GATE BT 2012 • Q40 NAT • 2 Marks

Section 1: Engineering Mathematics

Engineering Mathematics

Subtopic: Calculus, Linear Algebra & Probability

Question Statement:

A disease is inherite d by a child with a probability of 1/4. In a family with two children, the probability that exactly one sibling is affected by this disease is (A) 1/4 (B) 3/8 (C) 7/16 (D) 9/16 2012 BIOTECHNOLOGY - BT BT 7/16

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.40)** **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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