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:
Some peas are pineapples.
No pineapple is a broccoli.
All broccolis are potatoes.
Conclusions:
I. Some peas being potatoes is a possibility.
II. All pineapples being potatoes is a possibility.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some peas being potatoes is a possibility → True (As some peas are pineapples, no pineapple is broccoli, all broccolis are potatoes, so some peas being potatoes is possible.)
II. All pineapples being potatoes is a possibility → True (As some peas are pineapples, no pineapple is broccoli, all broccolis are potatoes, so all pineapples being potatoes is possible.)