Correct option is C
Criteria:
1. The applicant should be able to pay a one-time membership fee of ₹10,000 and contribute two books worth ₹500.
Mr. A is ready to pay ₹10,000 and contribute two books worth ₹500. Hence, he meets this criterion.
2. The one-time membership fee is relaxed up to 50% if the applicant donates books worth ₹5,000 in total.
Mr. A is donating only books worth ₹500, not ₹5,000, so he does not qualify for this relaxation.
3. For school students, the membership fee is relaxed till the age of 18 years.
Mr. A is 30 years old, so he does not qualify for this relaxation.
4. Serving school teachers are required to pay only ₹2,000 if they help 20 students to become members of the library.
Mr. A is not mentioned to be a school teacher, so this criterion does not apply to him.
5. Only for serving Defence personnel and their wards, the membership of the library is free of cost.
Mr. A is the son of a retired army officer, but the criteria only applies to serving Defence personnel and their wards. Since Mr. A’s father is retired, this does not apply to him.
Conclusion:
Mr. A meets only the first criterion (i), where he can pay ₹10,000 and contribute two books worth ₹500.
Thus, the correct answer is:
C. Eligible only under (i).