GATE CS 2024 Set 1 Q.8: Data Interpretation and Graphs

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

Pie chart of Macronutrient energy contribution: Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%.

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

44.4

77.8

100

3,600

Official answer and solution

Official answer: C
From: Official GATE 2024 answer key

Solution

Sum the energy percentages of the three fat categories, compute the total fat calories out of 2,000 kcal, and divide by the energy density of 9 kcal/g.

Total percentage of energy from all three types of fat: $\text{Total fat \%} = 20\%\text{ (Unsaturated)} + 20\%\text{ (Saturated)} + 5\%\text{ (Trans)} = 45\%$
Total energy from fat: $E_{\text{fat}} = 45\% \text{ of } 2,000\text{ kcal} = 0.45 \times 2,000 = 900\text{ kcal}$
Total mass of fat in grams:
Since each type of fat has an energy density of $9\text{ kcal/g}$ : $\text{Total fat (g)} = \frac{900\text{ kcal}}{9\text{ kcal/g}} = 100\text{ g}$

Final answer

Option (C)

Common trap

Forgetting to include Trans fat (5%) or dividing 400 kcal (for a single fat type) by 9 kcal/g to get 44.4 g.

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper: GATE 2024 Computer Science and Information Technology - Set 1 (CS1)
Question: 8 of 65
Section: General Aptitude

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