Pattern guide

Union Questions

Union is the OR of two cells — every element present in either parent survives. The row-2 cell is the inclusive merge of row 0 and row 1.

What this pattern means

Each row resolves to 'row 0 OR row 1'. Elements present in either parent (or both) appear in the result. Unlike XOR, shared elements do not cancel — they are kept.

How to spot it

  • Row-2 cells contain every element that appears in row 0 OR row 1.
  • No element is dropped in row 2 unless it was absent from both parents.
  • Row 2 is often denser than either parent.

Common visual signals

  • A row-2 cell that 'looks like both parents combined'.
  • Lines or dots that survive even when they appear in both parents.
  • Often paired with conservation or Latin-square secondary rules.

Step-by-step solving tactic

  1. 1List the elements in the two parent cells.
  2. 2Combine the lists into a single set (no duplicates).
  3. 3The result is the row-2 cell.
  4. 4Verify by checking that every element in either parent appears in row 2.

Common traps

  • Confusing union with XOR — XOR drops shared elements; union keeps them.
  • Forgetting that a single element appearing in both parents shows up only once in the union.
  • Reading the cells in the wrong order — union is symmetric but the visual orientation can still confuse.

Related patterns

Apply this pattern under timed conditions

Take the free 10-question matrix reasoning practice test — every question carries the union pattern or another commonly tested mechanic.

Free test · 10 questions