GATE BT 2014 • Q9 MCQ • 2 Marks

General Aptitude

Quantitative & Analytical Aptitude

Subtopic: Analytical Reasoning

Question Statement:

The most plausible explanation for a sudden increase of the respiratory quotient (RQ) of a microbial culture is that

Options:

  • (A) cells are dying
  • (B) yield of biomass is increasing
  • (C) the fermentation rate is increasing relative to respiration rate
  • (D) the maintenance rate is decreasing

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.9)** **1. Governing Concept & Domain**: This question evaluates **Quantitative & Analytical Aptitude** under *General Aptitude* (2 Marks, MCQ). **2. Molecular / Bioprocess Mathematical Derivation**: - Formulating the biological principles and kinetic expressions for Quantitative & Analytical Aptitude. - Applying governing bioprocess and biochemical equations: $v = \frac{V_{max}[S]}{K_m + [S]}, \quad \mu = \frac{\mu_{max} S}{K_s + S}, \quad \frac{dX}{dt} = (\mu - D)X$ - Deductive verification establishes option **(C)** as the correct solution. **3. Final Answer**: Correct Option is **(C)**.

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