Assertion: Eubacteria and Archaebacteria have same outer cell wall structure.
Reason: They both lack peptidoglycan in their cell wall

Options

A. If both A and R are true, and R is the correct explanation of A
B. If both A and R are true, but R is not the correct explanation of A
C. If A is true but R is false
D. If both A and R are false

Answer

To analyze the assertion and reason provided in the question, we will break down the information step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "Eubacteria and Archaebacteria have the same outer cell wall structure."
- We need to determine if this statement is true or false.

2. **Understanding the Reason**:
- The reason given is "They both lack peptidoglycan in their cell wall."
- We need to evaluate if this reason is true or false.

3. **Analyzing Eubacteria**:
- Eubacteria (or true bacteria) typically have a cell wall made of peptidoglycan. This is a key characteristic that distinguishes them from Archaebacteria.

4. **Analyzing Archaebacteria**:
- Archaebacteria, on the other hand, do not have peptidoglycan in their cell walls. Instead, their cell walls are made of different substances, such as pseudopeptidoglycan or other polymers.

5. **Conclusion on the Assertion**:
- Since Eubacteria have peptidoglycan in their cell walls and Archaebacteria do not, the assertion that they have the same outer cell wall structure is **false**.

6. **Conclusion on the Reason**:
- The reason states that both lack peptidoglycan, which is **true for Archaebacteria** but **false for Eubacteria**. Therefore, the reason is **false**.

7. **Final Evaluation**:
- Since the assertion is false and the reason is also false, the correct relationship between the assertion and reason is that the assertion is not supported by the reason given.

### Final Answer:
- The assertion is false, and the reason is also false. Thus, the correct answer is that the assertion is true but the reason is false.