Question

Fact $1$: All chickens are birds.
Fact $2$: Some chickens are hens.
Fact $3$: Female birds lay eggs.
If the first three statements are facts, which of the following statements must also be a fact?
I: All birds lay eggs.
II: Some Hens are birds.
III. Some chickens are not hens.

• A. I only
• B. II only
• C. II and III only
• D. None of the statements is a known fact.

Answer 1

The correct option is C II and III only

The first statement cannot be true because only female birds lay eggs. Statement II is true because some hens are chickens and all chickens are birds. Statement III is also true because if only some chickens are hens, then some must not be hens.