Select the correct answerStatements:Some golds are silver.All silvers are white.No white is a yellow.Conclusions: I. Some golds which are white are not yellow.II. Some golds being yellow is a possibilityOptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Question
Select the correct answerStatements:Some golds are silver.All silvers are white.No white is a yellow.Conclusions: I. Some golds which are white are not yellow.II. Some golds being yellow is a possibilityOptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Solution
The correct answer is "If only conclusion I follows".
Here's the step by step reasoning:
Statement 1: Some golds are silver. Statement 2: All silvers are white. Statement 3: No white is a yellow.
From these statements, we can infer that some golds are white (because some golds are silver and all silvers are white).
Conclusion I: Some golds which are white are not yellow. This conclusion follows because we know from statement 3 that no white is a yellow. Therefore, the golds that are white cannot be yellow.
Conclusion II: Some golds being yellow is a possibility. This conclusion does not follow because we know from the previous statements that the golds that are white cannot be yellow. There is no information given that suggests any gold could be yellow.
Therefore, only conclusion I follows.
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