DILR13 min read

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.

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Optima Learn EditorialReviewed by the editorial team
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Published June 3, 2026
CAT 2026 DILR puzzles infographic with five numbered cards for the floor-grid method, a floor-based   set, a box-based set, a hybrid set, and the 2-minute set-selection test.
Light blue gradient hero with a "CAT 2026 DILR" pill, headline "Floor, Box & Grid Puzzles Solved" ("Puzzles Solved" in red), five numbered cards plus a full-grids teaser, and the Optima Learn logo bottom-left.

CAT 2026 DILR Logical Reasoning Puzzles: Floor-Based, Box-Based and Grid Arrangements Solved

Published: June 3, 2026 | 13 min read | CAT Preparation
CAT 2026 DILR logical reasoning puzzles infographic showing the floor-grid method for floor, box and hybrid arrangements

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.

The 4-move floor-grid method
  1. Draw the grid. One row per position, lowest at the bottom, with extra columns for any attribute.
  2. Anchor the fixed clues. Place absolute positions first (top floor, bottom box) since they need no deduction.
  3. Apply relative clues. Add immediately-above, exactly-two-apart, and higher-or-lower clues, ruling out impossible cells.
  4. 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.

Floor 5 | S Floor 4 | R Floor 3 | Q Floor 2 | P Floor 1 | T

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.

Box | Size | Colour 1 | Small | Green 2 | Large | Blue 3 | Medium | Red

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.

The "smaller box" direction trap

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 Sets

Solved 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.

Floor | Person | Car 4 | D | Red 3 | A | Silver 2 | C | White 1 | B | Black

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 minutesWhat it meansAction
Two or more fixed positions anchorLikely a clean, single-solution setCommit and solve fully
Only relative clues, nothing locksRisk of branching and ambiguityPark it, scan for a better set
Extra attribute with few linksTwo-attribute grid may stay openAttempt 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.

Your Questions Answered

How do you solve floor arrangement puzzles in CAT?
Draw a vertical grid, lowest floor at the bottom. Anchor fixed clues like top or bottom floor first, then apply relative clues such as immediately above or exactly two floors apart, ruling out impossible cells until one arrangement survives. The vertical grid replaces the circular map used for seating.
What is the difference between floor puzzles and seating arrangement?
Floor and box puzzles are linear and vertical with fixed above and below directions and a clear top and bottom. Circular seating wraps around with no fixed start, and left or right depends on facing direction. The solving tool differs accordingly.
How long should a DILR puzzle take in CAT?
Around ten to twelve minutes for a four-question arrangement set once selected. Use the first two minutes to decide whether the set is worth attempting. Set selection matters more than raw speed, as covered in our CAT 2026 DILR plan.
Are box-based puzzles common in CAT DILR?
Yes, box-based and floor-based arrangements appear regularly, often with an extra attribute like colour or size. These two-attribute grids reward a tidy table. Practising them alongside floor puzzles in your CAT preparation covers a large share of the arrangement family.

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CAT 2026 Logical Reasoning Puzzles: Floor and Box Sets | Optima Learn