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Statements: 1. Some kings are queens 2...

Statements: 1. Some kings are queens
2. All queens are beautiful
Conclusions: 1. All kings are beautiful
2. All queens are kings

A

only conclusion 1 follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusion 1 nor 2 follows,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given statements and conclusions logically. ### Step-by-Step Solution: 1. **Understanding the Statements:** - Statement 1: "Some kings are queens." - This means there is at least one king who is also a queen. We can represent this with two overlapping circles: one for kings and one for queens. - Statement 2: "All queens are beautiful." - This means every individual in the queen circle is also in the beautiful circle. We can represent this by having the queen circle entirely within the beautiful circle. 2. **Analyzing Conclusion 1: "All kings are beautiful."** - For this conclusion to be true, every individual in the king circle must also be in the beautiful circle. - However, since we only know that "some kings are queens," it is possible that there are kings who are not queens. Therefore, we cannot conclude that all kings are beautiful. - **Conclusion 1 is false.** 3. **Analyzing Conclusion 2: "All queens are kings."** - For this conclusion to be true, every individual in the queen circle must also be in the king circle. - The statement "some kings are queens" does not imply that all queens are kings. There could be queens who are not kings. - **Conclusion 2 is also false.** 4. **Final Decision:** - Since both conclusions are false, we conclude that neither conclusion follows from the statements. ### Final Answer: Neither conclusion one nor conclusion two follows from the statements. ---
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In given question below are two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seen to be at variance from commonly know facts. Read the conclusions logically follows the two given statement, disregarding commonly know facts. Give answer (a) if only conclusion I follows, (b) if only conclusion II follows, (c) if either conclusion I or II follows, (d) if neither conclusion I nor II follows, (e) if both conclusion I and II follows. Statements : Some kings are queens. All queens are beautiful. Conclusions : I. All kings are beautiful. II. All queens are kings.

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Knowledge Check

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