Two 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 fruits are flowers.
No flower is a leaf.
Conclusions:
I. Some flowers are fruits
II. No fruit is a leaf.
III. All flowers are fruits.
- ABoth conclusions I and II follow.
- BConclusions I, II and III follow.
- CBoth conclusions II and III follow.
- DBoth conclusions I and III follow.
Solution & Step-by-step Explanation
Let's check each conclusion based on the statements:
Statement 1: All fruits are flowers. This implies that the set of fruits is entirely contained inside the set of flowers. Therefore, "Some flowers are fruits" is definitely true. So, Conclusion I follows.
Statement 2: No flower is a leaf. Since all fruits are inside flowers, and no flower can be a leaf, it follows that no fruit can be a leaf either. Thus, Conclusion II follows.
Conclusion III: "All flowers are fruits." We only know all fruits are flowers, but we cannot say all flowers are fruits. Thus, Conclusion III does not follow.
Therefore, both conclusions I and II follow.
Statement 1: All fruits are flowers. This implies that the set of fruits is entirely contained inside the set of flowers. Therefore, "Some flowers are fruits" is definitely true. So, Conclusion I follows.
Statement 2: No flower is a leaf. Since all fruits are inside flowers, and no flower can be a leaf, it follows that no fruit can be a leaf either. Thus, Conclusion II follows.
Conclusion III: "All flowers are fruits." We only know all fruits are flowers, but we cannot say all flowers are fruits. Thus, Conclusion III does not follow.
Therefore, both conclusions I and II follow.