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← Reasoning

Logic

41 reasoning problems in this domain. Each starts from a depth archetype and bridges toward a competition type.

Deduce digits and place values from clues Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search
Solve a cryptarithm for each letter Recover Hidden Digits from Carries → Small-Domain Constrained Search
Find fractions meeting conditions Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search
Complete a magic square Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Find the value each shape stands for Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Work backwards from the result Work Backwards to Recover a Start Value → Arithmetic Expression Decomposition
Find an object's weight from balance Division as the Inverse of Multiplication → Small-Domain Constrained Search
Deduce weights from several balances Find Two Unknowns from Sum and Difference → Small-Domain Constrained Search
Find the unknown by working backwards Work Backwards to Recover a Start Value → Arithmetic Expression Decomposition
Set up the correct add/subtract equation Track a Quantity Through Changes → Arithmetic Expression Decomposition
Find weights from mobile balance Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Find the counterfeit coin by weighing Solve a Table or Graph Step by Step from Clues → Branching State Enumeration
Order objects by weight from comparisons Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Solve a table from given clues Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Logic grid deduction table Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Draw a table to solve Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Measure a target with unmarked jugs Work Backwards to Recover a Start Value → Branching State Enumeration
Build a table to enumerate cases Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Sort objects by a given criterion classify-objects-by-attribute → Casework by Position / Vertex Type
Classify by two criteria with a Venn diagram classify-objects-by-attribute → Overlap / Complement Counting
Infer the hidden sorting rule infer-classification-rule → Small-Domain Constrained Search
Logic grid deduction table Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Fill a table from conditions Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Chain attribute cards by one-attribute change attribute-chain-one-difference → Constraint Graph Coloring
Combine mixed data to complete a graph Solve a Table or Graph Step by Step from Clues → Small-Domain Constrained Search
Common and different attributes of two groups attribute-common-difference → Constraint Graph Coloring
Judge claims from a line graph Read and Scale a Data Graph → Coordinate Plane Figure Computation
Recover hidden digits in a vertical sum Recover Hidden Digits from Carries → Small-Domain Constrained Search
Find numbers meeting digit clues Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search
Cryptarithm digit deduction Recover Hidden Digits from Carries → Small-Domain Constrained Search
Cryptarithm: Letters Stand for Digits Recover Hidden Digits from Carries → Small-Domain Constrained Search
Deduce the hidden flipped cards Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search
Recover Erased Multiplication Digits Recover Hidden Digits from Carries → Small-Domain Constrained Search
Capstone: grid-sum and remainder conditions Divisibility and Remainder Reasoning → Small-Domain Constrained Search
Find a number from division clues Divisibility and Remainder Reasoning → Small-Domain Constrained Search
Smallest number meeting remainder bounds Divisibility and Remainder Reasoning → Small-Domain Constrained Search
Side length of a square from fitted figures Tile and Cut Figures with Congruent Pieces → Small-Domain Constrained Search
Insert plus and minus to make an equation Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search
Multiplication cryptarithm Recover Hidden Digits from Carries → Small-Domain Constrained Search
Multiplication synthesis challenge Recover Hidden Digits from Carries → Small-Domain Constrained Search
Find unknowns satisfying multiple conditions Pin Down a Number from Digit and Range Conditions → Small-Domain Constrained Search