Question 71

Logical Reasoning Syllogism Medium

Let W, X, Y, Z be some entities.

Statements:
a) All Zs are Ys.
b) No Y is a X.
c) Every X is a W.
Conclusions:
I. Some Ws are Zs.
II. Zs are not Xs.

(A) Neither conclusion I nor II follows
(B) Only conclusion I follows
(C) Only conclusion II follows
(D) Both conclusions I and II follow
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

From statement (a) we know \( Z \subset Y \). From statement (b) we know the intersection of Y and X is empty (\( Y \cap X = \emptyset \)). Since all Zs are within Y, and Y completely excludes X, Z must also completely exclude X. This makes Conclusion II ("Zs are not Xs") TRUE. From statement (c) we know \( X \subset W \). While W contains X, there is no relationship defined that forces W to overlap with Z. W could exist entirely separately from Z. Therefore, Conclusion I ("Some Ws are Zs") is not necessarily true. Hence, only conclusion II follows.

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