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Statements: 1. All fish are grey in colo...

Statements: 1. All fish are grey in colour
2. Some fish are heavy
Conclusions: 1. All heavy fish are grey in colour
2. All light fish are not grey in colour

A

only conclusion 1 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 will analyze the statements and conclusions step by step. ### Step 1: Analyze the Statements 1. **Statement 1**: "All fish are grey in colour." - This means that every fish, without exception, falls into the category of grey fish. 2. **Statement 2**: "Some fish are heavy." - This indicates that within the group of fish, there exists a subset that is classified as heavy. ### Step 2: Analyze the Conclusions 1. **Conclusion 1**: "All heavy fish are grey in colour." - Since Statement 1 states that all fish are grey, and since some fish are heavy, it follows that all heavy fish must also be grey. Therefore, this conclusion is true. 2. **Conclusion 2**: "All light fish are not grey in colour." - This conclusion suggests that light fish (which are not heavy) are not grey. However, since Statement 1 asserts that all fish are grey, this conclusion contradicts the first statement. Therefore, this conclusion is false. ### Step 3: Final Evaluation - **Conclusion 1** is true because it logically follows from the statements. - **Conclusion 2** is false because it contradicts the first statement. ### Final Answer Only Conclusion 1 is valid. ---
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