Concept:
The Indian Constitution categorizes rights and obligations into distinct parts: Part III (Fundamental Rights), Part IV (Directive Principles of State Policy - DPSP), and Part IV-A (Fundamental Duties).
Step 1: Analyzing the Rights (A and B).
• A. Right to work: While often debated, this is not a Fundamental Right. It is a DPSP under Article 41.
• B. Right to Education: This is a Fundamental Right under Article 21A (inserted by the 86th Amendment, 2002).
Step 2: Analyzing Governance and Ethics (C, D, and E).
• C. Uniform Civil Code: This is a DPSP under Article 44, not a Fundamental Duty.
• D. Promotion of co-operative societies: This was added as a DPSP (Article 43B) by the 97th Amendment Act, 2011.
• E. To safeguard public property: This is indeed a Fundamental Duty listed under Article 51A(i).
Step 3: Identifying Correct Pairs.
From our analysis, only B, D, and E are correctly matched with their respective categories in the Constitution.