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 decline of Constantinople – a main trading partner of Kievan Rus' – played a significant role in the decline of the Kievan Rus'. The trade route from the Varangians to the Greeks, along which the goods were moving from the Black Sea (mainly Byzantine) through eastern Europe to the Baltic, was a cornerstone of Kiev wealth and prosperity. Kiev was the main power and initiator in this relationship, once the Byzantine Empire fell into turmoil and the supplies became erratic, profits dried out, and Kiev lost its appeal.[citation needed]

SOLUTION: What played a minor rule in the decline of the Rus?

PROBLEM: Passage: Nintendo of America took the same stance against the distribution of SNES ROM image files and the use of emulators as it did with the NES, insisting that they represented flagrant software piracy. Proponents of SNES emulation cite discontinued production of the SNES constituting abandonware status, the right of the owner of the respective game to make a personal backup via devices such as the Retrode, space shifting for private use, the desire to develop homebrew games for the system, the frailty of SNES ROM cartridges and consoles, and the lack of certain foreign imports.

SOLUTION: What did owners of the respective game consider emulators?

PROBLEM: Passage: The university operates under 11 colleges or schools, which collectively offer 194 bachelor's degree programs, 68 master's degree programs, 25 PhD programs, and a Juris Doctor program. BYU also manages some courses and majors through the David M. Kennedy Center for International Studies and "miscellaneous" college departments, including Undergraduate Education, Graduate Studies, Independent Study, Continuing Education, and the Honors Program. BYU's Winter semester ends earlier than most universities in April since there is no Spring break, thus allowing students to pursue internships and other summer activities earlier. A typical academic year is broken up into two semesters: Fall (September–December) and Winter (January–April), as well as two shorter terms during the summer months: Spring (May–June) and Summer (July–August).

SOLUTION:
How many schools collectively offer 68 PhD programs?