Practice Question - 31 (Quant Based DI) | 100 DILR Questions for CAT Preparation PDF Download

Ans: (a)
We are given the following table,

This table compares the GDP, GDP per capita, and population of eight countries, all of which are referenced using a consistent set of units.
Specifically, the GDP values are all given with the same country as the reference point (The reference point being Country 9)
Similarly, the GDP per capita among the eight countries in the table is given using the same reference point (The reference point being Country 10)
As a result, when comparing two countries from the list in terms of GDP, GDP per capita, or population, we can directly use the values presented in the table, since they are all based on a uniform reference point.
We can compare the population of two countries using the formula,
For example, to compare the GDP of Country A and Country B, we can simply use the values listed under "GDP" in the table, as both are referenced using the same country throughout. This eliminates the need for additional conversions or adjustments.

In this question we are asked to find which of the countries among the four options has the least population in 2024 (The current year)
Option A: Country 8
GDP=0.07 and GDP Per Capita=0.41
Population=0.07/0.41 or $\frac{\mathrm{7/41}}{}$​

Option B: Country 3
GDP=0.13 and GDP Per Capita=0.02
Population=0.13/0.02 or 13/2

Option C: Country 7
GDP=0.08 and GDP Per Capita=0.3
Population=0.08/0.3 or 8/30

Option D: Country 5
GDP=0.1 and GDP Per Capita=0.36
Population=0.1/0.36 or 10/36
Comparing the four values, we are looking for the smallest values among the four,

7/41 is the smallest value among the four, hence Option (a) or Country 8 is the answer.

Ans: (a)
We are given the following table,

This table compares the GDP, GDP per capita, and population of eight countries, all of which are referenced using a consistent set of units.
Specifically, the GDP values are all given with the same country as the reference point (The reference point being Country 9)
Similarly, the GDP per capita among the eight countries in the table is given using the same reference point (The reference point being Country 10)
As a result, when comparing two countries from the list in terms of GDP, GDP per capita, or population, we can directly use the values presented in the table, since they are all based on a uniform reference point.
We can compare the population of two countries using the formula,

For example, to compare the GDP of Country A and Country B, we can simply use the values listed under "GDP" in the table, as both are referenced using the same country throughout. This eliminates the need for additional conversions or adjustments.

We are given the GDP growth rate and we are told it is constant over the next three years, 
Country 4 GDP: 0.12 and the given growth rate is 0.5%
GDP of Country 4 in 2026 will be $0.12\times \left(1.005\right)\mathrm{<sup\; style="font-size:\; 12px\; !important">2</sup>}$ this equals 0.121203

Country 4 GDP: 0.1 and the given growth rate is 3.2
GDP of Country 5 in 2026 will be $0.1\times \left(1.007\right)\mathrm{<sup\; style="font-size:\; 12px\; !important">2</sup>}$ this equals 0.1014049
Ratio will be,  this equals 1.19523
Hence, the answer is Option (a).

Ans: (a)
We are given the following table,

This table compares the GDP, GDP per capita, and population of eight countries, all of which are referenced using a consistent set of units.
Specifically, the GDP values are all given with the same country as the reference point (The reference point being Country 9)
Similarly, the GDP per capita among the eight countries in the table is given using the same reference point (The reference point being Country 10)
As a result, when comparing two countries from the list in terms of GDP, GDP per capita, or population, we can directly use the values presented in the table, since they are all based on a uniform reference point.
We can compare the population of two countries using the formula,

For example, to compare the GDP of Country A and Country B, we can simply use the values listed under "GDP" in the table, as both are referenced using the same country throughout. This eliminates the need for additional conversions or adjustments.
The given question asks us to compare the population of countries between  1, 4, 5, and 7 in the year 2027
Country 1: Population in 2024 will be 0.15/0.41 or 15/41 and the population is decreasing at the rate 0.12%
Country 4: Population in 2024 will be 0.12/0.38 or 12/38 and the population is increasing at the rate of 0.49%
Country 5: Population in 2024 will be 0.1/0.36 or 10/36 and the population is increasing at the rate 0.31%
Country 7: Population in 2024 will be 0.08/0.3 or 8/30 and the population is decreasing at the rate 0.11%
Simplifying and comparing the four fractions in order, 15/41, 6/19, 5/18, 4/15
The decimal values of the following are: 0.36586, 0.315789, 0.2777, 0.2666
Right away we can eliminate Country 7 since the population is not only the least, but it is decreasing, so there is no chance it will have the highest population in three years time. 
For the other three countries, 
Country 1: $\left(0.36585\right)\times \left(0.9988\right)\mathrm{<sup\; style="font-size:\; 12px\; !important">3</sup>}$ this equals 0.36453
Country 4: $\left(0.315789\right)\times \left(1.0049\right)\mathrm{<sup\; style="font-size:\; 12px\; !important">3</sup>}$ this equals 0.32045
Country 7: $\left(0.2777\right)\times \left(1.0031\right)\mathrm{<sup\; style="font-size:\; 12px\; !important">3</sup>}$ this equals 0.2803612
Hence, Country 1 will have the largest population among these four countries. 

Ans: 0
We are given the following table,

This table compares the GDP, GDP per capita, and population of eight countries, all of which are referenced using a consistent set of units.
Specifically, the GDP values are all given with the same country as the reference point (The reference point being Country 9)
Similarly, the GDP per capita among the eight countries in the table is given using the same reference point (The reference point being Country 10)
As a result, when comparing two countries from the list in terms of GDP, GDP per capita, or population, we can directly use the values presented in the table, since they are all based on a uniform reference point.
We can compare the population of two countries using the formula,

For example, to compare the GDP of Country A and Country B, we can simply use the values listed under "GDP" in the table, as both are referenced using the same country throughout. This eliminates the need for additional conversions or adjustments.
We are asked to find the number of countries where the GDP per capita is lower in 2027 than it was in 2024. 
For the GDP per capita to be lower in the consequent years, the population growth rate has to exceed the GDP growth rate, since GDP per capita is nothing but GDP divided by the population. That means if the population growth rate is lesser than that of the GDP growth rate, the GDP per capita will only increase. 
We can clearly see that none of the following countries fall in the scenario where GDP growth rate is lesser than that of the population growth rate. Countries 1, 2 and 7 have actually decreasing population rates thereby definitely increasing the GDP per capita. 
The rest of the countries have GDP growth rates larger than the population growth rates. 
Hence, we can conclude that, none of the countries will have a smaller GDP per capita in 2027 when compared to 2024.