Tree pea plant P, Q and R each having inflated green pods are allowed to grow under natural conditions. 1000 sees from each plant were collected and there were sown to see the properties of their progenies . The following were the observations :
`{:(P,Q,R),("1000 have inflated green pods ","242 constricted green pods 758 inflated green pods","741 inflated green pod 259 inflated yellow pod "):}`
The correct genotypes of these three plants are

Options

A. `P-IIGG,Q-IiGg,R-IIGg`
B. `P-Iigg,Q-IiGG,R-IiGg`
C. `P-IIGG,Q-IiGG,R-IIGg`
D. `P-Iigg,Q-Iigg,R-IIGg`

Answer

To determine the correct genotypes of the pea plants P, Q, and R based on the observations provided, we can analyze the data step by step.

### Step 1: Analyze Plant P
- **Observation**: All 1000 seeds from plant P have inflated green pods.
- **Conclusion**: Since all offspring show the dominant trait (inflated pods), plant P must be homozygous for both traits (inflated and green). Therefore, the genotype of P is:
- **Genotype of P**: \(II GG\) (where \(I\) represents the dominant allele for inflated pods and \(G\) represents the dominant allele for green color).

### Step 2: Analyze Plant Q
- **Observation**: 242 constricted green pods and 758 inflated green pods.
- **Analysis**:
- The presence of constricted pods (recessive trait) indicates that plant Q must be heterozygous for the pod shape trait.
- The ratio of constricted to inflated pods is approximately 1:3 (242 constricted to 758 inflated), which is consistent with a heterozygous cross ( \(I i\) x \(I i\)).
- Since all pods are green, plant Q must be homozygous for the green color trait.
- **Conclusion**: Therefore, the genotype of Q is:
- **Genotype of Q**: \(I i GG\).

### Step 3: Analyze Plant R
- **Observation**: 741 inflated green pods and 259 inflated yellow pods.
- **Analysis**:
- The presence of yellow pods indicates that plant R must be heterozygous for the color trait (since yellow is recessive).
- The ratio of inflated green to inflated yellow pods is approximately 3:1 (741 green to 259 yellow), which is consistent with a heterozygous cross for color ( \(G g\) x \(G g\)).
- Since all pods are inflated, plant R must be homozygous for the pod shape trait.
- **Conclusion**: Therefore, the genotype of R is:
- **Genotype of R**: \(II Gg\).

### Summary of Genotypes
- **Genotype of P**: \(II GG\)
- **Genotype of Q**: \(I i GG\)
- **Genotype of R**: \(II Gg\)

### Final Answer
The correct genotypes of the three plants are:
- P: \(II GG\)
- Q: \(I i GG\)
- R: \(II Gg\)