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Difficulty: MediumIdentifying Necessary Assumptions

Business Analyst: To increase productivity, TechCorp recently transitioned to a four-day workweek without reducing employee pay. Studies consistently show that employees who are well-rested make fewer errors and complete their assigned tasks significantly faster. Therefore, TechCorp's overall weekly output will certainly not decrease as a result of this schedule transition.

Which of the following statements must be assumed in order for the analyst's conclusion to be properly drawn? Select all that apply.

  1. The gains in efficiency resulting from employees being well-rested are large enough to prevent a decline in overall weekly output despite the reduction in working hours.Answer
  2. The transition to a four-day workweek will genuinely result in TechCorp employees being better rested than they were under the previous schedule.Answer
  3. C
    TechCorp employees will use their newly acquired additional day off strictly for rest rather than engaging in other fatiguing activities.
  4. D
    Any company that transitions to a four-day workweek without reducing pay will maintain or increase its overall weekly output.
  5. E
    Prior to the schedule change, TechCorp's overall output was being severely hindered by an exceptionally high number of employee errors.

Answer

The statements indicating that the efficiency gains are large enough to offset lost hours, and that the employees will actually become better rested as a result of the transition.
For the analyst's argument to hold logically, two foundational bridges must be in place. First, the premise about 'well-rested employees' must actually apply to TechCorp's specific intervention, meaning the schedule change must genuinely result in employees becoming better rested. Second, because the company is intrinsically losing working hours, the efficiency gains generated from being well-rested must be substantial enough to fully mathematically offset that loss in time. If either of these conditions is proven false, the conclusion that overall output will not decrease is immediately destroyed.

Step-by-Step Solution

1
Deconstruct the argument to identify its core components.
Premises: TechCorp reduced working days; well-rested employees work faster and make fewer errors. Conclusion: Overall weekly output will not decrease.
Understanding the exact structural flow allows you to spot logical gaps between the evidence provided and the claim made.
2
Identify the unstated logical gaps in the analyst's reasoning.
Gap 1: Does a four-day workweek automatically mean employees are better rested? Gap 2: Are the benefits of being rested mathematically enough to make up for losing 20% of the workweek?
Necessary assumptions always serve to bridge gaps in the reasoning or rule out factors that would instantly destroy the conclusion.
3
Apply the Negation Technique to the plausible answer choices.
Negating the statement about efficiency gains being large enough destroys the conclusion (if they aren't large enough, output falls). Negating the statement about employees becoming better rested also destroys the conclusion (the premise becomes irrelevant).
The defining characteristic of a necessary assumption is that the argument collapses if the assumption is proven false.

Key Concept

Identifying Necessary Assumptions via the Negation Technique

Alternative Method

Instead of predicting the gaps directly, you can strictly evaluate each choice by inserting the word 'not' into its main verb. If the newly negated sentence makes the author's conclusion impossible, you have found a necessary assumption.
Estimated Time:1m 30s
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Topics

Identifying Necessary Assumptions

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