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Difficulty: EasyStatement and Conclusions or Inferences

Evaluate the following assertions and the subsequent logical deductions to determine which inference validly holds true.

Statements:
1. Every newly recruited inspector is required to complete a six-week physical training module.
2. Rahul is a newly recruited inspector.

Conclusions:
I. Rahul is required to complete a six-week physical training module.
II. Rahul has successfully passed the physical training module.

Which of the following options correctly identifies the valid conclusion(s)?

  1. Only conclusion I followsAnswer
  2. B
    Only conclusion II follows
  3. C
    Both conclusions I and II follow
  4. D
    Neither conclusion I nor conclusion II follows

Answer

The option stating that only conclusion I follows is the correct answer.
The correct answer accurately identifies that only the first conclusion is a valid logical deduction. Statement 1 establishes a rule for all newly recruited inspectors, and Statement 2 confirms Rahul is in this category. Applying basic syllogism, the rule must apply to Rahul. The second conclusion is an assumption about an event (passing the module) that is not supported by the given text.

Step-by-Step Solution

1
Analyze the first statement.
The statement establishes a universal rule: If a person is a newly recruited inspector, then that person must complete a six-week physical training module.
To identify the general premise.
2
Analyze the second statement.
The statement identifies a specific fact: Rahul belongs to the group of 'newly recruited inspectors'.
To identify the specific premise.
3
Evaluate Conclusion I based on the statements.
Since Rahul is a newly recruited inspector, the rule from statement 1 directly applies to him. Therefore, Conclusion I logically follows.
To test the validity of the first deduction.
4
Evaluate Conclusion II based on the statements.
The statements only mention that the training is a 'requirement'. They do not provide any information about whether Rahul has started, finished, or passed this training. Therefore, Conclusion II does not follow.
To test the validity of the second deduction by checking for unsupported assumptions.

Key Concept

Statement and Conclusions or Inferences
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Topics

Statement and Conclusions or Inferences

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