NinetynineCAT 2024 Slot 3 DILR Set 4 Q14–Q17
A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2024 Slot 3, with 4 questions (Charts & Tables). Answers are CAT's official key.
The set
This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.
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.
[Figure in the original paper]
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.
• 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.
[Figure in the original paper]
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.
Question 14
Which one among the countries 1 through 8, has the smallest population in 2024?
- ACountry 3
- BCountry 5
- CCountry 8
- DCountry 7
Answer: (C) Country 8 Charts & Tables MCQ
Solution
- Population \(\propto \frac{\text{GDP fraction}}{\text{GDP per capita fraction}}\): C1 0.366, C2 0.56, C3 6.5, C4 0.316, C5 0.278, C6 1, C7 0.267, C8 0.171.
- Country 8 is smallest (0.171).
Question 15
The ratio of Country 4's GDP to Country 5's GDP in 2026 will be closest to
- A1.032
- B1.314
- C0.963
- D1.195
Answer: (D) 1.195 Charts & Tables MCQ
Solution
- 2024 ratio \(= \frac{0.12}{0.10} = 1.2\).
- 2026: \(1.2 \times \left(\frac{1.005}{1.007}\right)^2 \approx 1.2 \times 0.99602 \approx 1.195\).
Question 16
Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?
- ACountry 4
- BCountry 7
- CCountry 1
- DCountry 5
Answer: (C) Country 1 Charts & Tables MCQ
Solution
- Population \(\propto \frac{\text{GDP fraction}}{\text{GDP per capita fraction}}\): C1 0.366, C2 0.56, C3 6.5, C4 0.316, C5 0.278, C6 1, C7 0.267, C8 0.171.
- In 3 years: C1 \(0.366 \times 0.9964 \approx 0.365\); C4 \(0.316 \times 1.0148 \approx 0.320\); C5, C7 smaller still. Country 1 remains largest.
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?
TITA: type in the answer. There are no options and no negative marking.
Answer: 0 Charts & Tables TITA
Solution
- GDP per capita falls only if the GDP growth rate is below the population growth rate.
- Compare: C1 0.2 vs -0.12, C2 0.9 vs -0.41, C3 6.5 vs 0.70, C4 0.5 vs 0.49, C5 0.7 vs 0.31, C6 3.2 vs 0.61, C7 0.7 vs -0.11, C8 1.2 vs 0.71: GDP growth is higher in every case. Answer: 0.