CAT 2026 DILR Logical Reasoning Puzzles: Floor-Based, Box-Based and Grid Arrangements Solved
A solving guide for CAT DILR floor-based, box-based and hybrid arrangement puzzles. It teaches the four-move floor-grid method, then works through three fully solved sets (a five-floor arrangement, a two-attribute box grid, and a floor-plus-car hybrid) with the grids shown, and closes with a two-minute set-selection test for the exam.

CAT 2026 DILR Logical Reasoning Puzzles: Floor-Based, Box-Based and Grid Arrangements Solved
Floor and box puzzles look intimidating until you realise they all collapse into one tool: a vertical grid. Where circular seating wraps around and confuses direction, floor-based and box-based logical reasoning puzzles CAT sets give you a fixed top and bottom and clean above-below relationships. That structure is a gift, because it lets one method crack every variant. This guide gives you the floor-grid method, then walks through three fully solved sets, a floor-based one, a box-based one, and a hybrid, so you can see the method handle each arrangement type from clue to final answer.
Why Floor and Box Puzzles Need a Different Approach
Most aspirants learn circular seating first and try to force its habits onto floor puzzles. That fails, because the two are structurally different. A circular arrangement has no fixed start, and left or right flips depending on which way a person faces. A floor or box arrangement is linear and vertical: floor one is always the bottom, the top floor is fixed, and above always means above. Those fixed directions make a vertical grid the natural and far more reliable tool.
This is the last major arrangement family many aspirants leave uncovered, even after drilling seating and games. Floor and box sets are logical reasoning puzzles at their cleanest, and closing the gap is high value because they appear regularly and, once you have the grid method, they are among the most deterministic sets in DILR. Unlike ambiguous data-heavy caselets, a well-formed logical reasoning puzzle usually has exactly one solution waiting to be unlocked.
The Floor-Grid Method for CAT Logical Reasoning Puzzles
The method is four moves, applied in order. It works identically for floors, boxes, and hybrid sets that add an attribute like colour or size. The whole point is to start from certainty and let each clue shrink the possibilities until one arrangement survives.
- Draw the grid. One row per position, lowest at the bottom, with extra columns for any attribute.
- Anchor the fixed clues. Place absolute positions first (top floor, bottom box) since they need no deduction.
- Apply relative clues. Add immediately-above, exactly-two-apart, and higher-or-lower clues, ruling out impossible cells.
- Test the survivors. When two arrangements remain, plug each into every clue; only the consistent one stands.
Notice the sequence is deliberately ordered from most to least certain. Anchoring fixed clues before relative ones prevents the most common mistake in floor arrangement DILR CAT problems, which is branching into many possibilities too early because you started with a vague clue. Start solid, stay solid.
Solved Set 1: A Floor-Based Arrangement
Five people, P, Q, R, S, and T, live on a five-floor building, floor one at the bottom and floor five at the top, one person per floor. Use these clues:
- S lives on the top floor.
- P lives on an even-numbered floor.
- Q lives immediately above P.
- There are exactly two floors between R and T.
- T lives on a lower floor than R.
Anchor first: S is on floor 5. P is even, so floor 2 or 4. If P were 4, then Q would be 5, but S already holds floor 5, so P must be 2 and Q must be 3. That leaves floors 1 and 4 for R and T. Exactly two floors between them fits 1 and 4 (floors 2 and 3 sit between). Since T is lower than R, T takes floor 1 and R takes floor 4. The grid resolves to a single answer.
So T lives on floor 1, and the full order from bottom to top is T, P, Q, R, S. Every clue checks out, and there is only one consistent arrangement, which is exactly what a clean floor set should produce.
Solved Set 2: A Box-Based Arrangement
Three boxes, numbered 1, 2, and 3, each hold one ball of a distinct colour (Red, Green, Blue) and are of distinct sizes (Small, Medium, Large). This is a two-attribute box arrangement CAT 2026 set, so the grid gets extra columns. Use these clues:
- Box 2 is Large.
- Box 1 contains the Green ball.
- The Red ball is in a box smaller than the box holding the Blue ball.
- Box 3 is Medium.
Anchor the sizes: box 2 is Large and box 3 is Medium, so box 1 is Small. Box 1 holds Green, so Red and Blue are in boxes 2 and 3. The Red box must be smaller than the Blue box. If Red were in box 2 (Large), no box is larger, so that fails. Therefore Red is in box 3 (Medium) and Blue is in box 2 (Large), which satisfies the size comparison.
The Large box holds Blue, and the Red ball sits in the Medium box. A two-attribute grid like this is where a tidy table pays off: trying to hold size and colour in your head at once is how aspirants lose box-based sets they could have solved cleanly on paper.
Clues like "Red is in a box smaller than Blue's box" mix the position attribute with a size attribute, and aspirants often read the comparison backwards under time pressure. Write the comparison as an arrow in your grid, Red size is less than Blue size, before you place anything. One reversed inequality silently breaks the whole set.
Practise DILR Arrangement Sets
Drill floor, box, and hybrid puzzles with the grid method on CAT-level sets built for the arrangement family.
Solve DILR Practice SetsSolved Set 3: A Hybrid Floor-and-Attribute Set
Four friends, A, B, C, and D, live on floors 1 to 4 of a building, and each owns a car of a different colour (White, Black, Red, Silver). Hybrid sets layer an attribute onto a floor arrangement, so the grid adds a colour column. Use these clues:
- A lives on floor 3.
- B lives immediately below C.
- The person on floor 1 owns the Black car.
- D owns the Red car.
- The White car owner lives on an even-numbered floor above the Black car owner.
A is on floor 3. B and C are consecutive with B below C, and from the remaining floors 1, 2, and 4 the only consecutive pair is B on 1 and C on 2, which leaves D on floor 4. Now the colours: floor 1 (B) owns Black, and D on floor 4 owns Red. The White owner must be on an even floor above the Black owner on floor 1, so floors 2 or 4; floor 4 is Red, so White is floor 2 (C). The last car, Silver, goes to A on floor 3.
A owns the Silver car, and the floor 2 resident is C with the White car. The hybrid set used the exact same four moves: draw the grid, anchor fixed clues, apply relative clues, and confirm the survivor. The added attribute column changes nothing about the method, which is the whole reason the grid approach scales across every arrangement type.
Set Selection and Timing in CAT DILR
Solving is only half the skill; choosing the right set is the other half. In CAT logical reasoning puzzles, the strongest scorers are ruthless about set selection. Give any arrangement set a two-minute test. If you can anchor at least two positions firmly from the fixed clues in that window, commit and finish it. If the clues are all relative and nothing locks, the set may be ambiguous or unusually hard, and a cleaner set elsewhere will earn the same marks for less time.
| Signal in first 2 minutes | What it means | Action |
|---|---|---|
| Two or more fixed positions anchor | Likely a clean, single-solution set | Commit and solve fully |
| Only relative clues, nothing locks | Risk of branching and ambiguity | Park it, scan for a better set |
| Extra attribute with few links | Two-attribute grid may stay open | Attempt only if time allows |
Build this judgement by practising sets in timed blocks rather than untimed solving. Pair this guide with our work on CAT DILR scheduling and routing sets and games and tournaments to cover the wider DILR map, and ground it all in a structured CAT preparation plan. To see how stronger DILR accuracy lifts your overall result, run your target through the CAT score predictor.
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