GATE BT 2013 • Q18 MCQ • 1 Mark

Section 2: General Biotechnology

Biomolecules, enzyme kinetics

Subtopic: Fundamentals of Biomolecules, enzyme kinetics

Question Statement:

If ௬), then డ௨ డ௫ ൅ డ௨ డ௬ = (A) ௫ + ௬ (B) ௬ (C) ଵ ௘ೣ ା ௘೤ (D) 1

Options:

  • (A) ௫ + ௬
  • (B) ௬
  • (C) ଵ ௘ೣ ା ௘೤
  • (D) 1

Official Answer Key:

D

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.18)** **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 ௬), then డ௨ డ௫ ൅ డ௨ డ௬ =..."* - **Option (D) [CORRECT]**: *"1"* - Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required. - **Option (A) [INCORRECT]**: *"௫ + ௬"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (B) [INCORRECT]**: *"௬"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (C) [INCORRECT]**: *"ଵ ௘ೣ ା ௘೤"* does not satisfy the precise boundary conditions or molecular specificity. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **D** - **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).

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