Directions (71-73): In the question below three statements are given followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
Only a few September is October.
All November is September.
Only September is December.
Conclusions:
I. All December can be November.
II. Some November can be October.
Correct Answer :
Only conclusion II follows
Solution :
Correct Answer: Only conclusion II follows
Let us analyze the given statements step-by-step using syllogism rules and logical reasoning:
Given Statements:
1. "Only a few September is October" means:
- Some September are October.
- Some September are NOT October.
2. "All November is September" means:
- Every November belongs inside September (November ⊆ September).
3. "Only September is December" means:
- All December is September (December ⊆ September).
- December cannot belong to or share any overlap with any other entity except September (i.e., December cannot be November, October, etc.).
Evaluating Conclusion I:
"All December can be November."
From statement 3 ("Only September is December"), December can ONLY belong to September and cannot have any relationship or overlap with any other element like November.
Therefore, the possibility of December being November is strictly false.
Hence, Conclusion I does not follow.
Evaluating Conclusion II:
"Some November can be October."
We know that all November is September, and only a few September is October. There is no direct negative relation specified between November and October.
Therefore, it is entirely possible for some November to overlap with October.
Hence, Conclusion II follows.
Thus, only conclusion II logically follows from the given statements.
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