Logical deduction – "only toppers get IIT admission": Only the toppers in Class 12 get admitted to IITs. Which pair is logically consistent/consequential? (i) Sid got admission in IIT. (ii) Sid is a topper in Class 12. (iii) Sid did not get admission in IIT. (iv) Sid did not top in anything.

Introduction / Context:"Only toppers get admitted" means admission implies topper (Admission → Topper). It does not say every topper must get admission.

Given Data / Assumptions:

• Rule: If someone is admitted to an IIT, they are a topper.
• No claim that every topper is admitted.

Concept / Approach:We check which pair aligns with Admission → Topper and avoids invalid converses.

Step-by-Step Solution:

Verification / Alternative check:A Venn view: IIT-admitted is a subset of toppers. Anyone inside admitted is inside topper.

Why Other Options Are Wrong:(iii) (iv) and (iv) (iii) commit the inverse error. (ii) (i) lists the same two truths but the consequence is specifically Admission ⇒ Topper; (i) (ii) cleanly expresses it.

Common Pitfalls:Assuming the converse (Topper ⇒ Admission) which is not stated.

Final Answer:(i) (ii)