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Statements: 1. Some engineers are fools ...

Statements: 1. Some engineers are fools
2. Anand is an engineer
Conclusions: 1. Some fools are engineers
2. Anand is a fool

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. Here’s a step-by-step breakdown: ### Step 1: Understand the Statements We have two statements: 1. Some engineers are fools. 2. Anand is an engineer. ### Step 2: Visual Representation To visualize the statements, we can use Venn diagrams: - Draw two overlapping circles. - One circle represents "Engineers." - The other circle represents "Fools." - The overlapping area indicates that there are some individuals who are both engineers and fools. ### Step 3: Analyze Conclusion 1 The first conclusion states: "Some fools are engineers." - Since the first statement tells us that some engineers are fools, it implies that there are indeed some individuals in the "Fools" circle who are also in the "Engineers" circle. - Therefore, conclusion 1 is **true**. ### Step 4: Analyze Conclusion 2 The second conclusion states: "Anand is a fool." - The second statement tells us that Anand is an engineer, but it does not provide any information about whether Anand is a fool or not. - Since we cannot definitively say that Anand falls within the "Fools" circle based on the information given, conclusion 2 is **false**. ### Step 5: Final Evaluation Based on the analysis: - Conclusion 1 is true. - Conclusion 2 is false. Thus, the correct answer is that **only conclusion 1 follows**. ### Summary of the Solution - Conclusion 1: True (Some fools are engineers). - Conclusion 2: False (Anand is not necessarily a fool).
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
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  2. Statements: 1. Some kings are queens 2. All queens are beautiful C...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Statements: 1. All planets are moons 2. All moons are stars Conclu...

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  17. Statements: 1. All flowers are stems 2. All stems are roots Conclu...

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  18. Statements: 1. All coins are crows 2. Some crows are pens Conclusi...

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  19. Statements: 1. All apples are oranges 2. Some oranges are papayas ...

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  20. Statements: 1. All windows are needles 2. Some trees are windows C...

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