From the given constraints,
1. Abstract and Baroque have to be displayed in Gallery B, because Gallery B has to have 3 artworks, and we can't separate Abstract and Baroque. Also, if we don't display Abstract and Baroque in B, for B we will be left with Cubist, Digital, and Expressionist, but here again, Cubist cannot be displayed together with Expressionist. For the third artwork, we will take either Cubist or Digital, or Expressionist.
2. Of the remaining 2, we will display them in Gallery A or Gallery C. So, Gallery A and Gallery C can have a maximum of two and a minimum of one artwork(s).
Now, from the options
Let's check for Gallery A
- Cubist, Folk, and Digital only - Not possible as it can have a maximum of 2 artworks only.
- Cubist and Folk only - Not possible because Folk is displayed in Gallery C
- Cubist only - This is possible, considering Expressionist is displayed in Gallery B/C and Digital in Gallery B/C
- Baroque and Abstract only - Not possible, as they are displayed in Gallery B
- Expressionist Only - This is possible, considering Cubist is displayed in Gallery B/C and Digital in Gallery B/C
- Folk Only - Not possible as Folk is displayed in Gallery C
Of these two possible options for Gallery A, which are Cubist only and Expressionist only, we have to find the corresponding possibilities for Gallery C.
If we take Cubist only, then for Gallery C, we will have Folk and Expressionist or Digital, but we don't have any of these two options.
If we take Expressionist only, then for Gallery C, we will have Folk and Cubist or Digital, and we have an option which is Cubist and Folk only.
Hence, for Gallery A - Expressionist only and
for Gallery C - Cubist and Folk only
Bunuel
A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.
The following rules apply:
- Exactly three types of artwork are showcased in Gallery B.
- The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
- The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
- The Folk artwork is displayed in Gallery C.
Select for
Gallery A the set of artwork types displayed in Gallery A, and select for
Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.