Which of the following are correct for numerical taxonomy ?
(i) Based on all observed characteristics.
(ii) Uses chemical constituents of the plant to resolved confusion .
(iii) Based on cytological information like chromosome number , structure and behavior .
(iv) Number and codes assigned to a few characters.
(v) At the same time , hundreds of characters can be considered .
(vi) Carried out using computers .

Options

A. i, v, vi
B. iii, iv ,v
C. i, iv , v , vi
D. ii , ii , v , vi

Answer

To solve the question regarding which statements are correct for numerical taxonomy, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement (i): Based on all observed characteristics.**
- **Analysis:** This statement is correct. Numerical taxonomy involves the classification of organisms based on all observable characteristics, which can include morphological, anatomical, and ecological traits.
- **Conclusion:** Correct.

2. **Statement (ii): Uses chemical constituents of the plant to resolve confusion.**
- **Analysis:** This statement is incorrect. While chemical constituents can provide valuable information, numerical taxonomy primarily focuses on observable traits rather than chemical analysis to resolve classification issues.
- **Conclusion:** Incorrect.

3. **Statement (iii): Based on cytological information like chromosome number, structure, and behavior.**
- **Analysis:** This statement is also incorrect. Numerical taxonomy does not specifically focus on cytological data such as chromosome number or behavior; it emphasizes a broader range of observable characteristics.
- **Conclusion:** Incorrect.

4. **Statement (iv): Number and codes assigned to a few characters.**
- **Analysis:** This statement is incorrect. Numerical taxonomy assigns numbers and codes to a large number of characters, not just a few, to facilitate analysis and comparison.
- **Conclusion:** Incorrect.

5. **Statement (v): At the same time, hundreds of characters can be considered.**
- **Analysis:** This statement is correct. One of the strengths of numerical taxonomy is its ability to consider a large number of characters simultaneously, allowing for a more comprehensive classification.
- **Conclusion:** Correct.

6. **Statement (vi): Carried out using computers.**
- **Analysis:** This statement is correct. Modern numerical taxonomy often utilizes computer software to analyze data and perform statistical analyses, making it easier to handle large datasets.
- **Conclusion:** Correct.

### Final Conclusion:
The correct statements regarding numerical taxonomy are:
- (i) Based on all observed characteristics.
- (v) At the same time, hundreds of characters can be considered.
- (vi) Carried out using computers.

Thus, the correct options are **(i), (v), and (vi)**.