Seating Arrangement Setup
Seven people (A, B, C, D, E, F, G) are arranged in a row facing north. We deduce their positions step-by-step.
- E's Position: "No one sits to the right of E" implies E is at the rightmost end. In a row of 7, E is at position 7. Seats: \(_ _ _ _ _ _ E\)
- D's Position: "Only three people sit between E and D". With E at 7, D must be 4 positions to the left (3 in between + D itself). Position D = 7 - 4 = 3. Seats: \(_ _ D _ _ _ E\)
- A's Position: "Only two people sit between D and A". D is at 3. A must be 3 positions to the right of D. Position A = 3 + 3 = 6. Seats: \(_ _ D _ _ A E\)
Relative Placement of B, G, and F
We use the relative positions provided:
- "G sits to the immediate right of B" forms a block: \(BG\).
- "F sits third to the left of B" means there are two people between F and B: \(F _ _ B\).
- Combining these, we get the sequence structure: \(F _ _ B G\).
Determining the Final Arrangement
The available seats are 1, 2, 4, 5. We need to place F, B, G respecting \(F _ _ B G\).
- The block \(BG\) can be placed in seats (4, 5).
- If B is at 4, G is at 5.
- Then F must be at position 4 - 3 = 1.
- This arrangement \(F _ D B G A E\) uses seats 1, 3, 4, 5, 6, 7.
- The remaining person, C, must be in the only empty seat, position 2.
- The final arrangement is: \(F C D B G A E\)
Counting People Between B and E
Locate B and E in the final arrangement:
- B is at position 4.
- E is at position 7.
- The people sitting between positions 4 and 7 are at positions 5 and 6.
- These individuals are G and A.
- Therefore, there are 2 people between B and E.
Similar Questions
I, J, K and L are sitting in a row. L and I are sitting next to each other and I and K are the ends. Who is sitting next to J?
- Consider the given question and decide which of the following statements is sufficient to answer the question.
Five people, P, Q, R, S and T, are standing in a line; who is in the middle?
Statements:
1. Q is to the left of T.
2. S is in between P and T. - Read the following question and decide which of the given statements is/are sufficient.
If X is a natural number, is X+6 odd?
Statements:
1. X−15 is a whole number.
2. X−6 is an odd number.
Important Questions from Linear Arrangement
M, N, L, O, Q and H are sitting in a row. Q and H are in the centre. M and N are at the ends. L is sitting to the immediate left of N. Who is to the right of M?
Five friends, Shruti, Shreya, Anup, Ankit and Kiran, are sitting in a row facing towards the south. Shruti is between Shreya and Anup. Kiran and Shreya are sitting at the extreme ends of the west and east, respectively. Who is sitting in the middle?
Five students are standing in a line. Suman is standing next to Pranav but not next to Deena. Kumar is standing next to Raju, who is standing on the extreme left, and Deena is not standing next to Kumar.
Who is standing in the middle?Eight friends, A, B, C, D, E, F, G and H, are sitting in a straight line, all facing the north. F is sitting between D and G. B is sitting between H and A. E is third to the left of G. G is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?
Five students are sitting in a row. Akbar is to the left of the person sitting in the middle, but to the right of Sekar. Prakash is to the right of Deva, and Ram is to the right of Prakash. Ram is second from the person sitting in the middle. Who is the person sitting in the middle?
