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:
No rain is an earthquake.
All rains are floods.
Some rains are droughts.
Conclusions:
I. Some floods are earthquakes.
II. Some droughts are earthquakes.
III. Some floods are droughts.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some floods are earthquakes → False (It is possible, but no definite conclusion can be drawn.)
II. Some droughts are earthquakes → False (It is possible, but no definite conclusion can be drawn.)
III. Some floods are droughts → True (As all rains are floods, and some rains are droughts, so, some floods are droughts is also true.)
Hence, Only conclusion III follows.