Puzzles

The Cognitive Reflection Test's Jerry puzzle

Jerry took a test along with the rest of his class. When the marks came back, it turned out Jerry had scored the 15th highest mark in the class - and also the 15th lowest mark in the class. How many students are in Jerry's class?

Reveal the answer

29. The tempting fast answers are 30 (15+15) or 15, but both are wrong: 14 students scored above Jerry and 14 scored below him, and adding Jerry himself gives 14+14+1=29. This is one of four new items added in a 2014 'CRT-2' expansion of Shane Frederick's original three-question Cognitive Reflection Test (the one with the famous bat-and-ball problem), created because the original questions had become so well known that many test-takers simply recalled the answers instead of reasoning through them.

Maggie E. Toplak, Richard F. West, and Keith E. Stanovich, Assessing miserly information processing: An expansion of the Cognitive Reflection Test — Thinking & Reasoning, 20(2):147-168, 2014

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