PSAT Math Grid-Ins Question 80: Answer and Explanation
Question: 80
Group | Proportion |
---|---|
A: inert, mild or no side effects | 34.5% |
B: inert, moderate side effects | 9.2% |
C: inert, severe side effects | 6.2% |
D: drug, mild or no side effects | 9.5% |
E: drug, moderate side effects | 12.8% |
F: drug, severe side effects | 27.8% |
Dr. Hunter is overseeing a treatment-resistant influenza Phase I trial with 400 healthy participants: half are given the drug and half are given an inert pill. The table shows a distribution of the severity of gastrointestinal side effects.
How many trial participants did not have severe side effects?
Correct Answer: 264
Explanation:
264
Difficulty: Easy
Getting to the Answer: You know from the table that 27.8% of participants who were administered the drug experienced severe side effects. Add this to the 6.2% who had severe side effects while given the inert pill to get 34.0% total with severe side effects, meaning 100.0% - 34.0% = 66.0% did not have them. Using the three-part percent formula, you find 0.66 × 400 = 264 participants did not sustain severe side effects. Grid in 264.
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