Question
Download Solution PDFThree statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All gorillas are bears.
All pigs are bears.
All bears are tigers.
Conclusions:
I. All pigs are tigers.
II. All tigers are gorillas.
III. Some tigers are pigs.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatements:
All gorillas are bears.
All pigs are bears.
All bears are tigers.
Conclusions:
I. All pigs are tigers → Follow → Since 'All pigs are bears.' and 'All bears are tigers.' we can say that All pigs are tigers and the same can be seen in the Venn diagram so the conclusion follows.
II. All tigers are gorillas → Does not follow → From the given statements 'All gorillas are bears.' and 'All bears are tigers.' Therefore 'All tigers are gorillas' is a possibility and the same can be seen in the Venn diagram so the conclusion does not follows.
III. Some tigers are pigs → Follow → Since 'All pigs are bears.' and 'All bears are tigers.' we can say that Some pigs are tigers and the same can be seen in the Venn diagram so the conclusion follows.
Hence, Only conclusions I and III follow.
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