In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement I: No fruits are berries
Statement II: Some cherries are fruits
Conclusion I: All berries are cherries
Conclusion II: Some cherries are berries
- AOnly conclusion I follows
- BOnly conclusion II follows
- CBoth conclusions I and II follow
- DNeither conclusion I nor conclusion II follows
Solution & Step-by-step Explanation
Let's evaluate using Venn diagrams:
Statement I implies the set of 'fruits' and 'berries' have completely zero overlap.
Statement II tells us that some 'cherries' overlap with 'fruits'.
Let's test the conclusions based on these conditions:
Conclusion I: "All berries are cherries" — There is no information linking all berries inside the circle of cherries. This is not necessarily true.
Conclusion II: "Some cherries are berries" — The portion of cherries that are fruits definitely cannot be berries (since no fruits are berries). The remaining portion of cherries might or might not be berries; it is not a definite conclusion.
Therefore, neither conclusion I nor conclusion II logically follows.
Statement I implies the set of 'fruits' and 'berries' have completely zero overlap.
Statement II tells us that some 'cherries' overlap with 'fruits'.
Let's test the conclusions based on these conditions:
Conclusion I: "All berries are cherries" — There is no information linking all berries inside the circle of cherries. This is not necessarily true.
Conclusion II: "Some cherries are berries" — The portion of cherries that are fruits definitely cannot be berries (since no fruits are berries). The remaining portion of cherries might or might not be berries; it is not a definite conclusion.
Therefore, neither conclusion I nor conclusion II logically follows.