At the end of the year, Acme Corporation rewards its top performers with cash prizes. When told the fact that the number of top performers receiving these prizes has declined markedly over the past ten years, the CEO of the company, Samantha Johnson, responded, "In that case, since our reward criterion at present is inclusion in the top ten percent of our employees, we can also say that the number of employees passed over for these prizes has similarly declined."
Which one of the following is an assumption that would allow Samantha Johnson's conclusion to be properly drawn?We are told the number of prize recipients has gone down over ten years. Samantha says that because prizes go to the top ten percent, the number of employees who do not get prizes must have also gone down. For that to follow, the company’s total number of employees must have gone down enough that both the top ten percent group and the non winner group shrink.
A. Policies at Acme Corporation with regard to hiring employees have not become more lax over the past ten years.
Hiring strictness has nothing to do with the math of how many people are in the top ten percent versus not. Not needed.
B. The number of employees at Acme Corporation has increased over the past ten years.
This would actually work against her conclusion. If total employees increased, then the number passed over would tend to increase, not decline. So this cannot be the assumption that makes her reasoning valid.
C. The average total productivity figures for Acme Corporation employees have been declining for the past ten years.
Productivity levels do not determine how many people are in the top ten percent. The top ten percent is defined by rank, not by absolute productivity. Not needed.
D. The criterion used by Acme Corporation for selecting its prize recipients has remained the same for the past ten years.
This is needed. Her inference uses “top ten percent” to connect “fewer winners” to “fewer non winners,” but that only works if the “fewer winners” fact is actually about the same top ten percent criterion across the ten years. If the criterion used to be different, then a decline in winners could just reflect a rule change, and her conclusion about those passed over would not follow.
E. Acme Corporation has not faced any significant economic challenges over the past ten years.
Economic conditions might affect rewards or headcount, but they are not required for her specific logical step. Not needed.
Answer: (D)