GATE BT 2016 • Q55 NAT • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

Consider the equation 2 aSV SbS c   Given a = 4, b = 1 and c = 9, the positive value of S at which V is maximum, will be _______. END OF THE QUESTION PAPER Q. No Type Section Key Marks 1 MCQ GA B 1 2 MCQ GA A 1 3 MCQ GA D 1 4 MCQ GA C 1 5 MCQ GA B 1 6 MCQ GA C 2 7 MCQ GA C 2 8 MCQ GA C 2 9 MCQ GA A 2 10 MCQ GA C 2 1 MCQ BT C 1 2 MCQ BT D 1 3 MCQ BT D 1 4 MCQ BT B 1 5 MCQ BT D 1 6 MCQ BT D 1 7 MCQ BT B 1 8 MCQ BT D 1 9 MCQ BT B 1 10 MCQ BT D 1 11 MCQ BT B 1 12 MCQ BT D 1 13 MCQ BT A ; D 1 14 MCQ BT C 1 15 MCQ BT D 1 16 MCQ BT C 1 17 MCQ BT B 1 18 MCQ BT B 1 19 MCQ BT C 1 20 NAT BT 625.0 : 625.0 1 21 MCQ BT B 1 22 NAT BT 24.5 : 28.5 1 23 NAT BT 3.0 : 3.0 1 24 MCQ BT C 1 25 NAT BT 1.65 : 1.75 1 26 MCQ BT A 2 27 MCQ BT C 2 28 MCQ BT B 2 29 MCQ BT A 2 30 MCQ BT B 2 31 MCQ BT B 2 32 MCQ BT D 2 33 MCQ BT C 2 34 NAT BT 1.3 : 1.8 2 35 NAT BT 147.0 : 170.0 2 36 MCQ BT C 2 37 MCQ BT B ; D 2 38 MCQ BT C 2 39 MCQ BT C 2 40 MCQ BT A 2 41 MCQ BT B 2 42 NAT BT 8.6 : 9.4 2 43 NAT BT 0.37 : 0.43 2 44 NAT BT 525.0 : 555.0 2 45 MCQ BT B 2 46 NAT BT 1.9 : 2.0 2 47 NAT BT 3.65 : 3.75 2 48 NAT BT 3.6 : 3.8 2 49 MCQ BT B 2 50 NAT BT 4986 : 4989 2 51 NAT BT 1000.0 : 1000.0 2 52 NAT BT 7.5 : 7.5 2 53 NAT BT 14.55 : 14.75 2 54 NAT BT 160.0 : 160.0 2 55 NAT BT 3.0 : 3.0 2

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2016 Q.55)** **1. Governing Concept & Domain**: This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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