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Zorluk: OrtaAnalytical Puzzles and Grouping

Six software engineers—Harry, Ian, Jack, Kevin, Liam, and Mike—are divided into exactly three two-person teams: Frontend, Backend, and Data.

There are two Junior engineers (Harry and Liam) and four Senior engineers (Ian, Jack, Kevin, and Mike).

The team assignments must adhere to the following conditions:
- Each team must have at least one Senior engineer.
- Jack and Mike cannot be assigned to the same team.
- Kevin is assigned to the Backend team.
- Harry is assigned to the Data team.
- Ian is not assigned to the Frontend team.

Based on the rules above, which of the following statements MUST be true?

  1. Liam is assigned to the Frontend team.Cevap
  2. B
    Ian is assigned to the Backend team.
  3. C
    Jack is assigned to the Data team.
  4. D
    Liam is assigned to the Backend team.

Cevap

Liam is assigned to the Frontend team.
By analyzing the distribution of Junior and Senior engineers, each team can have at most one Junior. Harry is on the Data team, so the other Junior, Liam, must be on either the Frontend or Backend team. If Liam is on the Backend team, the Frontend team must consist of two Seniors. The remaining Seniors for the two Frontend spots would be chosen from Ian, Jack, and Mike. Since Ian cannot be on the Frontend team, Jack and Mike would have to form the Frontend team. This violates the explicit rule that Jack and Mike cannot be on the same team. Therefore, Liam cannot be on the Backend team and must unconditionally be assigned to the Frontend team.

Adım Adım Çözüm

1
Analyze team composition constraints regarding seniority.
With 3 teams and 2 Juniors, no team can have two Juniors because every team needs at least one Senior. So, the two Juniors (Harry and Liam) must be on different teams.
To establish the structural limits of how Juniors can be distributed.
2
Place the known assignments into the teams.
The Data team has Harry (Junior) and needs one Senior. The Backend team has Kevin (Senior) and has one open spot. The Frontend team has two open spots.
To apply the direct, absolute conditions provided in the prompt.
3
Test the possible assignments for the second Junior engineer, Liam.
Liam cannot be on the Data team because Harry is already there. If Liam is placed on the Backend team, the Frontend team's two spots must be filled by Seniors.
To see if Liam can be placed anywhere other than the Frontend team.
4
Evaluate the consequences of placing Liam on the Backend team.
If Liam is on Backend, Frontend must have two Seniors. The available Seniors are Ian, Jack, and Mike. Since Ian cannot be on Frontend, Jack and Mike must form the Frontend team. However, this violates the rule that Jack and Mike cannot be together.
To check for logical contradictions caused by negative constraints.
5
Conclude Liam's only valid placement.
Since placing Liam on the Backend team creates a contradiction, and he cannot be on the Data team, Liam must be assigned to the Frontend team.
By eliminating all other possibilities, the remaining option must be true.

Anahtar Kavram

Logical Deduction and Constraint Satisfaction
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Konular

Analytical Puzzles and Grouping

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