GATE Electrical 2024 | GA | Question: 8

Question

​The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly fuel consumption of the country (in Million liters).

Considering the data presented in the chart, which one of the following options is true?

• A. The percentage increase in fuel consumption from $2010$ to $2015$ is more than the percentage increase in fuel consumption from $2015$ to $2020$.
• B. The increase in the number of Millennial car buyers from $2015$ to $2020$ is less than the decrease in the number of Gen $\text{X}$ car buyers from $2010$ to $2015$.
• C. The increase in the number of Millennial car buyers from $2010$ to $2015$ is more than the decrease in the number of Gen $\text{X}$ car buyers from $2010$ to $2015$.
• D. The decrease in the number of Gen $\text{X}$ car buyers from $2015$ to $2020$ is more than the increase in the number of Millennial car buyers from $2010$ to $2015$.

Answer 1

Option A) $x$: The percentage increase in fuel consumption from $2010$ to $2015 = \dfrac{60 - 50}{50} \times 100\% = 20\%$

$y$: The percentage increase in fuel consumption from $2015$ to $2020 = \dfrac{90 - 60}{60} \times 100\% = 50\%$

$x < y$ but the option asks about $x > y$. so, this option is false.

Option B) $x$: The increase in the number of Millennial car buyers from $2015$ to $2020 = 60000-45000 = 15000$

$y$: The decrease in the number of Gen X car buyers from $2010$ to $2015 = 40000 - 30000 = 10000$

$x > y$ but the option asks about $x < y$. so, this option is false.

Option C) $x$: The increase in the number of Millennial car buyers from $2010$ to $2015 = 45000-20000 = 25000$

$y$: The decrease in the number of Gen X car buyers from $2010$ to $2015 = 40000 - 30000 = 10000$

$x > y$ and the option asks about $x > y$. so, this option is true.

Option D) $x$: The decrease in the number of Gen X car buyers from $2015$ to $2020 = 30000-25000 = 5000$

$y$: The increase in the number of Millennial car buyers from $2010$ to $2015 = 45000 - 20000 = 25000 $

$x < y$ but the option asks about $x > y$. so, this option is false.

Comments

TIP: in option A, you can find the relative increase by looking at the slope of the graph.(Steeper means higher relative increase).

The one which has higher relative increase will have higher percentage increase.

Answer 2

Answer is option C.