Assertion : Test cross is the cross between the `F_(1)` progeny and either of the parenty types
Reason : Back cross is rhe cross between `F_(1)` progeny and the double recessive genotype

Options

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion.
B. If both the assertion and the reason are true but the reason is not a correct explanation of the assertion.
C. If the assertion is true but the reason is false.
D. If both the assertion and reason are false.

Explanation

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that a test cross is the cross between the F1 progeny and either of the parental types.
- **Evaluation**: This is incorrect because a test cross specifically involves crossing the F1 progeny with a homozygous recessive parent to determine the genotype of the dominant parent.

2. **Understanding the Reason**:
- The reason states that a back cross is the cross between the F1 progeny and the double recessive genotype.
- **Evaluation**: This is also incorrect. A back cross refers to crossing the F1 progeny with one of the original parental types (which can be either dominant or recessive), not specifically with the double recessive genotype.

3. **Conclusion**:
- Since both the assertion and the reason are false, we conclude that the correct answer is that both statements are incorrect.

### Final Answer:
Both the assertion and the reason are false.

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