Home » Verbal Reasoning » Syllogism

Syllogism (windows, doors, walls): Decide which conclusion(s) follow logically. Statements: S1: All the windows are doors. S2: No door is a wall. Conclusions: C1: Some windows are walls. C2: No wall is a door. Choose the correct option.

Difficulty: Easy

Correct Answer: Only conclusion II follows.

Explanation:


Given data

  • S1: Windows ⊆ Doors.
  • S2: Doors ∩ Walls = ∅ (No door is a wall).


Concept / Approach
From S2, the disjointness is symmetric: If no A is B, then no B is A. Also, since Windows are a subset of Doors, Windows cannot overlap with Walls.


Testing conclusions
C1: “Some windows are walls” contradicts S1+S2, because any Window is a Door and no Door is a Wall. C2: “No wall is a door” is the contrapositive-symmetric form of S2, valid for disjointness statements.


Final Answer
Only conclusion II follows.

← Previous Question Next Question→

More Questions from Syllogism

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion