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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 shirts are pants. Some pants are tie. Conclusions: (I) At least some pants are shirts. (II) Some shirts are tie.
Only conclusion II follows
Only conclusion I follows
Neither conclusion I nor II follows
Both conclusions I and II follow
Only conclusion I follows
Visualize Venn diagrams: Since all shirts are inside the pants circle and only some pants overlap with ties, the relationship between shirts and ties is uncertain.
Visualize Venn diagrams: Since all shirts are inside the pants circle and only some pants overlap with ties, the relationship between shirts and ties is uncertain.
Analyze Statement 1
All shirts are pants. This means the 'shirts' category is a subset of the 'pants' category. Therefore, all shirts are definitely pants, and some pants are definitely shirts.
Analyze Statement 2
Some pants are tie. This implies an intersection between the 'pants' circle and the 'tie' circle. However, there is no information linking the 'shirt' subset directly to the 'tie' circle.
Evaluate Conclusions
Conclusion (I) 'At least some pants are shirts' is true because if all shirts are pants, then automatically some pants must be shirts. Conclusion (II) 'Some shirts are tie' is uncertain (possible but not guaranteed), so it does not logically follow.
A: Both following is wrong because II is uncertain; C: Only II follows is wrong because I is true and II is uncertain; D: Neither follows is wrong because I is definitely true.
B is correct because Conclusion I is a direct subset relationship derived from 'All shirts are pants', while Conclusion II is not necessarily true.
In Syllogisms, if a relationship between two categories is not explicitly mentioned or forced by the statements, it is considered 'uncertain' or 'does not follow'.
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