CAT 2024 Question Paper | DILR Slot 3

CAT Previous Year Paper | CAT DILR Questions | Question 16

CAT 2024 DILR did not have a change in pattern. Atleast two sets were doable in each slot and one of the four sets was extremely tough. Choice of Sets became a crucial factor. Overall this section was at a medium to high level of difficulty.

Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the highest gross domestic product (GDP), and Country 10 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 1 through Country 8 for the year 2024.

• Column 1 gives the country's identity.
• Column 2 gives the country's GDP as a fraction of the GDP of Country 9.
• Column 3 gives the country's GDP per capita as a fraction of the GDP per capita of Country 10.
• Column 4 gives the country's annual GDP growth rate.
• Column 5 gives the country's annual population growth rate.



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

Question 16 : Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?

  1. Country 4
  2. Country 7
  3. Country 1
  4. Country 5

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Explanatory Answer

Country GDP GDP per capita GDP growth rate Population growth rate Country 1 0.15x 0.41y 0.20% -0.12% Country 2 0.14x 0.25y 0.90% -0.41% Country 3 0.13x 0.02y 6.50% 0.70% Country 4 0.12x 0.38y 0.50% 0.49% Country 5 0.10x 0.36y 0.70% 0.31% Country 6 0.08x 0.08y 3.20% 0.61% Country 7 0.08x 0.30y 0.70% -0.11% Country 8 0.07x 0.41y 1.20% 0.71% Country 9 x Country 10 y

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

Answer: Population of country 1 in 2027 = * (1 - 0.0012)3 = 0.364 (highest)

Population of country 4 in 2017 = * (1 + 0.0049)3 = 0.320

Population of country 5 in 2017 = * (1 + 0.0031)3 = 0.280

Population of country 7 in 2017 = (1 - 0.0011)3 = 0.261

Hence, the answer is 'Country 1'

Choice C is the correct answer.

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