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23 Sep 2025, 09:37
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Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude.: Yes
At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending.: No
The subject with the lowest actual spending was also the subject with the smallest planned allocation.: Yes
For a university last year, the table shows the planned allocations and the actual spending for acquisitions in six subject areas. The table also shows the percentage deviation (the difference between actual spending and planned allocation as a percentage of the planned allocation). A positive percentage indicates overspending; a negative percentage indicates underspending.
For each of the following statements about the subject areas in the table, select Yes if the statement accurately reflects the information provided. Otherwise, select No.
| Subject area | Planned allocation (€) | Actual spending (€) | Percentage deviation |
|---|---|---|---|
| History | 8,000 | 6,920 | -13.5% |
| Mathematics | 3,200 | 3,536 | 10.5% |
| Physics | 4,600 | 4,828 | 5.0% |
| Literature | 7,400 | 6,814 | -7.9% |
| Computer Science | 5,100 | 4,743 | -7.0% |
| Art | 2,700 | 2,862 | 6.0% |
For each of the following statements about the subject areas in the table, select Yes if the statement accurately reflects the information provided. Otherwise, select No.
| Yes | No | |
| Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude. | ||
| At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending. | ||
| The subject with the lowest actual spending was also the subject with the smallest planned allocation. |
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Official Answer
Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude.: Yes
At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending.: No
The subject with the lowest actual spending was also the subject with the smallest planned allocation.: Yes
23 Sep 2025, 09:37
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Official Solution:
• Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude.
Underspent = History (€8,000, −13.5%), Literature (€7,400, −7.9%), Computer Science (€5,100, −7.0%). Second-highest allocation = Literature. Second-smallest deviation = Literature.
Answer: Yes
• At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending.
Average actual ≈ €4,950. Overspent = Math (€3,536), Physics (€4,828), Art (€2,862). All below average.
No subject that was overspent had actual spending above the overall average actual spending.
Answer: No
• The subject with the lowest actual spending was also the subject with the smallest planned allocation.
Lowest actual = Art (€2,862). Lowest planned = Art (€2,700). Same subject.
Answer: Yes
Correct answer:
Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude. "Yes"
At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending. "No"
The subject with the lowest actual spending was also the subject with the smallest planned allocation. "Yes"
Bunuel
• Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude.
Underspent = History (€8,000, −13.5%), Literature (€7,400, −7.9%), Computer Science (€5,100, −7.0%). Second-highest allocation = Literature. Second-smallest deviation = Literature.
Answer: Yes
• At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending.
Average actual ≈ €4,950. Overspent = Math (€3,536), Physics (€4,828), Art (€2,862). All below average.
No subject that was overspent had actual spending above the overall average actual spending.
Answer: No
• The subject with the lowest actual spending was also the subject with the smallest planned allocation.
Lowest actual = Art (€2,862). Lowest planned = Art (€2,700). Same subject.
Answer: Yes
Correct answer:
Among the subjects that were underspent, the one with the second-highest planned allocation also had the second-smallest percentage deviation in magnitude. "Yes"
At least one subject had both actual spending above its planned allocation and actual spending above the overall average actual spending. "No"
The subject with the lowest actual spending was also the subject with the smallest planned allocation. "Yes"
28 Jan 2026, 17:07
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I don’t quite agree with the solution. For the second part of the question, It has mentioned that only magnitude of the percent deviation is to be considered.
I'm not sure why are we considering only negative lowest as the smallest.
I'm not sure why are we considering only negative lowest as the smallest.
