Question11Max. score: 4.00Which conclusion(s) are correct for the statements?Statements:Some fruits are yellow. All yellow is blue. Some red in blue.Conclusions:I. Some red is yellow.II. Some blue is yellow.III. Some fruits are blueNeither I nor II followsBoth II and III followsOnly I followsOnly III follows
Question
Question11Max. score: 4.00Which conclusion(s) are correct for the statements?Statements:Some fruits are yellow. All yellow is blue. Some red in blue.Conclusions:I. Some red is yellow.II. Some blue is yellow.III. Some fruits are blueNeither I nor II followsBoth II and III followsOnly I followsOnly III follows
Solution
To determine which conclusions are correct for the given statements, let's analyze each conclusion one by one:
Conclusion I: "Some red is yellow." To evaluate this conclusion, we need to examine the statements. The first statement states that "Some fruits are yellow," but it does not provide any information about red. Therefore, we cannot conclude that some red is yellow based on the given statements. Hence, Conclusion I does not follow.
Conclusion II: "Some blue is yellow." The second statement states that "All yellow is blue." This means that everything that is yellow is also blue. Therefore, we can conclude that some blue is yellow based on the given statements. Hence, Conclusion II follows.
Conclusion III: "Some fruits are blue." The third statement states that "Some red in blue." However, this statement does not provide any information about fruits being blue. Therefore, we cannot conclude that some fruits are blue based on the given statements. Hence, Conclusion III does not follow.
In summary, only Conclusion II ("Some blue is yellow") follows from the given statements.
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