Logical deduction – Sunday implies Tuesday: "If it happens on Sunday, it will happen again on Tuesday." Choose the consistent pair. (i) It happened on Sunday. (ii) It happened on Tuesday. (iii) It did not happen on Sunday. (iv) It did not happen on Tuesday.

Introduction / Context:The rule is Sunday ⇒ Tuesday. Thus whenever Sunday occurs, Tuesday must also occur. The converse need not hold.

Given Data / Assumptions:

• If (i) is true, (ii) must be true.

Concept / Approach:A consistent pair containing both truths is fine; the order listed in the option does not affect logical consistency.

Step-by-Step Solution:

Verification / Alternative check:Pairs involving "did not happen on Tuesday" with "happened on Sunday" would contradict the rule.

Why Other Options Are Wrong:(iii) (ii) and (iii) (iv) start by denying Sunday; they tell nothing decisive about Tuesday. The chosen pair affirms both, which is fully consistent with the rule.

Common Pitfalls:Expecting a biconditional; it is only one-way necessity.

Final Answer:(ii) (i)