Logical deduction – visitors of the Taj are tourists or historians: Which pair aligns with "Those visiting the Taj Mahal are either tourists or historians"? (i) Siya is historian or a tourist. (ii) Riya is a tourist. (iii) Siya is visiting the Taj Mahal. (iv) Riya is visiting the Taj Mahal.

Introduction / Context:The rule is VisitTaj ⇒ (Tourist ∨ Historian). It does not say all tourists/historians visit Taj.

Given Data / Assumptions:

• For any person X, if X visits Taj, then X is tourist or historian.

Concept / Approach:We look for a pair where visiting Taj justifies labeling the person as tourist or historian. That is (iii) then (i) for Siya.

Step-by-Step Solution:

Verification / Alternative check:Implication direction is from visiting to category membership, not the reverse.

Why Other Options Are Wrong:(iv) (ii) assumes visiting ⇒ tourist for Riya without (iv) being given by the rule. (i) (iii) flips order; (i) alone does not imply (iii).

Common Pitfalls:Assuming all tourists/historians must be visitors (converse error).

Final Answer:(iii) (i)