Order and Ranking Level 3 Reasoning: Advanced Practice Set
This Level 3 order and ranking set trains multi-step position reasoning, where a single clue changes the whole arrangement. Problems involve interchanges, minimum row size with overlapping positions, people moving within a row, stacks of books and files, and six-person comparison chains. Aptitude360 provides a worked solution for every problem.
What this Level 3 ranking set covers
- Row totals worked out after two persons interchange positions
- Minimum number of persons in a row when positions overlap
- Persons moving several places left and right, and the midway position
- Class ranks after students leave, fail or stay absent
- Vertical stacks of books, files and boxes counted from top and bottom
- Height, weight, age and test-score chains with clues such as heavier than only two persons
Rules worth knowing for tougher ranking problems
- Total from one person's two positions: \( N = L + R - 1 \)
- Total after an interchange: \( N = L_{A}' + R_{B} - 1 \)
- Gap between two positions from the same end: \( |L_{A} - L_{B}| - 1 \)
- A left of B, k between: \( N = L_{A} + R_{B} + k \)
- B left of A, k between: \( N = L_{A} + R_{B} - k - 2 \), if \( L_{A}, R_{B} \ge k+2 \)
How to revise advanced order and ranking
- Test both arrangements, with and without overlap, whenever a minimum or maximum is asked.
- Update each person's position step by step when people move or leave.
- Translate 'heavier than only two' into an exact rank before combining it with other clues.
- For stacks, treat top and bottom like the two ends of a row.
Who this set is for
Reasoning aspirants who are comfortable with the earlier levels of this series and want harder multi-condition practice on row positions, ranks and comparison chains.