Question

Each question contains six statements followed by four sets of combination of three. Choose the set in which the statements are logically related.
Statements:
(i) All frogs are amphibians.
(ii) All amphibians are not frogs.
(iii) All amphibians are cold blooded.
(iv) All frogs lay eggs.
(v) All amphibians lay eggs.
(vi) Frogs are cold blooded.

• A. (i), (iii), (vi)
• B. (0), (iv), (v)
• C. (i), (ii), (v)
• D. (ii), (v), (iv)

Hint:

Use the chain: All $A$ are $B$; All $B$ are $C$; therefore All $A$ are $C$.

Answer 1

The Correct Option is A

From (i) \emph{All frogs are amphibians} and (iii) \emph{All amphibians are cold blooded}, it follows for the particular case that (vi) \emph{Frogs are cold blooded}.
Thus, (i) + (iii) $\Rightarrow$ (vi) is a valid syllogism. The other sets either contain an incorrect/irrelevant item (like “(0)”) or don’t yield a logical conclusion.