Biomolecules, enzyme kinetics

### **Official Solution & Step-by-Step Derivation (GATE BT 2017 Q.4)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **NAT** (1 Mark) - **Core Topic**: Quantitative & Analytical Aptitude **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Mathematical & Quantitative Formulation**: - Problem Statement: *"meter is The surface area (in m?) of the largest sphere that can fit into a hollow cube with edges of length 1 Given data: n = 3.14..."* - Identifying governing bioprocess / mathematical relation: - Applying geometric boundary formulations: $\text{Sphere Surface Area} = 4\pi r^2 = \pi d^2$ For a sphere perfectly inscribed in a unit cube ($d = 1 ext{ m}$): $\text{Area} = 3.14 \times (1)^2 = 3.14\text{ m}^2$ - **Official Answer Key Interval**: Evaluated numerical range is **3.1 to 3.2** (Target value: **3.1 to 3.2**). **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **3.1 to 3.2** - **Scoring Criteria**: 1 Mark (Negative marking: -0.0 marks).