Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All fruits are leaves.
Some mangoes are rotten.
All rotten are fruits.
Conclusions:
I. Some leaves are rotten.
II. Some mangoes are fruits.
III. All leaves are either rotten or mangoes.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some leaves are rotten → True (As all rotten are fruits, and all fruits are leaves, so some leaves are rotten.)
II. Some mangoes are fruits → True (As all rotten are fruits, and some mangoes are rotten, so, some mangoes are fruits.)
III. All leaves are either rotten or mangoes → False (It is possible, but no definite conclusion can be drawn).