GATE ECE 2024 | GA | Question: 8

Question

The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index $\text{(BMI)}$ in $2003$ and $2023$.

 

Based on the data provided, which one of the following options is INCORRECT?

• A. The ratio of the percentage of population falling into overweight category to the percentage of population falling into normal category has increased in $20$ years.
• B. The ratio of the percentage of population falling into underweight category to the percentage of population falling into normal category has decreased in $20$ years.
• C. The ratio of the percentage of population falling into obese category to the percentage of population falling into normal category has decreased in $20$ years.
• D. The percentage of population falling into normal category has decreased in $20$ years.

 

Answer 1

Option A) The ratio of the percentage of population falling into overweight category to the percentage of population falling into normal category has increased in 20 years.

$\underbrace{\dfrac{25\%}{50\%} = \dfrac{1}{2} = 0.5}_{2003} \quad \xrightarrow{\text{increase}} \quad \underbrace{\dfrac{40\%}{30\%} = \dfrac{4}{3} \approx 1.33}_{2023}$

Option B)  The ratio of the percentage of population falling into underweight category to the percentage of population falling into normal category has decreased in 20 years.

$\underbrace{\dfrac{10\%}{50\%} = \dfrac{1}{5} = 0.2}_{2003} \quad \xrightarrow{\text{decrease}} \quad \underbrace{\dfrac{5\%}{30\%} = \dfrac{1}{6} \approx 0.166}_{2023}$

Option C) The ratio of the percentage of population falling into obese category to the percentage of population falling into normal category has decreased in 20 years.

$\underbrace{\dfrac{15\%}{50\%} = \dfrac{3}{10} = 0.3}_{2003} \quad \xrightarrow{\text{increase}} \quad \underbrace{\dfrac{25\%}{30\%} = \dfrac{5}{6} \approx 0.833}_{2023}$

Option D) The percentage of population falling into normal category has decreased in 20 years.

$\underbrace{50\%}_{2003} \quad \xrightarrow{\text{decrease}} \quad \underbrace{30\%}_{2023}$

Answer 2

A) Overweight / Normal

Old = 25 / 50 = 1 / 2

New = 40 / 30 = 4 / 3

Conclusion: Overweight / Normal increased✔️

B) Underweight / Normal

Old = 10 / 50 = 1 / 5

New = 5 / 30 = 1 / 6

Conclusion: Underweight / Normal decreased✔️

C) Obese / Normal

Old = 15 / 50 = 3 / 10 = 0.3

New = 25 / 30 = 5 / 6 ≈ 0.833

Conclusion: Obese / Normal increased( given decreased) ❌️

D) Normal Count

Old = 50

New = 30

Conclusion: Number of Normal individuals decreased✔️