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 cats are rats.
Some rats are white.
All white are milk.
Conclusions:
I. Some rats are cats.
II. Some whites are rats.
III. Some milk are white.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some rats are cats → True (As all cats are rats, so, some rats are cats is also true.)
II. Some whites are rats → True (As some rats are white, so, some whites are rats is also true.)
III. Some milk are white → True (As all whites are milk, so, some milk are white is also true.)
Hence, All conclusions follow.