GATE BT 2022 • Q54 MSQ • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?

Options:

  • (A) Dynamin binds GTP and is involved in vesicle budding
  • (B) Dynamin is involved in cytoskeletal remodelling
  • (C) Dynein binds ATP and is involved in movement of organelles along microtubules
  • (D) Dynein binds GTP and is involved in movement of organelles along microtubules .55 Consider a random variable X with mean 𝜇௑ = 0.1 and variance 𝜎௑ ଶ = 0.2. A new random variable Y = 2X + 1 is defined. The variance of the random variable Y (rounded off to one decimal place) is _________________.

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.54)** **1. Governing Concept & Domain**: This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, MSQ). **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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