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 faces the one who sits to the immediate left of A?
Correct Answer :
U
Solution :
Correct Answer: The correct option is U.
Step-by-step Explanation:
We are given that 14 persons are seated in two parallel rows containing 7 persons each, facing each other:
• Row 1 (facing South): A, B, C, D, E, F, G
• Row 2 (facing North): P, Q, R, S, T, U, V
Let us number the positions from 1 to 7 from left to right (with respect to North-facing directions):
• For Row 2 (facing North): Left is position 1, Right is position 7.
• For Row 1 (facing South): Left is position 7, Right is position 1.
Step 1: Determine positions of G, F, and Q
G sits fourth to the right of F in Row 1. In a row of 7 seats, facing South, "right" means towards position 1.
So, F must be at position 5 or 6 or 7, which places G at position 1 or 2 or 3 respectively.
Also, "Four persons sit between S and Q". In 7 seats, this means S and Q are at extreme positions (positions 1 and 6, or 2 and 7).
Since G faces an immediate neighbor of Q, and two persons sit between T and U where neither T nor U sits at any end (positions 2, 3, 4, 5, 6 for T/U):
• If Q is at position 1, S is at position 6. Q's immediate neighbor is position 2. So G faces position 2 (G is at Row 1, position 2). Then F (4 places to left of G, which is to the right in South-facing) is at position 6.
Step 2: Place T, U, V, P, R, and S/Q in Row 2
• Two persons sit between T and U, and neither sits at an end. Therefore, T and U must occupy positions 2 and 5 (or 5 and 2).
• Since Q is at position 1 (or 7) and S is at position 6 (or 2), and T/U are at 2 and 5, Q must be at position 1 and S at position 6.
• "V sits to the immediate left of P" (in North-facing row, left is lower position number). Thus V and P occupy adjacent positions (V, P).
• Since positions 1 (Q), 2 (T/U), 5 (T/U), 6 (S) are fixed, the remaining open positions in Row 2 are 3, 4, and 7.
• Therefore, V and P must occupy positions 3 and 4 respectively (V at 3, P at 4).
• The only remaining position in Row 2 is position 7, which must be occupied by R.
• So Row 2 from positions 1 to 7 is: Q, T/U, V, P, U/T, S, R.
Step 3: Place remaining persons in Row 1
• "D sits to the immediate left of the one who faces P". P is at position 4. The person facing P is at Row 1, position 4. Immediate left in South-facing means position 5. So D is at position 5.
• From Step 1, F is at position 6 and G is at position 2.
• "E and A are immediate neighbors of each other" and "B sits third to the left of A" (left in South facing is higher position number).
• For B to sit third to the left of A, A must be at position 4 (facing P), so third to left is position 7, which is B. Since E and A are immediate neighbors, E must be at position 3.
• Thus, Row 1 from positions 1 to 7 is: C at 1, G at 2, E at 3, A at 4, D at 5, F at 6, B at 7.
Step 4: Resolve T and U, and check remaining conditions
• "R sits to the right of the one who faces C". C is at position 1, facing Q (position 1). R is at position 7, which is to the right of Q. This is consistent.
• "T does not face D". D is at position 5. So the person facing D at position 5 cannot be T. Therefore, U is at position 5, and T is at position 2.
Final Arrangement:
• Row 1 (South facing): C (1) - G (2) - E (3) - A (4) - D (5) - F (6) - B (7)
• Row 2 (North facing): Q (1) - T (2) - V (3) - P (4) - U (5) - S (6) - R (7)
Answering the question:
• The person sitting to the immediate left of A (facing South, left means position 5) is D.
• The person facing D (at position 5 in Row 2) is U.
Therefore, the person who faces the one who sits to the immediate left of A is U.
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