Number of meiotic divisions required to produce 200/400 seeds of Pea would be

Options

A. `200//400`
B. `400//800`
C. `300//600`
D. `250//500`

Explanation

To determine the number of meiotic divisions required to produce 200 to 400 seeds of pea, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Requirement for Seed Formation**:
- Each seed is formed from one male gamete and one female gamete. Thus, to produce one seed, we need one pollen grain (which contains the male gamete) and one egg cell (which contains the female gamete).

2. **Determine the Number of Pollen Grains Needed**:
- For 200 seeds, we need 200 pollen grains.
- For 400 seeds, we need 400 pollen grains.

3. **Calculate Meiotic Divisions for Pollen Grains**:
- One meiotic division produces four pollen grains. Therefore, to find out how many meiotic divisions are needed for 200 pollen grains:
- \( \text{Number of meiotic divisions} = \frac{200 \text{ pollen grains}}{4 \text{ pollen grains per division}} = 50 \text{ meiotic divisions} \)
- Similarly, for 400 pollen grains:
- \( \text{Number of meiotic divisions} = \frac{400 \text{ pollen grains}}{4 \text{ pollen grains per division}} = 100 \text{ meiotic divisions} \)

4. **Determine the Number of Egg Cells Needed**:
- For 200 seeds, we need 200 egg cells.
- For 400 seeds, we need 400 egg cells.

5. **Calculate Meiotic Divisions for Egg Cells**:
- Each egg cell is formed from one meiotic division. Therefore, for 200 egg cells:
- \( \text{Number of meiotic divisions} = 200 \text{ meiotic divisions} \)
- For 400 egg cells:
- \( \text{Number of meiotic divisions} = 400 \text{ meiotic divisions} \)

6. **Total Meiotic Divisions for 200 Seeds**:
- Total meiotic divisions for 200 seeds = meiotic divisions for pollen grains + meiotic divisions for egg cells
- \( 50 + 200 = 250 \text{ meiotic divisions} \)

7. **Total Meiotic Divisions for 400 Seeds**:
- Total meiotic divisions for 400 seeds = meiotic divisions for pollen grains + meiotic divisions for egg cells
- \( 100 + 400 = 500 \text{ meiotic divisions} \)

8. **Final Answer**:
- Therefore, the number of meiotic divisions required to produce 200 to 400 seeds of pea is between 250 and 500 meiotic divisions.