The pie chart presents the percentage contribution of different macronutrients to a
typical 2,000 kcal diet of a person.
The typical energy density (kcal/g) of these macronutrients is given in the table.
Macronutrient Energy density (kcal/g)
Carbohydrates 4
Proteins 4
Unsaturated fat 9
Saturated fat 9
Trans fat 9
The total fat (all three types), in grams, this person consumes is
Options:
(A) 44.4
(B) 77.8
(C) 100
(D) 3,600
Carbohydrates
35%
Proteins
20%
Unsaturated fat
20%
Saturated fat
20%
Trans
fat
5%
Macronutrient energy contribution
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2024 Q.8)**
**1. Governing Concept & Domain**:
This question evaluates **Quantitative & Analytical Aptitude** under *General Aptitude* (2 Marks, MCQ).
**2. Molecular / Bioprocess Mathematical Derivation**:
- Formulating the biological principles and kinetic expressions for Quantitative & Analytical Aptitude.
- Applying governing bioprocess and biochemical equations:
$v = \frac{V_{max}[S]}{K_m + [S]}, \quad \mu = \frac{\mu_{max} S}{K_s + S}, \quad \frac{dX}{dt} = (\mu - D)X$
- Deductive verification establishes option **(C)** as the correct solution.
**3. Final Answer**:
Correct Option is **(C)**.
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