In the context of Jean Piaget's 'Theory of Cognitive Development' under 'Child Development and Pedagogy', identify that specific mental and logical capacity of the final phase described by Piaget—the 'Formal Operational Stage' (approx. 11 years to adulthood)—in which an adolescent or individual becomes capable of systematically conducting mental experiments and drawing logical conclusions for solving a problem based solely on propositions, statements, or abstract hypotheses, without the presence of any concrete or real object?

According to Jean Piaget's theory of cognitive development, the 'Formal Operational Stage' is the fourth and final stage of cognitive development, starting from around 11 years of age and lasting into adulthood. The main characteristic of this stage is the development of 'Hypothetico-Deductive Reasoning' and 'Abstract Thinking'. Under this, a child or adolescent is not dependent solely on concrete experiences to solve a problem, but can formulate various possibilities and hypotheses, test them logically, and reach the correct conclusion. Option (a) 'conservation' relates to the concrete operational stage, option (c) 'animism' to the pre-operational stage, and option (d) 'centration' is also a limitation of the pre-operational stage. Thus, option (b) is correct.