Directions: In the question below, some statements are given followed by two conclusions. Assume the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the given conclusions logically follow(s) from the statements.
Statements:
No sedan is coupe.
No truck is van.
Some coupe is truck.
Conclusions:
I. Some sedan is van
II. No sedan is van
Correct Answer :
If either conclusion I or II follows.
Solution :
Correct Answer: If either conclusion I or II follows.
Step-by-step Explanation:
1. Analyze the given statements:
• Statement 1: No sedan is coupe.
• Statement 2: No truck is van.
• Statement 3: Some coupe is truck.
2. Evaluate Conclusion I and Conclusion II individually:
• Conclusion I: Some sedan is van
• Conclusion II: No sedan is van
There is no direct or indirect connection given between 'sedan' and 'van' in any of the statements. Therefore, neither conclusion can be individually determined to be definitely true.
3. Check the conditions for an 'Either-Or' complementary pair:
Two conclusions form an 'Either-Or' relationship when the following conditions are met:
1. Both conclusions contain the same subject ('sedan') and predicate ('van').
2. Both conclusions are individually uncertain (neither can be proven true on its own).
3. One conclusion is affirmative ("Some sedan is van") and the other is negative ("No sedan is van"), forming a complementary pair (I and E type statements).
Since all three conditions are satisfied, either Conclusion I or Conclusion II must logically hold true.
Therefore, the correct choice is If either conclusion I or II follows.
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