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: 1. All boats are cats. 2. All cats are bats. 3. All bats are rabbits. Conclusions: I. All cats are rabbits. II. All bats are boats. III. All boats are rabbits.
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: 1. All boats are cats. 2. All cats are bats. 3. All bats are rabbits. Conclusions: I. All cats are rabbits. II. All bats are boats. III. All boats are rabbits. Correct Answer Only conclusions I and III follow
The least possible Venn diagram for the given statements is as follow:Conclusions:
I. All cats are rabbits → True (As all cats are bats and all bats are rabbits)
II. All bats are boats → False (This is possibility but not definite)
III. All boats are rabbits → True (As all boats are cats, all cats are bats, and all bats are rabbits)
Hence, Only conclusions I and III follow.