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Math is widely considered as a powerful tool and its strong appeal depends onthe high level of abstraction it allows in modelling a huge number ofheterogeneous phenomena and problems, spanning from the static of buildings tothe flight of swarms. As further proof, Gardner's and Carroll's problems havebeen intensively employed in a number of selection methods and job interviews.Despite the mathematical background, these problems are based on, severalsolutions and explanations are given in a trivial way. This work proposes athorough investigation of this framework, as a whole. The results of such studyare three mathematical formulations that express the understood mathematicalrelationship in these well-known riddles. The proposed formulas are of help inthe formalization of the solutions, which have been proven to be lesstime-taking when compared to the well-known classic ones, that look moreheuristic than rigorous.

Enhancing logical deduction with math: the rationale behind Gardner and Carroll