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 valleys are mountains.
No sea is a mountain.
Some plains are seas.
Conclusions:
I. Some valleys are plains.
II. No plain is a mountain.
III. No sea is a valley.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some valleys are plains → False (It is possible but no definite conclusion can be drawn.)
II. No plain is a mountain → False (It is possible but no definite conclusion can be drawn.)
III. No sea is a valley → True (No sea is a mountain → so a sea can’t be a valley (since valleys are mountains)