Numerical: Species-area
Hardbiology
If a region shows a species-area relationship of S = 5A^0.25 (where S = number of species, A = area in km²), how many species are predicted in a 256 km² area?
Select the correct option:
Solution
Incorrect! Answer:
20
- Formula: S=C⋅Az, given as S=5⋅A0.25.
- Input Value: A=256 km2.
- Calculation:
- S=5×(256)0.25
- Note that exponent 0.25 is the same as the fourth root (4A).
- Fourth root of 256: We know 4×4=16, 16×4=64, 64×4=256. So, 4256=4.
- S=5×4=20.
- Conclusion: 20 species are predicted in this area.
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About This Question
- Subject
- biology
- Chapter
- diversity in living world
- Topic
- numerical: species-area
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
20
- Formula: S=C⋅Az, given as S=5⋅A0.25.
- Input Value: A=256 km2.
- Calculation:
- S=5×(256)0.25
- Note that exponent 0.25 is the same as the fourth root (4A).
- Fourth root of 256: We know 4×4=16, 16×4=64, 64×4=256. So, 4256=4.
- S=5×4=20.
- Conclusion: 20 species are predicted in this area.
This hard difficulty biology question is from the chapter diversity in living world, covering the topic of numerical: species-area. It appeared in the 2025 exam.
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