CAT 2024 Question Paper | DILR Slot 3

CAT Questions

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 17 : 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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Video Explanation

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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

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The question is "What is the median of all ratings given on Day 3?"

Solution: GDP per capita will decrease when GDP increases and the population grows more than that. Observing the values, GDP growth rate is higher than the population growth rate in all the countries. Therefore, there is no country GDP per capita in 2027 be lower than that in 2024.

Hence, the answer is '0'

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