Step 1: Understand the Task: Match Piaget's cognitive development stages and age ranges with their corresponding cognitive milestones. Note that List-II descriptions are somewhat vague, requiring the best fit.
Step 2: Detailed Analysis:
A. 0-2 Years (Sensorimotor Stage): Key achievement: II. Object permanence (understanding objects exist when unseen).
B. 2-6/7 Years (Preoperational Stage): Key achievement: III. Represent objects/events symbolically (e.g., stick as horse).
C. 7-11/12 Years (Concrete Operational Stage): Key achievement: I. Various forms of logical thoughts (applied to concrete objects).
D. 12-Adult (Formal Operational Stage): Key achievement: IV. Understanding principles (abstract, hypothetical reasoning).
The pairings A-II and B-III are definite. Evaluating C and D:
C-IV (Concrete Operational): Understanding principles (e.g., conservation) aligns well.
D-I (Formal Operational): Various forms of logical thoughts (abstract, hypothetical-deductive) is also a strong match.
The combination A-II, B-III, C-IV, D-I appears to be the most logical intended answer, corresponding to option (B).
Step 3: Conclusion: The correct pairings are A-II, B-III, C-IV, and D-I, aligning with option (B).