Got it — here is a **clean version (no symbols, no formatting issues, fully pastable):**
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1. CORE STRUCTURE
Evidence:
Test removes 5 percent of donors
Test misses two-thirds of infected donors
Conclusion:
About 10 percent of actual donors will still supply contaminated blood
Key gap: converting partial stats into a precise final percentage
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2. PRETHINK (MOST IMPORTANT)
Before options, think:
* What is the starting pool of infected donors?
* Are infected donors already filtered by other tests?
* Does the 5 percent removal actually target infected people?
* Is the math valid without a base infection rate?
Core question to ask:
Is anything already removing these infected donors before this test?
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3. ASSUMPTION GAPS
Gap 1 (Necessary Condition)
A significant portion of NANB-infected donors are not already excluded by other screening tests
Gap 2 (Sampling)
The infection proportion among donors matches what the argument assumes
Gap 3 (Necessary Condition)
The 5 percent removed includes some infected donors
Gap 4 (Math Consistency)
The percentages combine meaningfully to produce about 10 percent
Gap 5 (Alternative Cause)
No other major filtering system reduces infected donors
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4. PRE-OPTION CHECKLIST
* Check starting infected pool
* Check prior filters
* Check if removal targets infected donors
* Check if math depends on hidden base rate
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5. OPTION ANALYSIS
A
Donors carrying NANB hepatitis do not, in a large percentage of cases, carry other infections for which reliable screening tests are routinely performed
Meaning: Most infected donors are not already caught by other tests
If false:
Many infected donors also have other detectable infections
They get removed earlier
Remaining infected pool becomes smaller
Conclusion (10 percent) collapses
Correct
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B
Donors carrying NANB hepatitis do not, in a large percentage of cases, develop the disease themselves at any point
Meaning: About future disease development
Problem:
Argument is about contamination at time of donation
Future symptoms are irrelevant
Incorrect
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C
The estimate of the number of donors who would be disqualified by tests for NANB hepatitis is an underestimate
Meaning: 5 percent could be higher
Effect:
More donors removed → contamination may decrease
But:
Argument can still proceed using given numbers
Logic does not collapse
Incorrect
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D
The incidence of NANB hepatitis is lower among potential donors than in the population at large
Problem:
Compares donors with general population
Argument never uses general population
Incorrect
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E
The donors who will still supply NANB-contaminated blood will donate blood at the average frequency for all donors
Problem:
Talks about frequency of donation
Argument is about percentage of donors
Incorrect
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6. WHY A WORKS
“Reliable screening tests are routinely performed” implies:
Detected infections are removed
If A is false:
Infected donors are already filtered earlier
Remaining infected pool shrinks
Conclusion fails
So A is required
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7. WHY C FAILS
C only says estimate may be wrong
Even if 5 percent changes:
Argument can still use the number and reach a conclusion
So it affects accuracy, not logic
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8. KEY DISTINCTION
Assumption = must be true for argument to work
Modifier = changes numbers but argument still stands
A = structural
C = numerical tweak
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9. TRAPS
Ignoring hidden filters
Future vs present confusion
Irrelevant comparison
Changing numbers does not break argument
Switching dimension (frequency vs proportion)
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10. TAKEAWAY
When you see a percentage conclusion:
Check hidden filtering first
If earlier filtering exists, the whole calculation can collapse
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FINAL ANSWER: A