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A,B,C,D,E,F and G are sitting in a row f...

A,B,C,D,E,F and G are sitting in a row facing North.
(i) F is to the immediate left of G.
(ii) E is `4^(th)` to the right of G.
(iii) C is the neighbour of B and D
(iv) Person who is third to the left of D is at one of the ends.
Who are the neighbours of B ?

A

C and D

B

C and G

C

G and F

D

C and E

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will analyze the given statements and arrange the individuals accordingly. ### Step 1: Arrange F and G - According to statement (i), F is to the immediate left of G. - This means we can represent them as: **F G**. ### Step 2: Position E - Statement (ii) states that E is 4th to the right of G. - If G is in position 2 (for example), then E would be in position 6 (2 + 4 = 6). - So, we can represent them as: **F G _ _ E**. ### Step 3: Position C, B, and D - From statement (iii), C is a neighbor of B and D. - This means C must be positioned between B and D. - We will denote their positions as: **B C D** or **D C B**. ### Step 4: Position D and the end condition - Statement (iv) says that the person who is third to the left of D is at one of the ends. - If we assume D is in position 5, then the third to the left would be in position 2 (5 - 3 = 2). - However, G is already in position 2, so D cannot be in position 5. - If D is in position 6, then the third to the left would be in position 3 (6 - 3 = 3), which is also not possible since E is in position 6. - Therefore, D must be in position 4, making the arrangement: **F G _ D E**. ### Step 5: Final Arrangement - Now, we can place C, B, and A. - Since D is in position 4, C must be in position 3, and B must be in position 2. - The only person left is A, who must be in position 1. - The final arrangement is: **A F G D C B E**. ### Step 6: Identify Neighbors of B - B is in position 6. Its neighbors are C (to the left) and E (to the right). ### Final Answer - The neighbors of B are **C and E**. ---
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