Question:

Study the following statements and conclusions carefully. Statements:

• All Z are Y.

• No Y is X.

• Every X is W.
Conclusions:

• [I.] Some W are Z.

• [II.] Z are not X.
Options:

Show Hint

Whenever "All A are B" and "No B is C" are given, immediately conclude that "No A is C".
Updated On: Jun 11, 2026
  • Only Conclusion I follows.
  • Only Conclusion II follows.
  • Both Conclusions I and II follow.
  • Neither Conclusion I nor II follows.
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The Correct Option is B

Solution and Explanation

Concept: Use Venn-diagram logic. Given: \[ Z \subseteq Y \] and \[ Y \cap X=\phi \] Also, \[ X \subseteq W \]

Step 1: Analyse Conclusion II. Since all Z are inside Y and no Y is X, \[ Z \cap X=\phi \] Hence, \[ \boxed{\text{Z are not X}} \] Conclusion II definitely follows.

Step 2: Analyse Conclusion I. We know: \[ X \subseteq W \] But nothing guarantees any overlap between W and Z. Therefore, Some W are Z cannot be concluded. Conclusion I does not follow. Hence only Conclusion II follows. \[ \boxed{\text{Answer = (B)}} \]
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