When in a typical dihybrid cross in `F_(2)` generationone monohybrid genotype is present in 12 individual the total number of `F_(2)` offspring is

Options

A. 48
B. 24
C. 192
D. 96

Answer

To solve the problem, we need to analyze the information given about a dihybrid cross and the presence of a specific monohybrid genotype in the F2 generation.

### Step-by-Step Solution:

1. **Understanding Dihybrid Cross**: In a typical dihybrid cross, we are dealing with two traits, each represented by two alleles. The F2 generation results from the self-fertilization of F1 hybrids.

2. **Monohybrid Ratio in F2 Generation**: In a monohybrid cross, the phenotypic ratio in the F2 generation is typically 3:1 (dominant to recessive). This means that out of every 4 offspring, 3 will show the dominant trait and 1 will show the recessive trait.

3. **Given Information**: The problem states that one monohybrid genotype is present in 12 individuals in the F2 generation. This means that the 12 individuals represent the dominant phenotype.

4. **Calculating Total Offspring**: Since the ratio of dominant to recessive phenotypes is 3:1, we can set up the equation based on the number of dominant individuals:
- Let the total number of F2 offspring be \( x \).
- According to the ratio, \( \frac{3}{4}x = 12 \) (because 12 individuals represent the dominant phenotype).
- To find \( x \), we can rearrange the equation:
\[ x = \frac{12 \times 4}{3} = 16 \]

5. **Considering Dihybrid Cross**: However, since we are dealing with a dihybrid cross, we need to consider that each monohybrid genotype can occur in 4 different combinations (AA, Aa, Aa, aa). Therefore, we multiply the number of individuals with the monohybrid genotype by 4:
- Total F2 offspring = \( 12 \times 4 = 48 \).

6. **Final Answer**: The total number of F2 offspring in this dihybrid cross is 48.

### Conclusion:
The total number of F2 offspring is **48**.