Question 1
Statements:
All reliable are efficient.
No efficient is a sustainable.
Conclusions:
I. Some sustainable are reliable.
II. No sustainable is a reliable.
Complementary Pair Concept:
Conclusions I and II form a complementary pair: "Some sustainable are reliable" and "No sustainable is a reliable"
These are opposite statements - at least one MUST be true.
Venn Diagram Method:
Step 1: "All reliable are efficient" → Circle of reliable inside efficient
Step 2: "No efficient is a sustainable" → Circles of efficient and sustainable completely separate
Step 3: Since reliable is inside efficient, and efficient is separate from sustainable, then reliable is also separate from sustainable
Step 4: Result: "No sustainable is a reliable" is TRUE
Analytical Method:
All reliable are efficient (A) + No efficient is a sustainable (E) = A + E = E = No reliable is a sustainable
By conversion: No sustainable is a reliable
Either-Or Case:
Since the conclusions form a complementary pair and one is definitely true, answer is "Either-Or".
Answer: Either conclusion I or II follows
Conclusions I and II form a complementary pair: "Some sustainable are reliable" and "No sustainable is a reliable"
These are opposite statements - at least one MUST be true.
Venn Diagram Method:
Step 1: "All reliable are efficient" → Circle of reliable inside efficient
Step 2: "No efficient is a sustainable" → Circles of efficient and sustainable completely separate
Step 3: Since reliable is inside efficient, and efficient is separate from sustainable, then reliable is also separate from sustainable
Step 4: Result: "No sustainable is a reliable" is TRUE
Analytical Method:
All reliable are efficient (A) + No efficient is a sustainable (E) = A + E = E = No reliable is a sustainable
By conversion: No sustainable is a reliable
Either-Or Case:
Since the conclusions form a complementary pair and one is definitely true, answer is "Either-Or".
Answer: Either conclusion I or II follows