper's manuscripts went to the Hoover Institution at Stanford University, partly during his lifetime and partly as supplementary material after his death. Klagenfurt University possesses Popper's library, including his precious bibliophilia, as well as hard copies of the original Hoover material and microfilms of the supplementary material. The remaining parts of the estate were mostly transferred to The Karl Popper Charitable Trust. In October 2008 Klagenfurt University acquired the copyrights from the estate.

SOLUTION:
At what age did Josefine Anna Popper die?