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Difficulty: EasyCannot Be True Questions

Consider the following premises:
All certified lifeguards at Ocean Beach must be able to swim a mile in under 20 minutes. Only individuals who have completed the advanced water rescue course are certified lifeguards at Ocean Beach.

Based on these premises, the scenario in which an individual is a certified lifeguard at Ocean Beach without having completed the advanced water rescue course cannot be true.

Answer: Answer

Answer

True
The evaluation is true. The premises establish that completing the rescue course is a strict necessary condition for being a lifeguard. A scenario that claims someone is a lifeguard without having taken the course directly violates this condition, meaning the scenario logically cannot be true.

Step-by-Step Solution

1
Analyze the conditional statements in the premises.
The key premise is 'Only individuals who have completed the advanced water rescue course are certified lifeguards at Ocean Beach.'
Identifying formal logic relationships is necessary to determine what is and isn't logically possible.
2
Translate the key premise into a formal conditional relationship.
The word 'only' introduces the necessary condition. Translation: If an individual is a certified lifeguard (sufficient condition), then they must have completed the advanced water rescue course (necessary condition).
Standardizing the logic prevents misinterpretation of sufficient and necessary conditions.
3
Evaluate the proposed scenario against the conditional relationship.
The scenario proposes someone is a certified lifeguard (sufficient condition met) but has NOT completed the course (necessary condition not met).
A scenario cannot logically exist if it affirms a sufficient condition but denies its absolute necessary requirement.
4
Determine the truth value of the evaluation statement.
Since the scenario directly contradicts the established premises, it indeed cannot be true. Therefore, the statement claiming the scenario cannot be true is accurate.
Finalizing the logical deduction to directly answer the prompt.

Key Concept

Identifying logically impossible scenarios based on strict conditional reasoning and necessary conditions introduced by the word 'only'.
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