What this pattern means
Row 2 contains exactly the elements that appear in row 0 OR row 1 — but not both. Elements that appear in both parents cancel out. XOR is symmetric (swapping row 0 and row 1 gives the same result), which distinguishes it from subtraction.
How to spot it
- Two parent cells share some elements and differ on others.
- Row 2 looks 'sparser' than the union of the two parents.
- Elements present in exactly one parent always carry through.
Common visual signals
- Dot-pattern or line-grid questions where elements cancel.
- Cells whose union would be 'crowded' but whose actual content is thinner.
- A clear cancellation step when comparing parents element by element.
Step-by-step solving tactic
- 1List the elements present in row 0 and row 1 cells of the column.
- 2For each element, check 'is it in both?' If yes, drop it.
- 3Elements in exactly one parent appear in row 2.
- 4Confirm by re-applying the rule to a different row.
Common traps
- Confusing XOR with union (OR) — union keeps shared elements; XOR drops them.
- Confusing XOR with subtraction — XOR is symmetric, subtraction is not.
- Misidentifying which elements are 'shared' when positions differ slightly.
Related patterns
Apply this pattern under timed conditions
Take the free 10-question matrix reasoning practice test — every question carries the xor pattern or another commonly tested mechanic.