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Zorluk: KolayNumerical, Proportion, and Statistical Inferences

In 2024, 40 percent of Company X's total workforce were software engineers. In 2025, software engineers made up 50 percent of the total workforce. If the total number of employees at Company X decreased by 30 percent between 2024 and 2025, which of the following must be true?

  1. The total number of software engineers employed at Company X was smaller in 2025 than in 2024.Cevap
  2. B
    Company X employed more software engineers in total in 2025 than it did in 2024.
  3. C
    The productivity per software engineer at Company X increased significantly following the restructuring.
  4. D
    Software engineers represented a smaller proportion of Company X's total workforce in 2025 than in 2024.
  5. E
    Company X laid off more non-engineering employees than software engineers due to budget constraints.

Cevap

The total number of software engineers employed at Company X was smaller in 2025 than in 2024.
The correct answer is logically necessitated by combining the percentage of software engineers with the overall workforce reduction. An increase in proportion from 40 percent to 50 percent applied to a base that dropped by 30 percent results in fewer total software engineers.

Adım Adım Çözüm

1
Calculate the initial number of software engineers using a hypothetical base workforce
Assuming a total workforce of 100 employees in 2024, 40 percent corresponds to 40 software engineers.
Establishing a base number allows straightforward calculation of relative change.
2
Calculate the updated total workforce and number of software engineers in 2025
A 30 percent reduction reduces the workforce to 70 employees. In 2025, 50 percent of 70 equals 35 software engineers.
Applying the given percentage parameters to the reduced base size yields the new count.
3
Compare the total count of software engineers between the two years
The absolute count of engineers fell from 40 to 35.
Comparing absolute counts verifies which deduction logically must follow.

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Numerical, Proportion, and Statistical Inferences
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Numerical, Proportion, and Statistical Inferences

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