GATE BT 2025 • Q19 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Fundamentals of Linear Algebra

Question Statement:

Correctly match the following Product classes with their representative Products. Product class Product P. Biofuel 1. Cellulase Q. Bioplastic 2. Cephalosporin R. Industrial enzyme 3. Butanol S. Antibiotic 4. Poly-lactic acid 5. Rituximab

Options:

  • (A) P-1; Q-5; R-3; S-2
  • (B) P-3; Q-4; R-5; S-2
  • (C) P-3; Q-2; R-1; S-5
  • (D) P-3; Q-4; R-1; S-2

Official Answer Key:

D

Step-by-Step Solution & Explanation

### **Official Solution & Concept Analysis (GATE BT 2025 Q.19)** **1. Governing Concept**: - **Topic**: Bioinformatics & Pairwise Sequence Alignment Scoring Matrices - Amino acid substitution matrices (PAM and BLOSUM): - **BLOSUM matrices (BLOcks SUbstitution Matrix)**: Derived from local alignments of conserved protein blocks without gaps (Henikoff & Henikoff). - Higher numbered BLOSUM matrices (e.g. **BLOSUM80**) are based on alignments of blocks with $\ge 80\%$ identity and are optimal for aligning **closely related sequences**. - Lower numbered BLOSUM matrices (e.g. **BLOSUM45**) are derived from sequences with $\ge 45\%$ identity and are designed for finding **distantly related sequences**. - **BLOSUM62** is the standard default for general searches. **2. Option Analysis**: - **Option (A) is INCORRECT**: Higher PAM numbers (e.g. PAM250) are for distantly related sequences, whereas lower numbers (PAM1) are for close homologs. - **Option (B) is CORRECT**: BLOSUM62 is calibrated for intermediate evolutionary distances, while lower numbers (BLOSUM45) detect distant relationships and higher numbers (BLOSUM80) detect close homologs. - **Option (C) is INCORRECT**: PAM matrices are derived from global alignments of closely related families, not ungapped blocks. - **Option (D) is INCORRECT**: Inverts the BLOSUM matrix numbering scale. **3. Final Answer**: - **Correct Choice**: **B**

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