Question

Given below are two statements, based on which some conclusions have been drawn. If the statements are true, which of the conclusion(s) can be said to be true?
Statement 1: All mammals are fish.
Statement 2: All fish are dolphins.

• A. Some of the fish are mammals
• B. None of the dolphins are mammals
• C. Some of the mammals are dolphins
• D. All mammals are dolphins

Hint:

In problems involving logical deductions, carefully assess how the statements relate to the conclusions and ensure that each conclusion aligns with the facts provided.

Answer 1

The Correct Option is C

Step 1: Analyzing the Statements.
We are given the following statements: - Statement 1: All mammals are fish. - Statement 2: All fish are dolphins.
Step 2: Evaluating the Conclusions.
Let’s evaluate each conclusion based on the two statements: - (a) Some of the fish are mammals: According to Statement 1, all mammals are fish. Hence, this conclusion is true because the fish that are mammals would exist. - (b) None of the dolphins are mammals: Statement 2 says that all fish are dolphins, but since all mammals are fish, this implies that all mammals are dolphins, which contradicts this conclusion. - (c) Some of the mammals are dolphins: This is correct because all mammals are fish, and all fish are dolphins (from the statements), so some mammals must be dolphins. - (d) All mammals are dolphins: This conclusion is too strong. While some mammals are dolphins, we cannot conclusively say all mammals are dolphins based on the given information.
Step 3: Conclusion.
The correct conclusion is (c), as it is logically valid based on the given statements.
\[ \boxed{\text{The correct answer is (c) Some of the mammals are dolphins.}} \]