Statement — Many business offices are located in buildings having two to eight floors.\nRule — If a building has more than three floors, then that building has a lift (elevator).\n\nFrom the statement and the rule above, identify the conclusion that must be true in all cases.

Difficulty: Easy

Correct Answer: Every building that has five floors necessarily has a lift.

Explanation:


Introduction / Context:
This verbal-reasoning item tests your ability to convert a conditional rule into sure-shot logical consequences while avoiding assumptions not guaranteed by the text. The stem states a domain (office buildings with 2–8 floors) and a conditional: “If a building has more than three floors, it has a lift.” Our job is to examine each option and keep only what must always be true given the rule, not what might be true in some real-life cases.



Given Data / Assumptions:


  • Universe: buildings with floors in the set {2,3,4,5,6,7,8} that host business offices.
  • Rule: If floors > 3, then lift is present. Symbolically, floors > 3 → has_lift.
  • No promise is made about buildings with ≤ 3 floors.
  • No constraint is stated about which particular floors the lift serves, only that the building “has a lift.”


Concept / Approach:
Translate the conditional carefully and then test each option for necessity. Any statement that refers to buildings with 4, 5, 6, 7, or 8 floors should follow directly. Any claim about 2 or 3 floors is not guaranteed. Any statement about lift service to particular floors (e.g., “only above third floor”) also goes beyond the given rule.



Step-by-Step Solution:


Option A: A five-floor building has floors > 3, so by the rule the building must have a lift. This is necessarily true.Option B: The rule never limits lift service to floors above the third; it merely guarantees a lift exists in buildings with floors > 3. So this is not compelled.Option C: Two-storey buildings (floors = 2) are not covered by the rule. They may or may not have lifts. So this is not compelled.Option D: “All buildings have lifts” is stronger than the rule and is not guaranteed.Option E: Exactly three floors (floors = 3) does not satisfy “more than three.” Not compelled.


Verification / Alternative check:
Construct a counterexample for options B–E: a 3-floor building without a lift violates none of the rules but falsifies B, D, E in their implied universality. A 2-floor building without a lift also shows C is not necessary.



Why Other Options Are Wrong:


B, C, D, E import claims not stated by the conditional or speak about cases (≤ 3 floors) that are outside the guaranteed set.


Common Pitfalls:
Confusing “has a lift” with “lift only serves certain floors,” and assuming facts about two- or three-storey buildings when the rule is only for > 3 floors.



Final Answer:
Every building that has five floors necessarily has a lift.

More Questions from Statement and Conclusion

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