GATE BT 2018 • Q37 NAT • 2 Marks

Section 1: Engineering Mathematics

Engineering Mathematics

Subtopic: Calculus, Linear Algebra & Probability

Question Statement:

An analysis of DNA-protein interactions was carried out using all DNA -protein complexes in the protein data bank (PDB). The frequency distribution of four amino acid residues , represented as P, Q, R and S, occurring in non-covalent interactions between the protein and DNA backbone is shown below. Which one of the following is correct? (A) P-Lys, Q-Arg, R-Gln, S-Glu (B) P-Gln, Q-Glu, R-Lys, S-Arg (C) P-Asn, Q-Asp, R-Arg, S-Lys (D) P-His, Q-Glu, R-Gln, S-Lys

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2018 Q.37)** **1. Governing Concept & Domain**: This question evaluates **Engineering Mathematics** under *Section 1: Engineering Mathematics* (2 Marks, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Engineering Mathematics})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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