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Statements: 1. All women are mothers. ...

Statements: 1. All women are mothers.
2. All mothers are sisters.
Conclusions: 1. All women are sisters.
2. Some women are not sisters.

A

only conclusion I 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 1: Understand the Statements** - Statement 1: All women are mothers. - Statement 2: All mothers are sisters. This means that every individual who is a woman is also a mother, and every individual who is a mother is also a sister. **Step 2: Visual Representation** We can represent the relationships using Venn diagrams: - Draw a circle for women (W). - Inside that circle, draw a larger circle for mothers (M) since all women are mothers. - Then, draw another larger circle that encompasses the mothers circle for sisters (S) since all mothers are sisters. This gives us the following hierarchy: - Women (W) are completely inside Mothers (M). - Mothers (M) are completely inside Sisters (S). **Step 3: Analyze Conclusion 1** - Conclusion 1: All women are sisters. Since all women are mothers and all mothers are sisters, it follows that all women must also be sisters. Therefore, Conclusion 1 is true. **Step 4: Analyze Conclusion 2** - Conclusion 2: Some women are not sisters. Since we have established that all women are sisters, it is impossible for some women to not be sisters. Therefore, Conclusion 2 is false. **Final Evaluation** - Conclusion 1 is true. - Conclusion 2 is false. Thus, the correct answer is that only Conclusion 1 follows.
To solve the problem, we need to analyze the given statements and conclusions logically. **Step 1: Understand the Statements** - Statement 1: All women are mothers. - Statement 2: All mothers are sisters. This means that every individual who is a woman is also a mother, and every individual who is a mother is also a sister. ...
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