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15 Apr 2025, 06:08
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In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination.: False
The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023.: True
The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee.: False
The table below shows the number of projects (Proj) completed by four departments (R&D, Marketing, Sales, and HR) in three different regions (North America, Europe, and Asia) for the years 2021, 2022, and 2023. In addition, the table shows the number of employees (Emp) (in hundreds) assigned to each department in each region.
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.
| Department | Region | 2021 Proj | 2022 Proj | 2023 Proj | 2021 Emp | 2022 Emp | 2023 Emp |
|---|---|---|---|---|---|---|---|
| R&D | North America | 15 | 18 | 20 | 8 | 9 | 10 |
| R&D | Europe | 12 | 13 | 16 | 6 | 7 | 7 |
| Marketing | Asia | 20 | 25 | 30 | 5 | 6 | 7 |
| Marketing | Europe | 18 | 20 | 22 | 4 | 5 | 6 |
| Sales | North America | 30 | 28 | 35 | 10 | 9 | 11 |
| HR | Asia | 10 | 12 | 15 | 3 | 6 | 4 |
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.
| True | False | |
| In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination. | ||
| The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023. | ||
| The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee. |
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Official Answer
In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination.: False
The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023.: True
The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee.: False
15 Apr 2025, 06:08
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Official Solution:
In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination.
• Since the statement claims that the ratio of projects to employees in R&D in North America was the highest in 2023, we can quickly check departments with either very high projects or very low number of employees. (Employee counts are given in hundreds, but we can ignore the two zeros for all departments since the ratio comparisons will remain the same.)
R&D in North America had 20 projects and 10 employees — a ratio of 2 projects per employee.
Marketing in Asia had 30 projects and 7 employees — a ratio of approximately 4.29 projects per employee, which already exceeds R&D’s ratio.
Thus, the statement is False — no need to check further.
The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023.
• Marketing completed:
In 2021: 20 projects in Asia + 18 projects in Europe = 38 projects
In 2023: 30 projects in Asia + 22 projects in Europe = 52 projects
Percentage increase = (52 - 38)/38 * 100 ≈ 37%
Since the increase is more than 25%, this statement is True.
The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee.
• In 2022, HR in Asia completed 12 projects with 600 employees (note that the number of employees in the table is given in hundreds). The ratio is therefore 12/600 = 0.02 projects per employee. Since the actual ratio is 0.02, not 2, this statement is False.
Correct answer:
In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination. "False"
The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023. "True"
The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee. "False"
Bunuel
In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination.
• Since the statement claims that the ratio of projects to employees in R&D in North America was the highest in 2023, we can quickly check departments with either very high projects or very low number of employees. (Employee counts are given in hundreds, but we can ignore the two zeros for all departments since the ratio comparisons will remain the same.)
R&D in North America had 20 projects and 10 employees — a ratio of 2 projects per employee.
Marketing in Asia had 30 projects and 7 employees — a ratio of approximately 4.29 projects per employee, which already exceeds R&D’s ratio.
Thus, the statement is False — no need to check further.
The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023.
• Marketing completed:
In 2021: 20 projects in Asia + 18 projects in Europe = 38 projects
In 2023: 30 projects in Asia + 22 projects in Europe = 52 projects
Percentage increase = (52 - 38)/38 * 100 ≈ 37%
Since the increase is more than 25%, this statement is True.
The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee.
• In 2022, HR in Asia completed 12 projects with 600 employees (note that the number of employees in the table is given in hundreds). The ratio is therefore 12/600 = 0.02 projects per employee. Since the actual ratio is 0.02, not 2, this statement is False.
Correct answer:
In 2023, the ratio of projects to employees in R&D in North America was higher than in any other department-region combination. "False"
The total number of projects completed by Marketing across all regions increased by more than 25% between 2021 and 2023. "True"
The ratio of projects to employees in HR in Asia in 2022 was 2 projects per employee. "False"
10 May 2025, 12:57
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Quote:
I am not sure, but I believe the second statement needs to be updated, not making logical sense of what to expect from the second choice.
After getting confused for 2 minutes, I calculated sales for individual regions for 2021 and checked whether the 2023 value was above 125% of the 2021 value for a specific region.
10 May 2025, 13:57
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FormulaFlame
The question says Marketing across all regions, so it's clearly asking for the total number of Marketing projects in 2021 vs 2023, not per region.
