Mental Ability — Fundamental Concepts

Fundamental Concepts

Choose a representation

A seating problem is easier to audit with positions marked in a diagram. A rate problem benefits from a table of work per unit time. A verbal implication can be rewritten as a short conditional statement. The first step is therefore to identify the relationships being tested, not to search for a universal shortcut.

Preserve constraints

Record each condition separately and distinguish what it states from what it leaves open. If A is taller than B and C is taller than B, the ordering of A and C remains unknown. Both A = 170, C = 180 and A = 180, C = 170 can fit a shorter B.

Test a proposed rule

For a supplied numerical pattern, check the rule against every transition and the wording of the task. A short sequence can admit several mathematical continuations when no class of rule is specified. Practice material should not conceal that ambiguity behind an unexplained answer key.

Verify the requested output

A spatial route may ask for facing direction rather than location. A percentage question may ask for percentage points rather than relative growth. A comparison may ask what must follow rather than what could occur. Identify that output before calculating.

Finish with a check: substitute a value, trace a diagram, test a counterexample or compare units. These small checks expose mistakes in representation that rapid arithmetic alone cannot correct.