EPSO Numerical Reasoning Test (EU institutions) Feed

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The administrative budget of an EU department was €150 million in 2021 and €165 million in 2022. What was the percentage increase in the budget from 2021 to 2022?

Percentages And Growth

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An EU agency reduced its permanent staff count from 240 employees in 2022 to 204 employees in 2023. What was the percentage decrease in staff count?

Percentages And Growth

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A region's agricultural yield for wheat was 8.0 tons per hectare in 2021 and 8.6 tons per hectare in 2022. What was the percentage increase in wheat yield?

Percentages And Growth

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Total energy consumption in an industrial sector fell from 1,200 Mtoe (million tonnes of oil equivalent) in 2020 to 1,104 Mtoe in 2023. What was the percentage decrease?

Percentages And Growth

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The Cohesion Fund allocation for a regional development program was €45.0 billion in 2023 and €49.5 billion in 2024. What was the percentage increase?

Percentages And Growth

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Annual carbon emissions of a logistics sector were 450 million tonnes in 2021 and 432 million tonnes in 2022. What was the percentage decrease?

Percentages And Growth

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The total Horizon Europe budget was €95.5 billion. In 2023, the health pillar received 8.6% of this total. If the health budget increases by 12.5% in 2024, what is the projected health budget in 2024 (rounded to two decimal places)?

Percentages And Growth

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An EU member state reported €60.0 billion in imports for 2022, €63.0 billion for 2023, and €67.41 billion for 2024. What was the average annual compound growth rate of imports over these two years?

Percentages And Growth

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A technology initiative spent €12.0 billion in Year 1, €12.6 billion in Year 2, and €13.482 billion in Year 3. What was the total percentage increase in spending from Year 1 to Year 3?

Percentages And Growth

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In a labor market study, the male employment rate rose from 72.0% to 75.6%, while the female employment rate rose from 60.0% to 64.2%. Which group had the higher percentage change (relative growth) in their employment rate, and by how much?

Percentages And Growth

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Before a reform, Sector A represented 15.0% of GDP, and Sector B represented 25.0%. Following a 5.0% overall GDP increase, Sector A grew by 8.0% and Sector B grew by 3.0%. What was the combined share of Sector A and Sector B in the new GDP?

Percentages And Growth

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A country's trade imports were €320.0 billion and exports were €352.0 billion. If imports increase by 10% and exports increase by 5% in the next year, what is the percentage change in the trade surplus?

Percentages And Growth

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An environmental project was allocated a budget of €500.0 million. If inflation is 4.0% in Year 1 and 3.0% in Year 2, what must the budget be in Year 2 to maintain the same real purchasing power as the original budget?

Percentages And Growth

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A region imported 2.5 million tons of steel at €800 per ton. A 10% tariff is introduced, increasing the price to €880 per ton, which causes import volume to fall by 15%. What is the percentage change in total spending on steel imports (including tariff)?

Percentages And Growth

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Digital services revenue in a sector is €40.0 billion. If it grows by 15.0% annually, what is the projected revenue in 3 years (rounded to two decimal places)?

Percentages And Growth

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A project has a total budget of €2.40 million. The EU grant covers 60%, and the rest is covered by national co-financing. The national co-financing is split between a state grant and private investment in the ratio 3:2. What percentage of the total budget is covered by private investment?

Percentages And Growth

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A department has three sectors: A (€80 million), B (€120 million), and C (€200 million). The total budget of the department increases by 8.0%. If the budget of Sector A increases by 15.0% and Sector B by 10.0%, what is the percentage increase in the budget of Sector C?

Percentages And Growth

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An economy experienced inflation rates of 2.5% in Year 1, 4.0% in Year 2, and 1.5% in Year 3. What was the cumulative inflation rate over this three-year period?

Percentages And Growth

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In 2021, Country X had a population of 10.0 million and a GDP per capita of €30,000. By 2024, its population had increased by 4.0% and its total GDP had increased by 10.24%. What was the percentage change in its GDP per capita over this period?

Percentages And Growth

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An energy plant produces 500 GWh of electricity: 60% from coal and 40% from natural gas. Coal produces 900 tonnes of CO2 per GWh, and natural gas produces 400 tonnes of CO2 per GWh. If the plant reduces coal production by 20% and increases gas production by 30%, what is the percentage change in total carbon emissions?

Percentages And Growth

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A Cohesion Fund grant of €80.0 million is split between Region A and Region B in the ratio of 5:3. How much funding does Region A receive?

Ratios And Proportions

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An EU agency has 360 employees. The ratio of translators to administrators is 7:5. How many administrators work at the agency?

Ratios And Proportions

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In the Erasmus+ program, the ratio of outbound students to participating lecturers in a university network is 9:2. If there are 180 students, how many lecturers are participating?

Ratios And Proportions

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Country X has 24 seats in a committee, Country Y has 18 seats, and Country Z has 12 seats. What is the simplified ratio of committee seats for Country X to Country Y to Country Z?

Ratios And Proportions

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A department budget of €120 million is split between Research, Operations, and Administration in the ratio of 3:2:1. How much is allocated to Research?

Ratios And Proportions

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A regional council has 60 representatives. The representatives from the North, South, East, and West regions are in the ratio 4:3:2:3. How many representatives are from the South region?

Ratios And Proportions

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A total budget of €180.0 million is allocated to three regions A, B, and C in proportion to their populations. If the populations are 2.0 million, 3.0 million, and 4.0 million respectively, how much budget does Region B receive?

Ratios And Proportions

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A research institute of 180 members has a ratio of PhD students to Postdocs of 3:1, and Postdocs to Senior Researchers of 2:1. How many PhD students work at the institute?

Ratios And Proportions

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An agency's budget of €100.0 million was split between Sector A and Sector B in the ratio 3:2. Next year, Sector A's budget increases by 20.0%, and Sector B's budget decreases by 10.0%. What is the new ratio of Sector A's budget to Sector B's budget?

Ratios And Proportions

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Sugar beet and potato production are in the ratio of 5:3. If potato production increases by 20% and sugar beet production remains the same, what is the new ratio of sugar beet to potato production?

Ratios And Proportions

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An environmental fund of €120.0 million is divided between Forestry, Ocean Protection, and Clean Air in the ratio 5:3:2. If the total fund increases by €30.0 million, and all of the increase is allocated to Clean Air, what is the new ratio of Forestry to Clean Air?

Ratios And Proportions

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Three cities share the cost of a regional infrastructure project in the ratio of 4:5:6. If City B pays €25.0 million, what is the total cost of the project?

Ratios And Proportions

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In a department, the ratio of female to male administrators is 5:4. If 20 female administrators leave and 10 male administrators are hired, the ratio becomes 1:1. How many female administrators were there initially?

Ratios And Proportions

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Total energy generation of a grid is 400.0 TWh. The ratio of wind, solar, hydro, and biomass is 4:3:2:1. If wind generation increases by 25.0% and solar by 20.0%, what is the new combined share of wind and solar in the total generation (assuming hydro and biomass are unchanged)?

Ratios And Proportions

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A cargo ship carries 12,000 tons of food aid consisting of wheat and rice in the ratio of 3:2. To meet local demand, 1,000 tons of wheat are replaced by rice. What is the new ratio of wheat to rice?

Ratios And Proportions

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A research grant of €3.60 million is split between Project A and Project B in the ratio 5:4. If Project A spends €0.40 million and Project B spends €0.60 million of their grants, what is the ratio of their remaining funds?

Ratios And Proportions

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Country A (population 60.0 million) has 96 seats in a parliament. Country B (population 10.0 million) has 21 seats. What is the ratio of seats per million residents for Country B compared to Country A?

Ratios And Proportions

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An education grant is split between Primary, Secondary, and Higher education in the ratio 3:4:5. Secondary education further splits its share between general and vocational in the ratio 3:2. If vocational secondary education receives €16.0 million, what is the total education grant?

Ratios And Proportions

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Solution A contains alcohol and water in the ratio 3:1. Solution B contains alcohol and water in the ratio 4:1. If 4.0 liters of Solution A and 5.0 liters of Solution B are mixed, what is the ratio of alcohol to water in the final mixture?

Ratios And Proportions

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In 2023, the ratio of budgets for sectors X, Y, and Z was 2:3:5. In 2024, sector X budget increases by 20%, Y increases by 10%, and Z decreases by 10%. If the total budget for 2024 is €357.0 million, what was the budget of sector Z in 2023?

Ratios And Proportions

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The following table lists potato production (in thousands of tons) for three years. What was Country A's total potato production over these three years? Table: Potato Production (k tons) - 2021: Country A = 120, Country B = 200 - 2022: Country A = 150, Country B = 220 - 2023: Country A = 180, Country B = 210

Table Data Analysis

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Based on the following table of employment rates, what was the average female employment rate across the three countries? Table: Employment Rates (%) - Country A: Male = 75.0, Female = 65.0 - Country B: Male = 80.0, Female = 70.0 - Country C: Male = 70.0, Female = 55.0

Table Data Analysis

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The following table shows the staff distribution of an EU department. What is the percentage share of the IT department out of the total staff? Table: Staff Count - HR: 80 - IT: 120 - Finance: 60 - Legal: 40

Table Data Analysis

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An agency's annual imports and exports are listed below. What is the simplified ratio of exports to imports? Table: Trade Values (€ billion) - Imports: 140.0 - Exports: 154.0

Table Data Analysis

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The following table lists transport passengers (in millions) for a metropolitan area. What is the percentage share of Rail passengers out of the total transport passengers? Table: Passenger Traffic (millions) - Rail: 120.0 - Road: 280.0 - Air: 100.0

Table Data Analysis

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The following table shows research funding (in millions of euros) for an agency. What was the percentage increase in research funding from 2021 to 2022? Table: Research Funding (€M) - 2021: 250.0 - 2022: 275.0

Table Data Analysis

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Based on the following table of crop yields and harvested areas, what was Country A's total crop production in tons? Table 1: Crop Yields (tons/ha) - Wheat: Country A = 7.5, Country B = 6.0 - Barley: Country A = 5.5, Country B = 4.5 - Maize: Country A = 8.5, Country B = 9.0 Table 2: Harvested Area for Country A (hectares) - Wheat: 10,000 - Barley: 8,000 - Maize: 6,000

Table Data Analysis

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