Question 1
Statements:
Some nurses are athletes.
Some athletes are pharmacists.
Conclusions:
I. Some nurses are pharmacists.
II. No nurses is a pharmacists.
Venn Diagram Method:
Step 1: "Some nurses are athletes" → nurses and athletes overlap partially
Step 2: "Some athletes are pharmacists" → athletes and pharmacists overlap partially
Step 3: Multiple possibilities exist:
- nurses and pharmacists may overlap (some A are C)
- nurses and pharmacists may be separate (no A is C)
- nurses and pharmacists may partially overlap
Analytical Method:
I + I combination gives NO definite conclusion.
The overlapping portions may or may not be the same part of athletes.
Verification:
✗ Conclusion I: "Some nurses are pharmacists" - NOT DEFINITE (possible but not certain)
✗ Conclusion II: "No nurses is a pharmacists" - NOT DEFINITE (possible but not certain)
Answer: Neither conclusion I nor II follows
Step 1: "Some nurses are athletes" → nurses and athletes overlap partially
Step 2: "Some athletes are pharmacists" → athletes and pharmacists overlap partially
Step 3: Multiple possibilities exist:
- nurses and pharmacists may overlap (some A are C)
- nurses and pharmacists may be separate (no A is C)
- nurses and pharmacists may partially overlap
Analytical Method:
I + I combination gives NO definite conclusion.
The overlapping portions may or may not be the same part of athletes.
Verification:
✗ Conclusion I: "Some nurses are pharmacists" - NOT DEFINITE (possible but not certain)
✗ Conclusion II: "No nurses is a pharmacists" - NOT DEFINITE (possible but not certain)
Answer: Neither conclusion I nor II follows