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 cans are dogs.
Some dogs are rats.
Some rats are apples.
Conclusions:
I. No cans are dogs.
II. Some rats are not dogs.
III. Some apples are rats.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No cans are dogs → False (All cans are already dogs so a negative conclusion can't be drawn)
II. Some rats are not dogs → False (It is possible, but no definite conclusion can be drawn.)
III. Some apples are rats → True (As some rats are apples, so, some apples are rats is also true.)
Hence, Only conclusion III follows.