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