Fourteen persons are sitting in two parallel rows facing each other. A, B, C, D, E, F and G are sitting in row 1 facing south and P, Q, R, S, T, U and V are sitting in row 2 facing north (not necessarily in the same order) .
G sits fourth to the right of F and faces the one who is an immediate neighbor of Q. Four persons sit between S and Q. Two persons sit between T and U. Neither T nor U sits at any end. E and A are immediate neighbors of each other. B sits third to the left of A. V sits to the immediate left of P. D sits to the immediate left of the one who faces P. R sits to the right of the one who faces C. T does not face D.
Who among the following is an immediate neighbor of the one who faces Q?
Correct Answer :
G
Solution :
Correct Answer: Option G
Let's analyze the given information step-by-step to determine the seating arrangement for both rows.
Step 1: Understand the orientation
• Row 1 (Facing South): A, B, C, D, E, F, G. (Left and Right are inverted relative to standard view: Right is to the West/Left side of the page, Left is to the East/Right side of the page).
• Row 2 (Facing North): P, Q, R, S, T, U, V. (Standard directions apply: Left is West, Right is East).
Step 2: Determine the positions in Row 2
1. "Four persons sit between S and Q."
Since each row has 7 positions (let's number them 1 to 7 from West/Left to East/Right), S and Q must occupy positions (1, 6) or (2, 7).
2. "Two persons sit between T and U. Neither T nor U sits at any end."
Positions 1 and 7 are end positions, so T and U must be placed at non-end positions. The available positions for T and U (separated by 2 persons, i.e., positions x and x+3) can be (2, 5) or (3, 6).
• If S/Q are at (1, 6), then T/U cannot be at (3, 6) because position 6 is already occupied. Thus, T/U would be at (2, 5).
• If S/Q are at (2, 7), position 2 is occupied, so T/U would have to be at (3, 6).
3. "V sits to the immediate left of P."
This means V and P are sitting together in the order [V, P] (from left to right).
Let's test the placement of S and Q:
Case 1: Q is at position 1 and S is at position 6.
• Since T and U cannot sit at the ends, T and U must sit at positions 2 and 5 (or 5 and 2).
• Now, the remaining consecutive pair [V, P] must occupy positions 3 and 4.
• Thus, the row 2 arrangement from position 1 to 7 becomes: Q, T/U, V, P, U/T, S, R.
Let's check the clues related to Row 1:
• "G sits fourth to the right of F and faces the one who is an immediate neighbor of Q."
In Row 1 (facing south), "fourth to the right of F" means G is 4 places to the left (viewing perspective) of F.
So, F is at position x, and G is at position x - 4. Since there are 7 positions, (G, F) must be at positions (1, 5) or (2, 6) or (3, 7).
If Q is at position 1, its only immediate neighbor is at position 2.
So G must face position 2, placing G at position 2 of Row 1.
Since G is at position 2, F must be 4 places to the left of G's perspective (i.e. position 2 + 4 = 6). Thus, F is at position 6.
• "E and A are immediate neighbors of each other. B sits third to the left of A."
In Row 1 (facing south), "third to the left of A" means B is at position A + 3.
The available positions in Row 1 are 1, 3, 4, 5, 7 (since 2 is G and 6 is F).
If A = 1, then B = 4. Then E must be adjacent to A, so E = 2 (taken by G) - Invalid!
If A = 4, then B = 7. E must be adjacent to A, so E = 3 or 5.
Let's set A = 4, B = 7, E = 3. Then position 1 is D, position 5 is C.
Row 1 becomes: 1:D, 2:G, 3:E, 4:A, 5:C, 6:F, 7:B.
Let's verify the remaining clues:
• "D sits to the immediate left of the one who faces P."
P is at position 4 in Row 2. The person facing P is A (at position 4 in Row 1).
D is at position 1, which is to the right of A (facing south). But D needs to be to the immediate left of A (which is position 5). This contradicts the clue!
Let's test Case 2: Q is at position 6 and S is at position 1.
• Immediate neighbors of Q (position 6) are positions 5 and 7.
• Non-end positions for T and U are 2 and 5 (since 6 is Q). So T and U are at positions 2 and 5.
• Then [V, P] must be at positions 3 and 4.
• R is at position 7.
• So Row 2 is: 1:S, 2:T/U, 3:V, 4:P, 5:U/T, 6:Q, 7:R.
Now consider Row 1:
• Person facing P (position 4) is at position 4 in Row 1.
• "D sits to the immediate left of the one who faces P." In facing south, immediate left is position + 1. So D is at position 5.
• G faces an immediate neighbor of Q (position 5 or 7). Thus, G can be at position 5 or 7. But position 5 is occupied by D, so G must be at position 7!
• Since G sits fourth to the right of F (facing south: G = F - 4), if G is at position 7, then F must be at position 3.
• Remaining positions in Row 1 are 1, 2, 4, 6.
• "B sits third to the left of A" (facing south: B = A + 3). Possible positions for (A, B) are (1, 4) or (3, 6). Since 3 is F, A must be at 1 and B at 4.
• "E and A are immediate neighbors of each other." Since A is at position 1, E must be at position 2.
• Position 6 must be occupied by C.
Let's summarize Row 1: 1:A, 2:E, 3:F, 4:B, 5:D, 6:C, 7:G.
Let's check the remaining clues:
• "R sits to the right of the one who faces C."
C is at position 6. The one who faces C is Q (position 6). R is at position 7, which is to the right of Q. (Holds true!)
• "T does not face D."
D is at position 5. So position 5 in Row 2 cannot be T, which means position 5 is U, and position 2 is T.
Final Seating Arrangement:
Row 1 (South): A (1) - E (2) - F (3) - B (4) - D (5) - C (6) - G (7)
Row 2 (North): S (1) - T (2) - V (3) - P (4) - U (5) - Q (6) - R (7)
Step 3: Answer the Question
Q is at position 6 in Row 2.
The person facing Q is C (position 6 in Row 1).
The immediate neighbors of C are D (position 5) and G (position 7).
Among the given options (E, G, C, Either E or G), G is present.
Therefore, G is an immediate neighbor of the one who faces Q.
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