Directions (96-100) : 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:
A few 345 are 836
Only 836 is 912
No 345 is 523
Conclusions:
I. Some 523 can be 836
II. A few 912 is 345
Correct Answer :
Only conclusion I follow
Solution :
Correct Answer: Only conclusion I follow
Step-by-step Explanation:
1. Understanding the Statements:
• "A few 345 are 836" means Some 345 are 836. There is a standard intersection between set 345 and set 836.
• "Only 836 is 912" is an exclusive statement. It translates logically to All 912 are 836, with the key condition that 912 cannot belong to any other set except 836 (i.e., No 912 can be 345, No 912 can be 523, etc.).
• "No 345 is 523" means set 345 and set 523 are completely disjoint; they share no common elements.
2. Evaluating Conclusion I: "Some 523 can be 836"
• 523 cannot overlap with 345.
• However, 523 can overlap with the part of 836 that is outside 345 (and outside 912).
• Since there is no negative condition restricting 523 from interacting with 836, the possibility of Some 523 being 836 is completely valid.
• Thus, Conclusion I follows.
3. Evaluating Conclusion II: "A few 912 is 345"
• As established from the statement "Only 836 is 912", elements of 912 can ONLY be part of 836 and cannot be shared with any other category like 345.
• Therefore, Some 912 are 345 is definitely false.
• Thus, Conclusion II does not follow.
Conclusion:
Only Conclusion I logically follows from the given statements.
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