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

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

A

None of the conclusions follow

B

Only conclusion `2` follows

C

Only conclusion `1` follows

D

Both the conclusions follow

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step-by-step, we will analyze the statements and conclusions logically. ### Step 1: Understand the Statements 1. **Statement 1:** All petals are flowers. - This means that every petal is included in the category of flowers. 2. **Statement 2:** Some petals are yellow. - This indicates that there is an overlap between the petals and yellow items, meaning at least one petal is yellow. 3. **Statement 3:** All yellows are flowers. - This means that every yellow item is also included in the category of flowers. ### Step 2: Analyze the Conclusions 1. **Conclusion 1:** All flowers are yellow. - This conclusion suggests that every flower is a yellow item. However, from the statements, we know that there are flowers that are not yellow (since only some petals are yellow). Therefore, this conclusion does not logically follow. 2. **Conclusion 2:** All yellows are petals. - This conclusion implies that every yellow item is a petal. However, since we only know that some petals are yellow and that all yellows are flowers, it does not follow that all yellows must be petals. Therefore, this conclusion also does not logically follow. ### Step 3: Final Assessment - Since neither conclusion logically follows from the statements, we conclude that both conclusions are incorrect. ### Summary of the Solution - Conclusion 1: Incorrect (not all flowers are yellow). - Conclusion 2: Incorrect (not all yellows are petals). - Therefore, the answer is that none of the conclusions follow from the statements.
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