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CAT 2024 PYQsData Interpretation & Logical Reasoning. Free, no login required.

Data Interpretation

past year questions, CAT 2024

Tables

past year questions, Data Interpretation, CAT 2024

Hard

Out of 1010 countries -- Country 11 through Country 1010-- Country 99 has the highest gross domestic product (GDP), and Country 1010 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 11 through Country 88 for the year 20242024.

  • Column 11 gives the country's identity.
  • Column 22 gives the country's GDP as a fraction of the GDP of Country 9.
  • Column 33 gives the country's GDP per capita as a fraction of the GDP per capita of Country10.
  • Column 44 gives the country's annual GDP growth rate.
  • Column 55 gives the country's annual population growth rate.
Figure for CAT 2024 DILR question 11 (Data Interpretation)

Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.

The ratio of Country 4’s GDP to Country 5’s GDP in 2026 will be closest to

Solution

✅ Correct Option: 2
Slide 1/2
CountryGDPGDP per capitaGDP growth ratePopulation growth rate
Country 1

0.150.15

0.410.41

0.2%0.2\%

−0.12%-0.12\%

Country 2

0.140.14

0.250.25

0.9%0.9\%

−0.41%-0.41\%

Country 3

0.130.13

0.020.02

6.5%6.5\%

0.70%0.70\%

Country 4

0.120.12

0.380.38

0.5%0.5\%

0.49%0.49\%

Country 5

0.100.10

0.360.36

0.7%0.7\%

0.31%0.31\%

Country 6

0.080.08

0.080.08

3.2%3.2\%

0.61%0.61\%

Country 7

0.080.08

0.300.30

0.7%0.7\%

−0.11%-0.11\%

Country 8

0.070.07

0.410.41

1.2%1.2\%

0.71%0.71\%

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)

i.e., if GDP of country 9 = 100 (let) then GDP of country 1 will be 0.15*100 = 15.

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)

i.e., if GDP per capita of country 10 = 100 then, GDP per capita of Country 1 will be 0.41 * 100 = 41.

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.

Also, We can compare the population of two countries using the formula -

population = GDP/ GDP per capita.

Understanding what we need to find:

We need the ratio of Country 4's GDP to Country 5's GDP in 2026. Since we're starting from 2024, this means we need to calculate 2 years of growth.

Extracting the key data from the table:

  • Country 4: GDP =0.12= 0.12 (relative to Country 9), Growth rate =0.5%= 0.5\% per year
  • Country 5: GDP =0.10= 0.10 (relative to Country 9), Growth rate =0.7%= 0.7\% per year

Note: We don't need to worry about the actual GDP values of Country 9 since we're finding a ratio - they'll cancel out!

Calculating GDP growth using compound interest formula:

When something grows at a constant rate, we use: Final Value == Initial Value ×(1+growth rate)number of years\times (1 + \text{growth rate})^{\text{number of years}}

For Country 4:

  • Initial GDP (2024) =0.12= 0.12
  • Growth rate =0.5%=0.005= 0.5\% = 0.005 (convert percentage to decimal)
  • Time =2= 2 years (2024 to 2026)

GDP in 2026 =0.12×(1+0.005)2=0.12×(1.005)2=0.12×1.010025=0.121203= 0.12 \times (1 + 0.005)^2 = 0.12 \times (1.005)^2 = 0.12 \times 1.010025 = 0.121203

For Country 5:

  • Initial GDP (2024) =0.10= 0.10
  • Growth rate =0.7%=0.007= 0.7\% = 0.007
  • Time =2= 2 years

GDP in 2026 =0.10×(1+0.007)2=0.10×(1.007)2=0.10×1.014049=0.1014049= 0.10 \times (1 + 0.007)^2 = 0.10 \times (1.007)^2 = 0.10 \times 1.014049 = 0.1014049

Calculating the ratio:

Country 4’s GDPCountry 5’s GDP=0.1212030.1014049=1.195\dfrac{\text{Country 4's GDP}}{\text{Country 5's GDP}} = \dfrac{0.121203}{0.1014049} = 1.195

Quick Check: This makes sense! Country 4 starts with a higher GDP (0.12(0.12 vs 0.10)0.10) but grows slower (0.5%(0.5\% vs 0.7%)0.7\%), so the ratio should be close to the original ratio of 0.120.10=1.2\frac{0.12}{0.10} = 1.2, which it is!

Answer: 1.1951.195

More from this set:

Question 10

Which one among the countries 1 through 8, has the smallest population in 2024?

Question 12

Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?

Question 13

For how many countries among Country 1 through Country 8 will the GDP per capita in 2027 be lower than that in 2024?

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