This question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are most logically related:
A: Some buildings are not skyscrapers.
B: Some skyscrapers are not buildings.
C: No structure is a skyscraper.
D: All skyscrapers are structures.
E: Some skyscrapers are buildings.
F: Some structures are not buildings
Step-by-step Solution:
Correct Option: B (BDF)
The three statements in this set are:
At first glance, statement B seems factually incorrect, which can make the set appear unrelated. However, in these types of logical puzzles, the relationship between statements is more important than their real-world truth.
The connection is a direct syllogism: If we accept premise D ("All skyscrapers are structures") and premise B ("Some skyscrapers are not buildings"), it logically forces the conclusion F ("Some structures are not buildings"). The "structures" that are "not buildings" in conclusion F are precisely the "skyscrapers" mentioned in statement B.
Therefore, statements B and D together act as premises that lead directly to F as a valid conclusion, making BDF a self-contained and logically related set.