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 only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II 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 only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II 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. This means there is at least some overlap between golds and silvers.
Statement 2: All silvers are white. This means all things that are silver are also white. So, the golds that are silver (from Statement 1) are also white.
Statement 3: No white is a yellow. This means there is no overlap between whites and yellows. So, the golds that are white (from Statement 2) cannot be yellow.
Conclusion I: Some golds which are white are not yellow. This is true based on Statements 2 and 3.
Conclusion II: Some golds being yellow is a possibility. This is not necessarily true. While some golds could be yellow, we know from Statement 3 that any golds which are white (and some must be, based on Statements 1 and 2) cannot be yellow. So, we cannot say for sure that some golds being yellow is a possibility.
Therefore, only conclusion I follows.
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