Who are the neighbours of S2?
Step 1: Determine the Middle Position
Seven friends are sitting in a row. The middle position in a row of 7 is the 4th position. S2 is located at this position.
Arrangement: $_ _ _ S2 _ _ _$
Step 2: Locate S5 and S7
There are 3 friends between S5 and S7. This implies their positions could be {1, 5}, {2, 6}, or {3, 7}.
Both S5 and S7 are not at the extreme ends (positions 1 and 7).
Combining these conditions, the only possible positions for S5 and S7 are 2 and 6.
Step 3: Determine S3's Position
There are 2 friends between S3 and S5.
Case A: If S5 is at position 2.
- The arrangement is $_ S5 _ S2 _ S7 _$.
- To place 2 friends between S3 and S5(2), S3 must be at position 5. (Friends at positions 3 and 4).
- Partial arrangement: $_ S5 _ S2 S3 S7 _$
Case B: If S5 is at position 6.
- The arrangement is $_ S7 _ S2 _ S5 _$.
- To place 2 friends between S3 and S5(6), S3 must be at position 3. (Friends at positions 4 and 5).
- Partial arrangement: $_ S7 S3 S2 _ S5 _$
Step 4: Place S4 and Finalize Arrangement
S4 is not at any extreme end (positions 1 and 7).
Consider Case A (S5 at 2, S3 at 5, S7 at 6):
- Arrangement: $_ S5 _ S2 S3 S7 _$
- Remaining positions: 1, 3, 7. Remaining friends: S1, S4, S6.
- Since S4 cannot be at ends 1 or 7, S4 must be at position 3.
- Final arrangement: $S1/S6 S5 S4 S2 S3 S7 S1/S6$
- The neighbors of S2 (at position 4) are the individuals at positions 3 and 5, which are S4 and S3.
Consider Case B (S7 at 2, S3 at 3, S5 at 6):
- Arrangement: $_ S7 S3 S2 _ S5 _$
- Remaining positions: 1, 5, 7. Remaining friends: S1, S4, S6.
- Since S4 cannot be at ends 1 or 7, S4 must be at position 5.
- Final arrangement: $S1/S6 S7 S3 S2 S4 S5 S1/S6$
- The neighbors of S2 (at position 4) are the individuals at positions 3 and 5, which are S3 and S4.
Step 5: Identify Neighbors of S2
Both valid seating arrangements consistently show that S3 and S4 are the immediate neighbors of S2.
Similar Questions
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How many persons are sitting between H and C?
Important Questions from Linear Arrangement
Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?
Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?
Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?
Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?
A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer.
Question: How many people are standing in the row where all people are facing north?
Statements:
(I) A is fourth from the left end; M is second to the right of A; and R is second from the left end.
(II) M is fourth from the right end; only two people Stand between M and B.
