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Statements: 1. All planets are moons 2...

Statements: 1. All planets are moons
2. All moons are stars
Conclusions: 1. All moons are planets
2. All planets are stars

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 logically, we will analyze the statements and conclusions step by step. ### Step 1: Analyze the Statements 1. **Statement 1**: All planets are moons. - This means that every planet falls under the category of moons. We can visualize this as a circle representing planets that is entirely contained within a larger circle representing moons. 2. **Statement 2**: All moons are stars. - This indicates that every moon is also a star. We can visualize this as the circle representing moons being entirely contained within an even larger circle representing stars. ### Step 2: Visual Representation - Let's represent this visually: - Draw a large circle for stars. - Inside this circle, draw another circle for moons. - Inside the moons circle, draw a smaller circle for planets. ### Step 3: Analyze the Conclusions 1. **Conclusion 1**: All moons are planets. - This conclusion is incorrect because while all planets are moons, not all moons are planets. There are moons that are not planets. 2. **Conclusion 2**: All planets are stars. - This conclusion is correct. Since all planets are moons (from Statement 1) and all moons are stars (from Statement 2), it follows that all planets must also be stars. ### Final Result - Conclusion 1 is **false**. - Conclusion 2 is **true**.
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
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  15. Statements: 1. No gentleman is poor 2. All gentlemen are rich Conc...

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

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