Question

Difficulty: MediumConditional Filtering and Selection

The table below presents clinical trial metrics and operational parameters for seven oncology drug candidates evaluated by a biopharmaceutical firm:

Drug CandidateTrial PhasePatient Retention RateEfficacy Score (1-100)Manufacturing Cost per Dose
Candidate APhase II82%75$140
Candidate BPhase III91%88$310
Candidate CPhase III78%82$220
Candidate DPhase II88%65$95
Candidate EPhase I95%92$450
Candidate FPhase III85%79$180
Candidate GPhase II80%70$110

Evaluate the following statement based on the provided table: "Among the drug candidates currently in Phase III, exactly two candidates satisfy the condition of having an Efficacy Score greater than 80 OR a Manufacturing Cost per Dose less than $200."

Answer: Answer

Answer

False
The statement is false because three Phase III candidates (Candidates B, C, and F) meet the specified compound criterion. Candidate B and Candidate C qualify because their Efficacy Scores exceed 80 (88 and 82, respectively). Candidate F qualifies because its Manufacturing Cost per Dose (180)islessthan180) is less than 200. Because an 'OR' operator requires only one of the criteria to be met, all three candidates qualify, making the claim of 'exactly two' incorrect.

Step-by-Step Solution

1
Filter the dataset for the primary condition: Trial Phase equal to Phase III.
Candidates B, C, and F are in Phase III.
The scope of the statement is restricted specifically to Phase III candidates.
2
Apply the compound logical condition (Efficacy Score > 80 OR Manufacturing Cost per Dose < $200) to each filtered candidate.
Candidate B: Efficacy 88 (>80) -> Satisfies condition.
Candidate C: Efficacy 82 (>80) -> Satisfies condition.
Candidate F: Cost 180(<180 (< 200) -> Satisfies condition.
A disjunction (OR) requires at least one of the two sub-conditions to be true.
3
Count the total number of qualifying candidates and compare with the statement.
Total count is 3. The statement claims the count is exactly 2.
Since 3 does not equal 2, the statement is false.

Key Concept

Conditional Filtering with Compound Logical Operators
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