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Read the given statement(s) and conclusi...

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s).
Statement :
* All pink are flowers.
* All flowers are fragrant.
Conclusions :
1. Some flowers are pink.
2. Some fragrant are flowers.

A

Only conclusion 1 follows

B

Neither concluion follows

C

Only conclusion 2 follows

D

All conclusions follow

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the given statements and conclusions step by step. ### Step 1: Understand the Statements 1. **Statement 1**: All pink are flowers. - This means that every item in the category "pink" is also included in the category "flowers." 2. **Statement 2**: All flowers are fragrant. - This means that every item in the category "flowers" is also included in the category "fragrant." ### Step 2: Visual Representation To better understand the relationships, we can visualize the statements using Venn diagrams: - Draw a circle for "flowers." - Inside that circle, draw a smaller circle for "pink" (since all pink are flowers). - Now, draw another circle that represents "fragrant," which encompasses the entire "flowers" circle (since all flowers are fragrant). ### Step 3: Analyze the Conclusions Now, let's evaluate the conclusions based on our statements: 1. **Conclusion 1**: Some flowers are pink. - Since all pink are flowers, it logically follows that there are some flowers that are pink. Therefore, this conclusion is true. 2. **Conclusion 2**: Some fragrant are flowers. - Since all flowers are fragrant, it logically follows that there are some fragrant items that are flowers. Therefore, this conclusion is also true. ### Step 4: Final Conclusion Both conclusions logically follow from the statements provided. ### Answer Both conclusions are true. Therefore, the correct option is that both conclusions follow. ---
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