CAT Games & Tournaments: DILR Strategy

Games/tournament sets appeared prominently in CAT 2022 and 2024; absence in one year does not remove them from the practical DILR syllabus. Treat this as a set family, not a promise that CAT will allocate a fixed number of questions to it. The useful preparation is learning how to represent the information and recognise when the set is worth your time.

What this set family usually requires

Core skills include Points tables, round robin, wins/losses/draws, knockout, rankings, and possible score combinations, pair counting. Before calculation, compress the story into the smallest useful structure—a grid, table, timeline, graph or cases.

A practical solving sequence

Start with total matches/points invariants; build result table; use extremes; infer missing outcomes from row/column totals.

The order matters. Many DILR attempts become slow because students create too many cases before using the strongest fixed constraints. A good representation should make deductions easier; if your diagram is becoming more complicated than the paragraph, redraw it.

Should you select this set in a mock?

Good if scoring system and partial table create strong equations; risky if too many match outcomes are completely open.

Set selection is part of the skill. During review, compare the set you chose first with the set you *should* have chosen first. That single metric often explains a large part of DILR volatility.

Common time-wasting traps

• Wrong total-match formula
• forgetting each match contributes to two teams' records
• inconsistent draw points
• enumerating matches before using totals

Original practice seed

Five teams play round robin, 3 points win/1 draw; partial points and win counts given—recover rankings. Build the representation first, then write 3–4 questions yourself: one direct, one conditional, one count/maximum-minimum and one “which must be true” style. Creating questions forces you to see the structure more deeply than passive solution reading.

Mastery checkpoint

Can derive total matches n(n−1)/2 for round robin and use point totals to constrain outcomes.

Practise this family until the representation becomes fast, then mix it with unrelated set types. CAT does not announce “this is an arrangement set”; your real advantage comes from recognising the structure under unfamiliar wording and deciding quickly whether it deserves 10–12 minutes of your section.