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Statements: 1. Some boys are thieves. ...

Statements: 1. Some boys are thieves.
2. All thieves are dacoits,
Conclusions: 1. Some boys are dacoits.
2. All dacoits are boys

A

only conclusion I 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. **Understand the Statements:** - Statement 1: "Some boys are thieves." - This means there exists at least one boy who is a thief. - Statement 2: "All thieves are dacoits." - This means every thief is also a dacoit. 2. **Visual Representation:** - Draw two circles: - Circle A represents "Boys." - Circle B represents "Thieves." - Circle C represents "Dacoits." - Since "Some boys are thieves," there is an overlap between Circle A and Circle B. - Since "All thieves are dacoits," Circle B is completely inside Circle C. 3. **Analyze the Conclusions:** - Conclusion 1: "Some boys are dacoits." - Since some boys are thieves (from Statement 1) and all thieves are dacoits (from Statement 2), it follows that those boys who are thieves must also be dacoits. Therefore, this conclusion is true. - Conclusion 2: "All dacoits are boys." - This conclusion cannot be derived from the statements. The statements do not provide any information that suggests all dacoits are boys. Therefore, this conclusion is false. 4. **Final Assessment:** - Conclusion 1 is true. - Conclusion 2 is false. ### Conclusion: - The correct answer is that only Conclusion 1 follows from the statements.
To solve the problem, we need to analyze the given statements and conclusions logically. ### Step-by-Step Solution: 1. **Understand the Statements:** - Statement 1: "Some boys are thieves." - This means there exists at least one boy who is a thief. - Statement 2: "All thieves are dacoits." ...
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