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