According to Hardy-Weinberg principle, allele and genotype frequencies in a population will remain constant from generation to generation in the absence of other evolutionary influences. It makes several assumptions which were given below.
i. Random Mating
ii. Sexual Reproduction
iii. Non-overlapping Generations
iv. Occurrence of Natural Selection
v. Small size of population.
Identify two assumptions which do not meet for a population to reach Hardy-Weinberg Equilibrium?

Options

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

Explanation

To identify the two assumptions that do not meet for a population to reach Hardy-Weinberg Equilibrium, we need to analyze the assumptions provided in the question:

1. **Random Mating**: This assumption states that individuals in a population mate randomly. This is essential for maintaining allele frequencies.

2. **Sexual Reproduction**: Sexual reproduction introduces genetic variation, which is also necessary for maintaining equilibrium.

3. **Non-overlapping Generations**: This means that generations do not overlap, which is important for the stability of allele frequencies over time.

4. **Occurrence of Natural Selection**: Natural selection can change allele frequencies by favoring certain traits over others, which disrupts equilibrium.

5. **Small Size of Population**: A small population can lead to genetic drift, which can also change allele frequencies and disrupt equilibrium.

Now, let's identify which of these assumptions do not meet the criteria for Hardy-Weinberg Equilibrium:

### Step-by-Step Solution:

1. **Identify the Assumptions**: List the assumptions provided in the question.
- Random Mating
- Sexual Reproduction
- Non-overlapping Generations
- Occurrence of Natural Selection
- Small Size of Population

2. **Evaluate Each Assumption**:
- Random Mating: Necessary for equilibrium.
- Sexual Reproduction: Necessary for equilibrium.
- Non-overlapping Generations: Necessary for equilibrium.
- Occurrence of Natural Selection: This disrupts equilibrium.
- Small Size of Population: This disrupts equilibrium.

3. **Select the Two Assumptions That Do Not Meet**: From the evaluation, we find that:
- **Occurrence of Natural Selection** (4th assumption) does not meet the criteria for Hardy-Weinberg Equilibrium.
- **Small Size of Population** (5th assumption) also does not meet the criteria for Hardy-Weinberg Equilibrium.

4. **Conclusion**: The two assumptions that do not meet for a population to reach Hardy-Weinberg Equilibrium are:
- Occurrence of Natural Selection (4)
- Small Size of Population (5)

### Final Answer:
The two assumptions that do not meet for a population to reach Hardy-Weinberg Equilibrium are:
- Occurrence of Natural Selection (4)
- Small Size of Population (5)