In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some rings are gold.
All gold is hot.
Some hot are red.
Conclusions:
I. Some gold are rings.
II. Some hot are gold.
III. Some red are hot.
- AAll the conclusions follow.
- BOnly conclusion III follows.
- COnly conclusion I follows.
- DOnly conclusion II follows.
Solution & Step-by-step Explanation
Let's evaluate each conclusion systematically:
Conclusion I: Some gold are rings.
From the first statement, "Some rings are gold", conversion rules dictate that "Some gold are rings" is definitely true. Thus, Conclusion I follows.
Conclusion II: Some hot are gold.
From the second statement, "All gold is hot", it implies that the subset of hot things includes all gold. Therefore, "Some hot are gold" is definitely true. Thus, Conclusion II follows.
Conclusion III: Some red are hot.
From the third statement, "Some hot are red", conversion rules dictate that "Some red are hot" is definitely true. Thus, Conclusion III follows.
Since all three conclusions follow, the correct option is A.
Conclusion I: Some gold are rings.
From the first statement, "Some rings are gold", conversion rules dictate that "Some gold are rings" is definitely true. Thus, Conclusion I follows.
Conclusion II: Some hot are gold.
From the second statement, "All gold is hot", it implies that the subset of hot things includes all gold. Therefore, "Some hot are gold" is definitely true. Thus, Conclusion II follows.
Conclusion III: Some red are hot.
From the third statement, "Some hot are red", conversion rules dictate that "Some red are hot" is definitely true. Thus, Conclusion III follows.
Since all three conclusions follow, the correct option is A.