SOLUTION: Of 90 students who took Biology and Geography test, 5/12 took Biology and 5/6 Geography. Every candidate took at least one of the two subjects. i. What fraction of the students

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Question 1210254: Of 90 students who took Biology and Geography test, 5/12 took Biology and 5/6 Geography.
Every candidate took at least one of the two subjects.
i. What fraction of the students took both subjects?
ii. What fraction of the students took Biology but not Geography?

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Of 90 students who took Biology and Geography test, 5/12 took Biology and 5/6 Geography.
Every candidate took at least one of the two subjects.
i. What fraction of the students took both subjects?
ii. What fraction of the students took Biology but not Geography?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


                  The problem is fatally  DEFECTIVE,

       since  5/12  of  90  students is  37.5,  which is not a whole number.


XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX


I posted this "problem" to the Google AI, and Google AI produced incorrect answer
without making a preliminary analysis of the input data for correctness.

See this Google-AI solution of 05/01/2025 under this link

https://www.google.com/search?q=Of+90+students+who+took+Biology+and+Geography+test%2C+5%2F12+took+Biology+and+5%2F6+Geography.+Every+candidate+took+at+least+one+of+the+two+subjects.+i.+What+fraction+of+the+students+took+both+subjects%3F+ii.+What+fraction+of+the+students+took+Biology+but+not+Geography%3F&rlz=1C1CHBF_enUS1071US1071&oq=Of+90+students+who+took+Biology+and+Geography+test%2C+5%2F12+took+Biology+and+5%2F6+Geography.+Every+candidate+took+at+least+one+of+the+two+subjects.+i.+What+fraction+of+the+students+took+both+subjects%3F+ii.+What+fraction+of+the+students+took+Biology+but+not+Geography%3F&gs_lcrp=EgZjaHJvbWUyBggAEEUYOdIBCTI4ODJqMGoxNagCCLACAfEFoNXAzHHOyK7xBaDVwMxxzsiu&sourceid=chrome&ie=UTF-8


Naturally, I posted them my notice saying that their solution was incorrect.


It confirms the basic truth: the AI in its current version works perfectly,
if it finds a source in the Internet to re-write from;
and it is powerless, when it does not find such a source in the Internet to re-write from.



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