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Zorluk: OrtaSeating Arrangement

Six colleagues—Hayes, Iyer, Jones, Klein, Lopez, and Miller—are seated around a circular table. Exactly three of them are facing the center, while the other three are facing outside.

Read the following conditions carefully:
1. Lopez faces outside and sits third to the right of Iyer.
2. Jones is an immediate neighbor of Iyer.
3. Hayes sits to the immediate right of Jones, and both face the center.
4. Miller sits second to the right of Hayes.
5. The immediate neighbors of Miller face opposite directions (one faces the center, while the other faces outside).

Based on the given information, what is the seating position of Hayes with respect to Miller?

  1. Second to the rightCevap
  2. B
    Second to the left
  3. C
    Third to the right
  4. D
    Immediate left

Cevap

Hayes sits second to the right of Miller.
Based on the logical deductions, Miller sits at position 6 and faces outside. Hayes sits at position 2. For a person facing away from the center of the table, their right side corresponds to the clockwise direction. Moving clockwise from Miller (6) by two seats lands exactly on Hayes (2), meaning Hayes is second to the right.

Adım Adım Çözüm

1
Place Lopez and Iyer on the circular layout.
Let Lopez be at position 1, facing outside. Since Lopez sits third to the right of Iyer, they must sit exactly opposite each other (position 4).
In a 6-person circle, anyone sitting third to the right or left of another person sits directly opposite them.
2
Determine the positions of Jones and Hayes.
Jones is at position 3 and Hayes is at position 2. Both face the center.
Jones is adjacent to Iyer (4), so Jones must be at 3 or 5. Hayes sits to the immediate right of Jones. For a person facing the center, 'right' is counter-clockwise. If Jones were at 5, Hayes would be at 4, but Iyer is already there. Thus, Jones must be at 3, making Hayes's position 2.
3
Determine the positions of Miller and Klein.
Miller is at position 6 and Klein is at position 5.
Miller sits second to the right of Hayes. Since Hayes (2) faces the center, his right is counter-clockwise. Moving two seats counter-clockwise from 2 leads to 6 (past 1). Klein takes the last remaining seat at 5.
4
Deduce the facing direction of all remaining colleagues.
Klein faces the center. Iyer and Miller face outside.
Miller (6) has neighbors Lopez (1) and Klein (5). Since Lopez faces outside, and Miller's neighbors face opposite directions, Klein must face the center. We now have three people facing the center (Hayes, Jones, Klein). The remaining three (Lopez, Iyer, Miller) must therefore face outside.
5
Find the position of Hayes relative to Miller.
Hayes sits second to the right of Miller.
Miller is at position 6 and faces outside. For someone facing outside, their 'right' side is the clockwise direction. Counting clockwise from Miller (6), the first person is Lopez (1) and the second is Hayes (2).

Anahtar Kavram

Circular Seating Arrangement with Mixed Orientations
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