GATE BT 2013 • Q16 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Fundamentals of Linear Algebra

Question Statement:

The suitable substitution matrix to align closely related sequences is (A) PAM 250 or BLOSSUM 80 (B) PAM 40 or BLOSSUM 80 (C) PAM 120 or BLOSSUM 40 (D) PAM 250 or BLOSSUM 40

Options:

  • (A) PAM 250 or BLOSSUM 80
  • (B) PAM 40 or BLOSSUM 80
  • (C) PAM 120 or BLOSSUM 40
  • (D) PAM 250 or BLOSSUM 40

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.16)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **MCQ** (1 Mark) - **Core Topic**: Engineering Mathematics **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Systematic Conceptual & Option-by-Option Evaluation**: - Problem Focus: *"The suitable substitution matrix to align closely related sequences is..."* - **Option (B) [CORRECT]**: *"PAM 40 or BLOSSUM 80"* - Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required. - **Option (A) [INCORRECT]**: *"PAM 250 or BLOSSUM 80"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (C) [INCORRECT]**: *"PAM 120 or BLOSSUM 40"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (D) [INCORRECT]**: *"PAM 250 or BLOSSUM 40"* does not satisfy the precise boundary conditions or molecular specificity. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **B** - **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).

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