GATE BT 2019 • Q58 NAT • 2 Marks

General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

The molecular mass of a protein is 22 kDa. The size of the cDNA (excluding the untranslated regions) that codes for this protein is kb (rounded off to 1 decimal place). GATE 2019 Biotechnology 2.49 A new game is being introduced in a casino. A player can lose Rs. 100, break even, win Rs. 100, or win Rs. 500. The probabilities (P(X)) of each of these outcomes (X) are given in the following table: X (in Rs.) -100 100 500 P (X)

Official Answer Key:

0.6 to 0.6

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2019 Q.58)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **NAT** (2 Marks) - **Core Topic**: Biochemistry, Microbiology & Molecular Biology **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Mathematical & Quantitative Formulation**: - Problem Statement: *"The molecular mass of a protein is 22 kDa. The size of the cDNA (excluding the untranslated regions) that codes for this protein is kb (rounded off to 1 decimal place). GATE 2019 Biotechnology 2.49 A new game is being ..."* - 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**: **0.6 to 0.6**. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **0.6 to 0.6** - **Scoring Criteria**: 2 Marks (Negative marking: -0.0 marks).

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