Seating arrangement questions are a common feature in competitive exams, especially reasoning sections. These puzzles test your logical thinking, spatial visualization, and ability to decode complex information. Let’s explore some strategies to crack these problems effectively.
1. Understand the Given Information
Before diving into the arrangement, carefully read the problem statement. Identify the key conditions and understand the relationships between people. Pay attention to any clues related to positions, directions, and orientations.
2. Assume People Are Facing the Center
In circular and square/rectangular arrangements, assume that all people are facing the center unless explicitly specified otherwise. This simplifies left-right confusion and helps you visualize the arrangement better.
3. Differentiate Between Comparative and Definite Information
- Comparative Information: Statements like “A is sitting left to D” provide relative positions but not exact places.
- Definite Information: Statements like “A is sitting on the right end” give specific positions.
4. Use Negative Information to Eliminate Possibilities
Negative clues help narrow down options. For example, “A is not sitting immediately left to B” eliminates certain arrangements. Combine negative information with other conditions to rule out invalid possibilities.
5. Imagine Yourself Among Them
Put yourself in the arrangement. Visualize the positions as if you were one of the people. Create a rough diagram to represent the given conditions effectively.
6. Start with 100% True Statements
Begin with statements that are definitely true. Then analyze statements with negative or indirect information. Build your arrangement step by step.
7. Create Diagrams for Multiple Possibilities
If there are multiple valid arrangements, draw separate diagrams for each possibility. Compare them to find the correct solution.
Example Problem:
Question: Five friends—Amit, Bhavya, Chetan, Divya, and Ekta—are sitting in a row facing north. Given conditions:
- Amit sits to the immediate left of Bhavya.
- Chetan sits to the immediate right of Divya.
- Ekta is not at either end.
- Bhavya is third from the left end.
Solution:
- Bhavya is third from the left, so Amit must be second from the left.
- Chetan sits to the immediate right of Divya.
- Ekta is in the middle (third position).
- Order: Amit, Bhavya, Ekta, Divya, Chetan.
- Chetan is at the extreme right end.
Practice similar problems regularly to enhance your reasoning skills. Remember, patience and persistence are key.
Practice Questions
Question 1
Five friends, P, Q, R, S and T are sitting in a row facing south. Q is sitting in the centre
position. P is sitting at the west end. T and R are sitting on one side of Q. Two persons
are sitting between P and R. Who is sitting between Q and P?
Solution
Let’s break down the information to solve the problem:
- There are five friends: P, Q, R, S, and T.
- They are sitting in a row facing south.
- Q is sitting in the center position. So, Q is in the 3rd position.
- P is sitting at the west end. This means P is in the 1st position.
- T and R are sitting on one side of Q.
- Two persons are sitting between P and R.
Given these conditions:
- P is in the 1st position.
- Q is in the 3rd position.
- There are two persons between P and R, so R must be in the 4th position.
- T is on the same side as R, so T must be in the 2nd position.
Now, the positions are:
- P
- T
- Q
- R
- S
Who is sitting between Q and P?
Answer: T
Question 2
Eight friends, P, Q, R, S, T, U, V and W, are watching a movie sitting in a line. T is sitting
at one of the corners. Q is sitting between W and R. V is sitting between S and U. W is
sitting to the immediate right of T. R is sitting to the immediate left of P. There are two
persons between P and U. Who is sitting at the other corner?
Solution
Let’s solve this step-by-step.
- T is sitting at one of the corners: This means T can be either at position 1 or 8.
- W is sitting to the immediate right of T: If T is at position 1, W is at position 2. If T is at position 8, W is at position 7.
- Q is sitting between W and R: This gives us some clue about Q, W, and R’s relative positions.
- R is sitting to the immediate left of P: This means R is directly before P.
- There are two persons between P and U: This tells us the positions of P and U are separated by exactly two people.
Let’s explore the two cases for T’s position:
Case 1: T is at position 1
- W must be at position 2.
The arrangement looks like this: T, W, _, _, _, _, _, _
- Q is between W and R, so R must be at position 4 and Q at position 3.
Then the arrangement is: T, W, Q, R, _, _, _, _
- R is immediately to the left of P, so P must be at position 5.
Then the arrangement is: T, W, Q, R, P, _, _, _
- There are two people between P and U. So, U must be at position 8.
The arrangement is: T, W, Q, R, P, _, _, U
- We now have two spots left, and two people (S and V) to place. V must be between S and U, so S is at position 6 and V is at position 7.
The final arrangement is: T, W, Q, R, P, S, V, U
In this arrangement, the other corner is position 8. The person sitting at the other corner is U.
Case 2: T is at position 8
- W must be at position 7.
The arrangement looks like this: _, _, _, _, _, _, W, T
- Q is between W and R. If R is at position 6, Q is at position 5.
The arrangement is: _, _, _, _, Q, R, W, T
- R is immediately to the left of P. Thus, P must be at position 7, but W is already there. This scenario is not possible.
Thus, the only valid arrangement is Case 1.
So, the person sitting at the other corner is U.
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