GATE CS 2024 Set 1 — Question 8

MCQ+2 / -0.67EasyData Interpretation (Bar, Pie, Graphs, Tables)Quantitative AptitudeGeneral Aptitude

General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)

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Question

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
Pie chart showing macronutrient energy contribution
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
A.
44.4
B.
77.8
C.
100
D.
3,600

Correct answer

(C) 100

Solution

Given:
  • Total energy intake = 2,0002,000 kcal.
  • Energy density of fats (Unsaturated, Saturated, Trans) = 99 kcal/g.
From the pie chart, the percentage contribution of the fat components are:
  • Unsaturated fat: 20%20\%
  • Saturated fat: 20%20\%
  • Trans fat: 5%5\%
Total percentage of energy from fat:20%+20%+5%=45%20\% + 20\% + 5\% = 45\%Total energy contributed by fat:0.45×2,000 kcal=900 kcal0.45 \times 2,000 \text{ kcal} = 900 \text{ kcal}Total mass of fat in grams:Mass=Total EnergyEnergy Density\text{Mass} = \frac{\text{Total Energy}}{\text{Energy Density}}Mass=9009=100 grams\text{Mass} = \frac{900}{9} = 100 \text{ grams}

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