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Statements : 1. Some dogs are goats 2....

Statements : 1. Some dogs are goats
2. All goats are cows
Conclusions: 1. All cows are goats
2. Some dogs are cows

A

only conclusion 1 follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusion 1 nor 2 follows,

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The correct Answer is:
To solve the problem, we need to analyze the statements and the conclusions logically. Let's break it down step by step. ### Step 1: Understand the Statements 1. **Statement 1**: Some dogs are goats. 2. **Statement 2**: All goats are cows. ### Step 2: Visualize the Statements We can visualize the relationships using Venn diagrams: - Draw a circle for **Dogs**. - Draw a circle for **Goats** that overlaps with the Dogs circle, indicating that some dogs are goats. - Draw a larger circle for **Cows** that encompasses the Goats circle, indicating that all goats are cows. ### Step 3: Analyze the Conclusions 1. **Conclusion 1**: All cows are goats. - This conclusion implies that the entire Cows circle is within the Goats circle. However, since we know that all goats are cows but not all cows are goats (as there are cows that are not goats), this conclusion is **false**. 2. **Conclusion 2**: Some dogs are cows. - Since we know that some dogs are goats and all goats are cows, it follows that those dogs that are goats are also cows. Therefore, this conclusion is **true**. ### Step 4: Final Assessment Based on the analysis: - Conclusion 1 is false. - Conclusion 2 is true. Thus, the correct answer is that **only conclusion 2 follows**.

To solve the problem, we need to analyze the statements and the conclusions logically. Let's break it down step by step. ### Step 1: Understand the Statements 1. **Statement 1**: Some dogs are goats. 2. **Statement 2**: All goats are cows. ### Step 2: Visualize the Statements We can visualize the relationships using Venn diagrams: ...
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 3
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  12. How is D related to A? I. B is the brother of A. II. B is D's son.

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  13. How is J related to P? I. M is brother of P and T is sister of P. ...

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  14. How is T related to K? I. R's sister J has married T's brother L, w...

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  15. B is the brother of A. How is A related to B? I. A is the sister of ...

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  16. How is M related to N? I. P, who has only two kids, M and N, is the ...

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  17. How is Tanya related to the man in the photo graph? I. Man in the ph...

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  18. Who is to the immediate right of P among five persons P, Q, R, S and T...

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  19. In a row of five children A, B, C, D and E, who is standing in the mid...

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  20. In a row of five buildings - P, Q, R, S and T, which building is in th...

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