Question
Download Solution PDFThree Statements are given followed by four conclusions numbered 1, 2, 3,and 4. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically does NOT follow(s) from the statements.
Statements:
All P are G.
Some G are B.
All B are C.
Conclusions:
1) All P being C is a possibility.
2) Some P are B.
3) Some C are G.
4) Some G are P
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions:
1) All P being C is a possibility → Follow (As all P are G, some G are B and all B are C. So, as no negative or cross relation between P and C is given, therefore it is definitely true)
2) Some P are B → Does not follow (As all P are G and some G are B. So, it is possible but not definitely true)
3) Some C are G → Follow (As some G are B and all B are C. So, as Some part of G are B which whole comes in C, therefore it is definitely true)
4) Some G are P → Follow (As all P are G. So, Some G are P is definitely true)
∴ Here, All conclusions follows, except conclusion - (2).
Hence, the correct answer is "Only 2nd does not follow"
Last updated on Jul 14, 2025
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