Consider the following statement.
A . Temperature is the most ecologically relevant environmental factor.
B. Temperature increases progressively from the equator towards the poles and from plains to the mountain tops.
C. Diversity is not an important characteristic of living organisms .
D. Mongo trees do not and cannot grow in temperate countries like Canada and Germany.
Of the above statements:

Options

A. B and D are correct
B. A and B are correct
C. A and C are correct
D. A and D are correct

Answer

To solve the question, we need to analyze each statement provided and determine their correctness.

### Step-by-Step Solution:

1. **Statement A: "Temperature is the most ecologically relevant environmental factor."**
- This statement is **correct**. Temperature significantly influences the distribution of organisms, their metabolic rates, and overall ecosystem dynamics. It affects both biotic (living) and abiotic (non-living) components of the environment.

2. **Statement B: "Temperature increases progressively from the equator towards the poles and from plains to the mountain tops."**
- This statement is **incorrect**. In reality, temperature generally decreases as one moves from the equator towards the poles due to the angle of sunlight and atmospheric conditions. Additionally, temperature typically decreases with altitude in mountainous regions, not increases.

3. **Statement C: "Diversity is not an important characteristic of living organisms."**
- This statement is **incorrect**. Biodiversity is a crucial aspect of ecosystems and living organisms. It contributes to resilience, productivity, and the ability of ecosystems to adapt to changes.

4. **Statement D: "Mango trees do not and cannot grow in temperate countries like Canada and Germany."**
- This statement is **correct**. Mango trees thrive in tropical climates and do not grow in temperate regions due to their specific temperature and climate requirements.

### Conclusion:
- From the analysis:
- Statement A is correct.
- Statement B is incorrect.
- Statement C is incorrect.
- Statement D is correct.

Thus, the correct statements are A and D.

### Final Answer:
The correct answer is that **A and D are correct**.