Arrangements are a common type of LRDI problem where you need to organise people, objects or entities based on a set of conditions. The challenge is often not the number of conditions but understanding how they connect and converting them into a clear visual representation.
For CAT LRDI Arrangements, start by fixing the most restrictive conditions, marking directions carefully and creating cases only when required. You can use these concepts while practising with PW CAT batches to build speed and improve your approach to different LRDI sets.
Arrangement problems require you to place different entities in specific positions while satisfying the conditions given in the question. A clear diagram can help you convert verbal information into a form that is easier to analyse.
Arrangements may involve:
People or objects are placed in a straight line, row or sequence, with conditions determining their relative or fixed positions.
People or objects are positioned around a circle, where relative positions and facing directions become important.
Some sets combine positions, directions, adjacency and multiple conditions, requiring you to build and compare different cases.
A long arrangement set is not necessarily difficult. Breaking the conditions into smaller parts can make the set easier to solve.
In a linear arrangement, represent each available position using a numbered slot. For example, four seats in a movie theatre can be represented as Seat 1, Seat 2, Seat 3 and Seat 4.
If the question states that X sits in Seat 4, place X there before working with the remaining conditions.
A statement such as Y being to the left of X allows Y to occupy any valid position to X's left unless the question specifically says immediately to the left.
“Immediately to the left” or “immediately to the right” means there cannot be a gap between the two positions.
Once fixed positions are marked, use directional and adjacency conditions to eliminate positions that cannot satisfy the remaining clues.
The meaning of left and right depends on the direction in which the person is facing. This becomes especially important when different people in an arrangement face different directions.
Before applying a left or right condition, identify which direction the relevant person is facing.
Use arrows or direction labels beside the person or position so that you do not reverse the meaning of left and right.
The direction of the row or diagram does not necessarily represent the direction in which an individual is facing.
When people face opposite directions, their immediate left and right positions may fall on opposite sides of the diagram.
Adjacency means that two people or objects occupy neighbouring positions without a gap. It is different from simply being somewhere to the left or right of another person.
“Left of” or “right of” does not necessarily mean that two people are next to each other.
“Immediately left”, “immediately right” and “adjacent” indicate neighbouring positions.
An adjacency condition can restrict the possible positions of two or more entities and reduce the number of arrangements you need to consider.
If the question asks for the maximum number of people sitting or standing together, check the size of the complete valid group rather than simply counting valid adjacent pairs.
You do not have to apply the clues in the order in which they appear in the question. Start with the conditions that provide the most information.
Look for a fixed position, immediate adjacency or another condition that limits several possibilities.
Use directly stated positions before handling conditions that allow multiple possibilities.
Apply conditions that restrict multiple positions early to avoid unnecessary casework.
Once the main positions have been established, use the less restrictive clues to complete the arrangement.
Some arrangement questions can have more than one possible configuration. In such situations, create separate cases only when the conditions genuinely allow different possibilities.
Do not expand every possible arrangement if an existing condition can eliminate several possibilities immediately.
Clearly separate Case 1, Case 2 and other valid possibilities so that conditions from one case are not mixed with another.
A case becomes invalid if it violates even one of the given conditions.
After eliminating impossible cases, check whether one arrangement remains or whether multiple arrangements satisfy all the conditions.
Circular arrangements require you to work with positions around a circle rather than in a straight row. Relative positions and facing directions are particularly important.
Represent the available positions consistently around the circle before placing people or objects.
Determine whether people face towards the centre or away from it before applying left and right conditions.
Use the given relationships between people to determine their positions around the circle.
Circular arrangements should remain part of your LRDI preparation because CAT question patterns can vary between exam cycles.
Some arrangements involve people standing in a line while facing different directions, such as east or west. In these questions, the direction of each individual must be considered separately.
Write or draw the facing direction beside each person.
Determine where each person can stand before applying the directional conditions.
A person's immediate left or right depends on the direction that person is facing.
When two people face opposite directions, the same physical side of the arrangement may represent left for one person and right for the other.
Once an arrangement is complete, you may need to count neighbouring pairs or identify the largest group satisfying a condition.
Check each neighbouring pair against the conditions given in the question.
A consecutive group refers to people occupying a continuous sequence of positions.
Adjacency may need to be combined with another condition, such as people facing the same direction.
The number of valid adjacent pairs is not necessarily the same as the number of people in the largest consecutive group.
Arrangement questions can become difficult when a basic condition is interpreted incorrectly or too many cases are created.
“Left of” allows multiple positions unless the question specifies immediate adjacency.
Left and right can change depending on whether a person faces east, west, towards the centre or away from it.
Use restrictive conditions first instead of creating every possible arrangement from the beginning.
Keep the conditions and deductions of each case separate while solving.
Check whether the question asks for adjacent pairs, people in a consecutive group or the maximum group size.
Before answering, check the final arrangement against every original condition.
Linear arrangements provide a useful foundation for more complex LRDI sets. Build your preparation approach gradually instead of starting with lengthy mixed-condition problems.
Learn fixed positions, relative positions, adjacency and directional clues before moving to more complex sets.
Solve dedicated arrangement DILR questions after learning each concept so that you can identify how different conditions affect the arrangement.
Once basic arrangements become comfortable, practise sets involving multiple cases, mixed directions and additional conditions.
When you get a question wrong, identify whether the issue was interpreting a condition, building cases, applying directions or verifying the final arrangement.
CAT does not follow a rigid topic-wise question distribution, so leaving an entire arrangement concept untouched can limit your preparation.
The aim is to convert a long-looking set into smaller constraints and apply the most useful conditions first.
Watch the session to revise the concepts of linear arrangements, circular arrangements, adjacency, facing directions and case reduction.
The key to solving CAT LRDI Arrangements is to convert the given conditions into a clear visual representation and apply the most restrictive clues first. Pay close attention to left and right, adjacency, facing directions and the exact quantity asked in the question.
Practise these concepts regularly through PW CAT batches and arrangement-based LRDI questions to build a systematic approach to lengthy sets. PW also supports your overall CAT preparation with learning and revision support across the different sections of the exam.