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Zorluk: Çok zorAnalytical Puzzles and Grouping

Six officers—P, Q, R, S, T, and U—work in three different departments of a state administration: Finance, Administrative, and Revenue. At least one officer and at most three officers work in each department. Each officer drives a car of a different color among Blue, Red, Black, Green, White, and Yellow.

The following conditions are given:
1. P works in the Finance department and drives a Red car.
2. Q drives a Green car and does not work in the Revenue department.
3. The officer who drives the White car works in the same department as T.
4. R works in the Revenue department with only one other officer, who drives a Black car.
5. T drives a Yellow car and does not work in the Finance department.
6. S does not work in the Revenue department, and Q does not work in the same department as P.

Which of the following statements is definitely correct?

  1. U works in the Revenue department and drives a Black car, while R drives a Blue car.Cevap
  2. B
    Q works in the Finance department and drives a Green car.
  3. C
    S works in the Finance department and drives a White car.
  4. D
    T works in the Revenue department and drives a Yellow car.

Cevap

U works in the Revenue department and drives a Black car, while R drives a Blue car.
By step-by-step deduction, the Revenue department consists strictly of R and U. Since U drives the Black car mandated by the puzzle conditions, R must drive the remaining Blue car. Thus, the statement regarding U driving a Black car in Revenue and R driving a Blue car is unequivocally correct.

Adım Adım Çözüm

1
Analyze explicit car assignments and department restrictions.
P drives a Red car in Finance. Q drives a Green car. T drives a Yellow car.
Directly stated in conditions 1, 2, and 5.
2
Determine the members and car colors of the Revenue department.
Revenue has exactly two officers: R and U (who drives a Black car).
Condition 4 limits Revenue to R and one Black car driver. P (Finance), Q (not Revenue), S (not Revenue), and T (Yellow car) cannot be in Revenue. Thus, U must be the second officer in Revenue driving the Black car.
3
Deduce the department for T and assign remaining car colors.
T works in the Administrative department. R drives a Blue car and S drives a White car.
T cannot be in Finance or Revenue, placing T in Administrative. Condition 3 puts the White car driver in T's department (Administrative). Since R is in Revenue, R cannot drive White; hence R drives Blue and S drives White.
4
Assign Q to a department.
Q works in the Administrative department.
Condition 6 excludes Q from P's department (Finance), and condition 2 excludes Q from Revenue, leaving Administrative for Q.

Anahtar Kavram

Multi-attribute constraint satisfaction and logical elimination in analytical grouping puzzles.
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Konular

Analytical Puzzles and Grouping

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