dMAT Latin Squares: eliminate by row and column.
Understand the 5 × 5 dMAT Latin Squares task, candidate elimination, proof steps, and timed-practice approach for APS India preparation.
Understand the job before practising the clock.
A dMAT Latin Square uses the letters A, B, C, D, and E in a 5 × 5 grid. Every letter must appear exactly once in each row and exactly once in each column. You identify the letter that belongs in the question-mark cell, sometimes after resolving another empty cell first.
The most reliable method is candidate elimination. List the letters missing from the target row, then remove any letter already present in the target column. If more than one candidate remains, inspect a connected empty cell whose row or column can be solved with one elimination step.
The target is not a complete Sudoku-style solution. Solve only the cells needed to prove the question-mark value. A short, auditable chain is faster and less error-prone than filling the entire grid mentally.
This independent guide explains the published mechanics with original wording. Confirm current rules through the official dMAT preparation page.
Train the parts that make the answer repeatable.
Row candidates
Identify exactly which of A–E are absent from the target row.
Column elimination
Remove any candidate already used in the target column.
Supporting-cell inference
Resolve one nearby blank when the target still has two possible letters.
Minimal proof chains
Stop as soon as the question-mark letter is forced.
Use the same decision path on every new item.
- Read the target rowName the missing letters without trying to solve the whole grid.
- Cross-check the target columnEliminate letters that already appear there. One remaining candidate proves the answer.
- Find a supporting blank if neededChoose an unresolved cell with the smallest candidate set and solve that first.
- Return to the targetApply the new letter to the original row or column and confirm the final candidate.
Know what pulls good attempts off course.
- Checking only the row and forgetting the column.
- Trying to complete all 25 cells when a two-step proof is enough.
- Carrying an eliminated candidate into a later mental step.
- Assuming a pattern from neighbouring rows instead of applying the once-per-row and once-per-column rule.
Original practice without exposing the answer bank.
- Original validated 5 × 5 grids across three difficulty levels.
- Untimed drills for candidate-elimination fluency.
- Timed 20-task blocks for pacing.
- Replay explanations that expose the shortest useful proof path.
Quick Drill is intentionally untimed. Once the solving process is stable, use timed practice to train decisions under the published pace.
Practise Latin Squares with a saved learning history.
Begin with an untimed drill, keep your progress when you return, and move into timed practice when the method is reliable.