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 mangoes are oranges.
No banana is orange.
Conclusions:
I. No mango is a banana.
II. At least some oranges are mangoes.
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 mangoes are oranges.
No banana is orange.
Conclusions:
I. No mango is a banana.
II. At least some oranges are mangoes.
Solution
All mangoes are oranges: the mango circle lies completely inside the orange circle.
No banana is orange: the banana circle lies completely outside the orange circle.
Conclusion I: Every mango is inside the orange circle, and no banana touches that circle.
So no mango can be a banana. Conclusion I follows.
Conclusion II: Since all mangoes are oranges, those mangoes are also some of the oranges.
So at least some oranges are mangoes. Conclusion II follows.
Therefore, both I and II follow.