Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
Consider a population of 10,000 individuals, of which 2500 are homozygotes (PP) and 3000 are
heterozygotes (Pp) genotype. The frequency of allele p in the population is _________ .
Options:
(A) 𝑥𝑥𝑥𝑥(𝑥𝑥−1)
(B) 𝑥𝑥𝑥𝑥−1
(C) 𝑥𝑥𝑥𝑥(1 + 𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙)
(D) 𝑒𝑒𝑥𝑥(1 + 𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙)
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.37)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **MCQ** (1 Mark)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"If 𝑦𝑦= 𝑥𝑥𝑥𝑥 , then
𝑑𝑑𝑑𝑑
𝑑𝑑𝑑𝑑 is..."*
- **Option (C) [CORRECT]**: *"𝑥𝑥𝑥𝑥(1 + 𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙)"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"𝑥𝑥𝑥𝑥(𝑥𝑥−1)"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"𝑥𝑥𝑥𝑥−1"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"𝑒𝑒𝑥𝑥(1 + 𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙)"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).
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