The problem asks to identify the person sitting between Sam and Rachel based on a set of clues about six friends seated around a circular table.
Analyzing Seating Arrangement Clues
- Constraint 1: Olivia is to the immediate right of Peter. This gives us a block [Peter -> Olivia] in clockwise order.
- Constraint 2: Peter and Toby are neighbours. Since Olivia is to Peter's right, Toby must be to Peter's left. This forms the block [Toby - Peter -> Olivia].
- Constraint 3: Victoria is to the immediate right of Sam. This gives us a block [Sam -> Victoria] in clockwise order.
- Constraint 4: Sam is not sitting next to Rachel.
- Constraint 5: Sam is not sitting next to Toby.
Deducing the Arrangement
We have the blocks [Toby - Peter -> Olivia] and [Sam -> Victoria]. The sixth person is Rachel.
Let's combine these blocks considering the circular arrangement and the remaining constraints:
- Start with the [Toby - Peter -> Olivia] block.
- We need to place the [Sam -> Victoria] block and Rachel (R) into the remaining three spots.
- Scenario 1: Place [Sam -> Victoria] next to Olivia, followed by Rachel.
- Clockwise Order: Toby - Peter - Olivia - Sam - Victoria - Rachel.
- Check Constraints:
- Olivia right of Peter: Yes.
- Peter/Toby neighbors: Yes.
- Victoria right of Sam: Yes.
- Sam not next to Rachel: Sam's neighbors are Olivia and Victoria. Rachel's neighbors are Victoria and Toby. Yes, Sam is not next to Rachel.
- Sam not next to Toby: Sam's neighbors are Olivia and Victoria. Toby's neighbors are Rachel and Peter. Yes, Sam is not next to Toby.
- In this arrangement, Sam's neighbours are Olivia and Victoria. Rachel's neighbours are Victoria and Toby. The common neighbour is Victoria.
- Scenario 2: Place Rachel next to Olivia, followed by the [Sam -> Victoria] block.
- Clockwise Order: Toby - Peter - Olivia - Rachel - Sam - Victoria.
- Check Constraints:
- Sam not next to Rachel: Sam's neighbours are Rachel and Victoria. This violates the constraint.
- This scenario is invalid.
- Other placements involving splitting the blocks or placing Rachel between Peter and Toby would violate adjacency rules or create conflicts with Sam's neighbours. For example, placing Sam next to Toby (Toby - Peter - Olivia - Rachel - Victoria - Sam) violates Constraint 5.
Identifying the Common Neighbour
Based on the valid arrangement (Toby - Peter - Olivia - Sam - Victoria - Rachel, clockwise), we analyze the neighbours:
- Sam's neighbours: Olivia and Victoria.
- Rachel's neighbours: Victoria and Toby.
The person who is the immediate neighbour of both Sam and Rachel is Victoria.
Important Questions from Seating arrangement
Five people A, B, C, D and E are seated about a round table. Every chair is spaced equidistant from adjacent chairs.
(i) C is seated next to A
(ii) A is seated two seats from D
(iii) B is not seated next to A
On the basis of above information, which of the following must be true?
1. D is seated next to B
2. E is seated next to A
3. D and C are separated by two seats
Select the correct answer using the code given below:
There are seven persons up on a ladder, A, B, C, D, E, F and G (not in that order). A is further up than E but is lower than C. B is in the middle. G is between A and B. E is between B and F. If F is between E and D, the person on the bottom step of the ladder will be
Consider that:
1. A is taller than B.
2. C is taller than A.
3. D is taller than C.
4. E is the tallest of all.
If they are made to sit in the above order of their height, who will occupy the mid position?
Four children are sitting in a row. A is occupying the seat next to B but not next to C. If C is not sitting next to D, who is/are occupying seat/seats adjacent to D?
A question paper must have a question on one of the eight poets: A, B, C, D, E, F, G or H The first four belong to the medieval period while the rest are considered modern poets Generally, modern poets figure in the question paper in alternate years. Generally those who like H like G also; and those who like F like E also. The paper-setter does not like to ask about F as he has written a book on F, but he likes F. Last year, the paper contained a question on A.
On the basis of the information given, this year's paper is most likely to contain a question on
