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Below are given statements followed by s...

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.
Statements:
A. Some fruits are vegetables.
B. All vegetables are plants.
Conclusions:
I. Some plants are vegetables.
II. Some fruits are plants.
A. Only conclusion I follows
B. Only conclusion II follows
C. Both I and II follow
D. Neither of them follows

A

A

B

B

C

C

D

D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given statements and conclusions logically. Let's break it down step by step. ### Step 1: Understand the Statements - **Statement A**: Some fruits are vegetables. - **Statement B**: All vegetables are plants. ### Step 2: Visualize with a Venn Diagram 1. Draw three circles: - Circle 1 for Fruits - Circle 2 for Vegetables - Circle 3 for Plants 2. According to Statement A, there is an overlap between the Fruits circle and the Vegetables circle, indicating that some fruits are indeed vegetables. 3. According to Statement B, the entire Vegetables circle is contained within the Plants circle, indicating that all vegetables are plants. ### Step 3: Analyze the Conclusions - **Conclusion I**: Some plants are vegetables. - Since all vegetables are plants (from Statement B), it logically follows that some plants (those that are vegetables) exist. Therefore, Conclusion I is true. - **Conclusion II**: Some fruits are plants. - From Statement A, we know that some fruits are vegetables. Since all vegetables are plants (from Statement B), it follows that those fruits that are vegetables must also be part of the plants category. Therefore, Conclusion II is also true. ### Step 4: Determine Which Conclusions Follow Both conclusions I and II logically follow from the given statements. ### Final Answer The correct option is **C. Both I and II follow**. ---
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