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