GATE BT 2013 • Q53 NAT • 2 Marks

Section 1: Engineering Mathematics

Engineering Mathematics

Subtopic: Calculus, Linear Algebra & Probability

Question Statement:

The number of clones to represent this fragment in genomic library with a probability of 95% are (A) 5.9 x103 (B) 4.5 x103 (C) 3.6 x103 (D) 2.4 x103 Statement for Linked Answer Questions 54 and 55: During sterilization of a fermentation medium in a given bioreactorheating= 12.56, cooling = 7.48 and the total value of  required for whole sterilization process is 52, where  is the design criteria.

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.53)** **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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