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Statements: 1. All men are dogs 2. All...

Statements: 1. All men are dogs
2. All dogs are cats
Conclusions: 1. All men are cats
2. All cats are men

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

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The correct Answer is:
To solve the problem, we need to analyze the given statements and conclusions logically. Here’s a step-by-step breakdown: ### Step 1: Understand the Statements 1. **Statement 1**: All men are dogs. 2. **Statement 2**: All dogs are cats. ### Step 2: Visualize with Venn Diagrams - Draw a Venn diagram with three circles: - Circle A for Men - Circle B for Dogs - Circle C for Cats ### Step 3: Place the Information in the Venn Diagram - Since "All men are dogs," Circle A (Men) is completely within Circle B (Dogs). - Since "All dogs are cats," Circle B (Dogs) is completely within Circle C (Cats). - Therefore, Circle A (Men) is also completely within Circle C (Cats). ### Step 4: Analyze the Conclusions 1. **Conclusion 1**: All men are cats. - Since all men are dogs and all dogs are cats, it follows that all men are also cats. This conclusion is **true**. 2. **Conclusion 2**: All cats are men. - This statement claims that every cat is a man. However, we know that there are cats that are not men (since there are dogs that are cats but not men). Therefore, this conclusion is **false**. ### Step 5: Final Decision - Based on the analysis: - Conclusion 1 is true. - Conclusion 2 is false. ### Summary of Results - Only Conclusion 1 follows from the statements provided.
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
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  2. Statements: 1. All pens are roads 2. All roads are houses Conclusi...

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  3. Statements: 1. All huts are banglows 2. All banglows are temples C...

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  4. Statements: 1. All cars are cats 2. All fans are cats Conclusions:...

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  5. Statements: 1. All roads are waters 2. Some waters are boats Concl...

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  6. Statements: 1. Some hens are cows 2. All cows are horses Conclusio...

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  7. Statements: 1. Some kings are queens 2. All queens are beautiful C...

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  8. Statements: 1. Some books are tables 2. Some tables are mirrors Co...

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  9. Statements: 1. Some papers are pens 2. Some pencils are pens Concl...

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  10. Statements: 1. All roads are poles 2. No pole is a house Conclusio...

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  11. Statements: 1. All mangoes are golden in colour 2. No golden-coloure...

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  12. Statements: 1. No magazine is cap. 2. All caps are cameras Conclus...

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  13. Statements: 1. No bat is ball 2. No ball is wicket Conclusions: 1....

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  14. Statements: 1. Most teachers are boys 2. Some boys are students Co...

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  15. Statements: 1. Some engineers are fools 2. Anand is an engineer Co...

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  16. Statements: 1. Some papers are pens 2. Angle is a paper Conclusion...

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  17. Statements: 1. All fish are grey in colour 2. Some fish are heavy ...

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  18. Statements: 1. All hill stations have a sun-set point 2. X is a hill...

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  19. Statements: 1. Raman is always successful 2. No fool is always succe...

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  20. Statements: 1. No gentleman is poor 2. All gentlemen are rich Conc...

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