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Zorluk: OrtaSeating Arrangement

Seven chefs—A, B, C, D, E, F, and G—are participating in a culinary competition. They are seated in a single straight row facing North for a tasting session.

- C sits third to the right of the person seated at the extreme left end.
- E sits exactly between A and F.
- F does not sit at either of the extreme ends.
- G sits second to the left of B.
- B is not an immediate neighbor of C.

Based on this arrangement, what is the position of F with respect to G?

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

Cevap

Second to the left
The correct seating sequence from left to right is A, E, F, C, G, D, B. Since F is in the third position and G is in the fifth position, F sits exactly two places to the left of G.

Adım Adım Çözüm

1
Determine the absolute position of C in the row.
Since C sits third to the right of the extreme left end (Position 1), C must be seated at Position 4.
This provides a fixed anchor point to evaluate the remaining relative conditions.
2
Determine the possible positions for G and B.
G sits second to the left of B, requiring the pattern (G _ B). B cannot be next to C (Positions 3 or 5). If B is at Position 6, G would be at Position 4, which is occupied. Therefore, B must be at Position 7, placing G at Position 5.
Eliminating invalid placements based on the negative constraint secures the right side of the arrangement.
3
Locate A, E, and F.
E sits exactly between A and F, requiring three consecutive empty seats. The only available consecutive sequence is Positions 1, 2, and 3. Thus, E must take Position 2.
Large contiguous blocks must fit into the remaining consecutive open spaces.
4
Finalize the exact positions of A, F, and D.
Since F cannot sit at an extreme end, F must take Position 3, leaving A at Position 1. The remaining chef, D, must sit in the only remaining seat at Position 6.
Applying the final negative constraint (F not at an end) resolves the ambiguity between A and F.
5
Evaluate F's position relative to G.
The final arrangement from left to right is A, E, F, C, G, D, B. F is at Position 3 and G is at Position 5. Therefore, F is second to the left of G.
This directly answers the specific question asked in the stem.

Anahtar Kavram

Linear arrangement with negative constraints and directional orientation
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Konular

Seating Arrangement

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