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Question

Difficulty: EasyQuantifier Logic (Some, Most, All)

In the city's botanical garden, all luminescent plants require high humidity. Furthermore, some luminescent plants in the botanical garden bloom at night.

Which one of the following must be true based on the information above?

  1. Some plants in the botanical garden that bloom at night require high humidity.Answer
  2. B
    Most luminescent plants in the botanical garden bloom at night.
  3. C
    All plants in the botanical garden that require high humidity are luminescent.
  4. D
    Any plant in the botanical garden that is not luminescent does not require high humidity.
  5. E
    The luminescent plants are the most difficult plants to maintain in the botanical garden.

Answer

Some plants in the botanical garden that bloom at night require high humidity.
The correct answer must be true because if 'some' (at least one) luminescent plants bloom at night, and 'all' luminescent plants require high humidity, then those specific night-blooming luminescent plants must also require high humidity. Therefore, there is at least one plant (some) that both blooms at night and requires high humidity.

Step-by-Step Solution

1
Analyze the first premise.
All luminescent plants require high humidity (Luminescent -> High Humidity).
This establishes a universal requirement for a specific group of plants.
2
Analyze the second premise.
Some luminescent plants bloom at night (Luminescent-some-Night Blooming).
This establishes that at least one plant belongs to both the 'luminescent' category and the 'night blooming' category.
3
Combine the premises to find the overlap.
Since the plants that are both luminescent and night-blooming are luminescent, they must also require high humidity.
Applying the universal rule from step 1 to the specific subset identified in step 2 proves that at least some night-blooming plants require high humidity.

Key Concept

Quantifier Logic Overlaps (All + Some)
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Topics

Quantifier Logic (Some, Most, All)

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