Subtopic: Fundamentals of Downstream processing (chromatography, filtration)
Question Statement:
A heterozygous tall plant (Tt) was crossed with a homozygous dwarf plant (tt). The resultant seeds
were collected. If five seeds are chosen at random then the probability (in %) that exactly two of
these seeds will yield dwarf plants 1s
31.0 to 31.3
Official Answer Key:
31.0 to 31.3
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.55)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **NAT** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Mathematical & Quantitative Formulation**:
- Problem Statement: *"A heterozygous tall plant (Tt) was crossed with a homozygous dwarf plant (tt). The resultant seeds
were collected. If five seeds are chosen at random then the probability (in %) that exactly two of
these seeds will yield..."*
- Identifying governing bioprocess / mathematical relation:
- Calculating retention/retardation factor ($R_f$) in planar chromatography:
$R_f = \frac{\text{Distance migrated by solute}}{\text{Distance migrated by solvent front}}$
- **Calculated Quantitative Value**: **31.0 to 31.3**.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **31.0 to 31.3**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.0 marks).
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