GATE BT 2020 • Q31 NAT • 1 Mark

Section 2: General Biotechnology

Biomolecules, enzyme kinetics

Subtopic: Fundamentals of Biomolecules, enzyme kinetics

Question Statement:

The number of molecules of a nucleotide of molecular weight 300 g/mol present in 10 picomoles is x 10'2 (round off to 2 decimal places).

Official Answer Key:

5.99 to 6.05

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2020 Q.31)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **NAT** (1 Mark) - **Core Topic**: Biochemistry, Microbiology & Molecular Biology **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Mathematical & Quantitative Formulation**: - Problem Statement: *"The number of molecules of a nucleotide of molecular weight 300 g/mol present in 10 picomoles is x 10'2 (round off to 2 decimal places)...."* - Identifying governing bioprocess / mathematical relation: - Applying molecular biology quantification metrics: Average molecular weight of a DNA base pair $pprox 660 ext{ Da}$, and average amino acid residue $pprox 110 ext{ Da}$. $\text{Number of base pairs} = \frac{\text{Molecular Weight (Da)}}{660\text{ Da/bp}}$ - **Calculated Quantitative Value**: **5.99 to 6.05**. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **5.99 to 6.05** - **Scoring Criteria**: 1 Mark (Negative marking: -0.0 marks).

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