GATE BT 2014 • Q51 NAT • 1 Mark

Section 2: General Biotechnology

Cell structure and signaling

Subtopic: Fundamentals of Cell structure and signaling

Question Statement:

In a mouse genome, the numbers of functional Vα, Jα, Vβ, Dβ, Jβ gene segments are 79, 38, 21, 2 and 11, respectively. The total number of possible combinations for αβ T cell receptors are _____x106. BT (GATE 2014) GATE 2014 SET-1 BIOTECHNOLOGY – BT

Official Answer Key:

1.39

Step-by-Step Solution & Explanation

### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2014 Q.51)** **1. Governing Concept & Definition**: - **Topic**: Immunology & V(D)J Recombination Diversity - Combinatorial joining of gene segments for TCR $\alpha$ and $\beta$ chains: $\text{Combinations} = (V_\alpha \times J_\alpha) \times (V_\beta \times D_\beta \times J_\beta)$ **2. Detailed Step-by-Step Calculation**: - Normalizing and calculating diversity factor gives 1.39. **3. Final Answer**: - **Calculated Value**: **1.39** - **Official GATE Accepted Range**: **1.38 to 1.40**

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