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Statements: 1. All windows are needles ...

Statements: 1. All windows are needles
2. Some trees are windows
Conclusions: 1. Some trees are needles
2. Some trees are not needles

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:** All windows are needles. - This means that every window is included in the category of needles. - **Statement 2:** Some trees are windows. - This indicates that there is at least one tree that is also a window. 2. **Visual Representation:** - Let's represent the statements using Venn diagrams: - Draw a large circle for needles. - Inside this circle, draw a smaller circle for windows (since all windows are needles). - Now, draw another circle for trees that overlaps with the window circle, indicating that some trees are windows. 3. **Analyzing Conclusion 1:** - **Conclusion 1:** Some trees are needles. - Since some trees are windows and all windows are needles, it follows that those trees that are windows must also be needles. - Therefore, this conclusion is **true**. 4. **Analyzing Conclusion 2:** - **Conclusion 2:** Some trees are not needles. - We cannot definitively determine this from the statements provided. While some trees are windows (and thus needles), we do not know if there are trees that are not windows. - Therefore, this conclusion is **not necessarily true**. 5. **Final Evaluation:** - Based on the analysis: - Conclusion 1 is true. - Conclusion 2 is false. - Thus, only Conclusion 1 follows from the statements. ### Final Answer: Only conclusion 1 is true. ---
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
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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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  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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