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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: All bulbs are lights. Some lights are fans. Conclusions: (I) Some fans are bulbs. (II) All bulbs are fans.
Only conclusion (I) follows
Only conclusion (II) follows
Neither conclusion (I) nor (II) follows
Both conclusions (I) and (II) follow
Neither conclusion (I) nor (II) follows
Visualize Venn diagram: All bulbs are inside the lights circle. Fans intersect the lights circle, but we don't know if fans overlap with the bulbs circle.
Visualize Venn diagram: All bulbs are inside the lights circle. Fans intersect the lights circle, but we don't know if fans overlap with the bulbs circle.
Analyze Statements
Statement 1: 'All bulbs are lights' means the 'Bulb' set is fully contained within the 'Light' set. Statement 2: 'Some lights are fans' means the 'Light' set and 'Fan' set share a common region.
Evaluate Conclusion (I)
Conclusion (I): 'Some fans are bulbs'. Since the relationship between 'Fans' and 'Bulbs' is not defined (the overlap is possible but not mandatory), this does not logically follow.
Evaluate Conclusion (II)
Conclusion (II): 'All bulbs are fans'. This is not supported by the given statements, as we only know some lights are fans, not that bulbs specifically are fans.
A: Incorrect, neither follows. B: Incorrect, neither follows. D: Incorrect, neither follows.
C is correct because the provided statements do not establish a definite relationship between fans and bulbs, so neither conclusion is logically valid.
In syllogisms, if a relationship between two elements is not explicitly stated or forced by the diagrams, consider it as 'does not follow' even if it could potentially be true in some scenarios.
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