Row has A, B, C, E. Column has A, B, C, E.
The one rule that controls every grid
Each permitted letter appears once in each completed row and once in each completed column. Only the letters shown in the answer row can occur. The target is not always directly forced; you may have to resolve one or more supporting cells mentally first.
Do not scan the whole square repeatedly. Ask: which letters are missing from this row, and which are missing from this column? The intersection is your candidate set.
The CROSS method
C — Check the target column
List mentally which of the five letters are absent.
R — Read the target row
Find the letters missing from that row.
O — Overlap the two sets
A letter valid in both sets is a candidate for the question mark.
S — Solve a supporting cell
If two candidates remain, find the emptiest relevant row or column and complete one forced cell mentally.
S — Sanity-check uniqueness
Confirm the choice creates no duplicate in either direction.
Easy, medium and hard grids
- Easy: the target row or column is missing only one letter.
- Medium: row and column candidate sets intersect in one letter.
- Hard: two candidates remain and another cell must be solved first.
- Very dense-looking grids are not necessarily hard; begin with the line containing the most given letters.
How to work without notes
Use compact mental phrases: “row needs B/D; column needs A/D; therefore D.” If another cell is required, retain only its forced letter and return immediately to the target. Avoid mentally completing the entire grid.
- Scan the target row and column before any other area.
- Use answer options as the complete symbol set.
- Eliminate existing letters rather than trying to construct a pattern.
- If stuck, search for a row or column with four known letters.
Common Latin Square traps
- Checking the row but not the column.
- Assuming diagonal uniqueness—diagonals do not define the rule.
- Treating spatial symmetry as evidence.
- Trying to fill every blank.
- Forgetting that a supporting fill can force the target indirectly.
Senior Study Abroad Consultant and Researcher. Dhersh writes Career Wise guidance for Indian applicants preparing for German higher education.
Primary references: official dMAT preparatory materials supplied for Data Science (21 April 2026) and Battery Science (18 February 2025), the official dMAT website, and current g.a.s.t. test terms. Official instructions and your participant portal always take priority. Career Wise is not affiliated with g.a.s.t., TestDaF-Institut or APS India.
