Statement: “If you have obtained 75% or more marks in Class X, your admission to our coaching for Class XII is guaranteed.” — an advertisement by a coaching institute. Assumptions: I. Bright students generally do not opt for coaching classes. II. The coaching institute has adequate capacity to accommodate all such eligible students. III. The advertisement will be ignored by the target audience.

Introduction / Context:
The advertisement guarantees admission for students who scored at least 75% in Class X. We must determine which unstated beliefs are necessary for this guarantee to be meaningful.

Given Data / Assumptions:

• Eligibility threshold: 75% or more in Class X.
• Claim: Admission is guaranteed for every eligible candidate.
• Capacity details are not explicitly provided.

Concept / Approach:
Guarantee implies the institute can fulfill the promise for all qualified applicants; otherwise, the claim is misleading. We test each assumption by necessity.

Step-by-Step Solution:
I: “Bright students generally do not opt for coaching” is unrelated. The ad neither presumes nor implies this trend. Not implicit.II: To guarantee admission to all eligible students, the institute must assume adequate capacity (or elastic capacity) to accommodate everyone who qualifies. Implicit.III: If the ad were to be ignored, there would be little point in issuing such a guarantee. The advertiser assumes attention, not neglect. Not implicit.

Verification / Alternative check:
Even if demand is uncertain, a guarantee presupposes the ability to honour it for any number of eligible applicants.

Why Other Options Are Wrong:

• Only III / None / Only I: all contradict the necessity of II.
• I and II: incorrect since I is not needed.

Common Pitfalls:
Confusing market observations (who usually joins coaching) with assumptions required for a specific guarantee.

Final Answer:
Only II is implicit.