GATE BT 2015 • Q29 MCQ • 1 Mark

Section 2: General Biotechnology

Biomolecules, enzyme kinetics

Subtopic: Fundamentals of Biomolecules, enzyme kinetics

Question Statement:

acids? How many different protein sequences of 100 residues can be generated using 20 standard amino

Options:

  • (A) 10020
  • (B) 100 × 20
  • (C) 20100
  • (D) 100! × 20!

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.29)** **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: *"acids? How many different protein sequences of 100 residues can be generated using 20 standard amino..."* - **Option (C) [CORRECT]**: *"20100"* - Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required. - **Option (A) [INCORRECT]**: *"10020"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (B) [INCORRECT]**: *"100 × 20"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (D) [INCORRECT]**: *"100! × 20! Options : 1. * A 2. * B 3. 9 C 4. * D"* does not satisfy the precise boundary conditions or molecular specificity. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **C** - **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).

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