Question

Identify the set of three statements that are logically related.
A. No wires are hooks.
B. Some springs are hooks.
C. All springs are wires.
D. Some hooks are not wires.
E. No hook is a spring.
F. All wires are springs.

• A. AED
• B. BCF
• C. BEF
• D. ACE

Hint:

In syllogism groupings, always look for statements that share common categories; the aim is to connect them through shared terms for potential inference.

Answer 1

The Correct Option is B

B — "Some springs are hooks." — This is the starting statement establishing a partial relationship between springs and hooks.
C — "All springs are wires." — This places springs entirely inside the category of wires.
F — "All wires are springs." — This makes wires and springs co-extensive (each is the other). This, together with C, implies that wires and springs are the same set, which affects the relationship with hooks in B.
Thus, B, C, and F are logically connected in terms of categorical logic. Even though real-world plausibility isn’t considered here, the question groups these because of their definitional overlap and logical linkage.