Question

Statements:
No apple is a plum.
All plums are oranges.
All oranges are mangoes.
Conclusions:
I. All plums are mangoes.
II. At least some mangoes are oranges.
Directions: In the question above are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows/follow from the given statements, disregarding commonly known facts.

• A. Neither I nor II follows
• B. Only I follows
• C. Either I or II follows
• D. Both I and II follow

Answer 1

The Correct Option is D

To determine which conclusions logically follow from the given statements, let's examine each one carefully:
Statements:
1. No apple is a plum.
2. All plums are oranges.
3. All oranges are mangoes.
Conclusions:
I. All plums are mangoes.
II. At least some mangoes are oranges.

Analysis:

• From Statement 2, "All plums are oranges," and Statement 3, "All oranges are mangoes," we can infer that "All plums are mangoes." Thus, Conclusion I directly follows the given statements.
• From Statement 3, "All oranges are mangoes," we can deduce that there is a subset of mangoes that are oranges. Therefore, "At least some mangoes are oranges" logically follows, making Conclusion II valid as well.

Result:
Both conclusions follow from the given statements. Hence, the correct answer is Both I and II follow.