GATE BT 2022 • Q49
MCQ • 2 Marks
Section 2: General Biotechnology
Biochemistry, Microbiology & Molecular Biology
Subtopic: Enzyme Kinetics, Cell Biology & Metabolism
Question Statement:
Which of the following is(are) COMMON feature(s) for both aerobic and
anaerobic bacterial cultures?
Options:
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(A) At low glucose level, the operon is activated
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(B) At high glucose level, the operon is activated to enable the utilization of lactose
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(C) The lac repressor binds to operator region inactivating the operon
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(D) Binding of lactose to the lac repressor induces the operon
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.49)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, MCQ).
**2. Molecular / Bioprocess Mathematical Derivation**:
- Formulating the biological principles and kinetic expressions for Biochemistry, Microbiology & Molecular Biology.
- 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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