Two statements are given followed by two conclusions numbered I and II. 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) Some Cats are Rats. 2) All Rats are Bats. Conclusions: I. Some Cats are Bats. II. Some Bats are Cats.
Two statements are given followed by two conclusions numbered I and II. 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) Some Cats are Rats. 2) All Rats are Bats. Conclusions: I. Some Cats are Bats. II. Some Bats are Cats. Correct Answer Both conclusions I and II follow
The least possible Venn diagram for the given statements is as follow:
[ alt="F1 Shraddha Pooja S 12.02.2021 D28" src="//storage.googleapis.com/tb-img/production/21/02/F1_Shraddha_Pooja%20S_12.02.2021_D28.png" style="width: 190px; height: 144px;">
Conclusions:
I. Some Cats are Bats → True (As some cats are rats and all rats are bats)
II. Some Bats are Cats → True(As some cats are rats and all rats are bats)
Hence, Both conclusions I and II follow.