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 tomatoes are peas.
Some peas are potatoes.
All potatoes are fruits.
Conclusions:
I. Some tomatoes are potatoes.
II. Some fruits are potatoes.
III. Some peas are fruits.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some tomatoes are potatoes → False (It is possible, but no definite conclusion can be drawn).
II. Some fruits are potatoes → True (As all potatoes are fruits, so fruits are potatoes is true.)
III. Some peas are fruits → True (As some peas are potatoes and all potatoes are fruits, so, some peas are fruits is true.)