Step 1: Understanding the Concept:
Jean Piaget's four stages of cognitive development and their landmark cognitive concepts.
Step 2: Detailed Explanation:
Correlating cognitive concepts with Piaget's developmental stages in ascending order:
1. D. Object Permanence: Acquired during the Sensorimotor Stage (0--2 years) around 8--12 months.
2. C. Animism: Characteristic of the Pre-operational Stage (2--7 years) where inanimate objects are believed to have life and feelings.
3. B. Conservation of Mass: Mastered during the Concrete Operational Stage (7--11 years).
4. A. Formal Operations Egocentrism: Emerges in the Formal Operational Stage (11+ years adolescence), manifesting as imaginary audience and personal fable.
Chronological sequence: D $\rightarrow$ C $\rightarrow$ B $\rightarrow$ A.
Step 3: Final Answer:
Hence, the correct sequence is D, C, B, A, matching option (C).