GATE CS 2024 Set 1 | Question 8

MCQ · 2 marks · −0.66

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

Pie chart titled “Macronutrient energy contribution” with five slices: Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20% and Trans fat 5%.

The typical energy density (kcal/g) of these macronutrients is given in the table.

MacronutrientEnergy density (kcal/g)
Carbohydrates4
Proteins4
Unsaturated fat9
Saturated fat9
Trans fat9

The total fat (all three types), in grams, this person consumes is

  1. Option A: 44.4
  2. Option B: 77.8
  3. Option C: 100 (correct)
  4. Option D: 3,600

Answer

(C)

Explanation

The three kinds of fat together supply \(5\% + 20\% + 20\% = 45\%\) of the energy in the diet:

\[0.45 \times 2000 = 900\ \text{kcal}.\]

All three fats give 9 kcal per gram, so the person eats \(\frac{900}{9} = 100\) g of fat.

Option A, 44.4 g, counts only one of the 20% fat types (\(400 \div 9\)). Carbohydrates and proteins, at 4 kcal/g, play no part in the fat total.

Answer: C