Three 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 spoons are forks. All forks are knives. No knife is a spatula. Conclusions: I. Some knives are spoons. II. No fork is a spatula. III. Some spoons are spatulas.
Only conclusions I and II follow
The correct answer is option 1 i.e. Only conclusions I and II follow.
The least possible Venn diagram is as follows:
Conclusions:
I. Some knives are spoons. - Follows (because All spoons are forks, and All forks are knives. So, Some knives are spoons also)
II. No fork is a spatula. - Follows (because All forks are knives and No knife is a spatula. So, No fork is a spatula it is true)
III. Some spoons are spatulas. Does not follow (because All spoons are forks, All forks are knives and No knife is a spatula. So, No spoon is a spatula)
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