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Difficulty: EasyStatement and Conclusions or Inferences

Read the following statements carefully:

1. All department managers attend the weekly policy briefing.
2. All people who attend the weekly policy briefing receive the confidential financial report.

Based ONLY on the statements above, which of the following conclusions logically follow?

  1. All department managers receive the confidential financial report.Answer
  2. Some people who receive the confidential financial report are department managers.Answer
  3. C
    Anyone who receives the confidential financial report must be a department manager.
  4. D
    Some department managers do not receive the confidential financial report.

Answer

The valid conclusions are that all department managers receive the confidential financial report, and consequently, some people who receive the report are department managers.
By combining the two statements using transitive logic, if every manager attends the briefing, and everyone at the briefing receives the report, then every manager must receive the report. Furthermore, if all managers receive the report, it is a valid logical conversion to say that at least some of the people receiving the report are managers.

Step-by-Step Solution

1
Analyze the first statement regarding department managers.
Establishes that the entire group of 'department managers' is included within the group of 'people who attend the weekly policy briefing'.
To define the logical relationship and boundaries between managers and briefing attendees.
2
Analyze the second statement regarding briefing attendees.
Establishes that the entire group of 'people who attend the weekly policy briefing' is included within the group of 'people who receive the confidential financial report'.
To define the relationship between attendees and those who receive the report.
3
Combine the relationships from both statements.
It is logically proven that all department managers receive the confidential financial report (A is B, B is C, therefore A is C). Furthermore, since managers receive the report, the group of report recipients must contain those managers.
To derive all direct and converted logical conclusions using transitive logic.

Key Concept

Logical Deduction and Syllogism (Universal Affirmative)
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Topics

Statement and Conclusions or Inferences

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