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:
Some clowns are artists.
All artists are smart.
All smarts are rich.
Conclusions:
I. All artists are rich.
II. Some clowns are smart.
III. All clowns are artists.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatements:
Some clowns are artists.
All artists are smart.
All smarts are rich.
Conclusions:
I. All artists are rich → Follow → Since 'All artists are smart..' & 'All smarts are rich.' we can say that All artists are rich and the same can be seen in the Venn diagram so the conclusion follows
II. Some clowns are smart → Follow → Since 'Some clowns are artists.' & 'All artists are smart.' we can say that Some clowns are smart and the same can be seen in the Venn diagram so the conclusion follows
III. All clowns are artists → Does not follow → From the given statements 'Some clowns are artists' which means Clown is subset of Artists, therefore All clowns are artists is a possibility not necessity so the conclusion does not follow.
Hence, Both conclusions I and II follow.
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