Conclusion (i): Some flowers are roots.Conclusion (ii): No tree is fr...
I) Only a few flowers are seeds. Some fruits are roots. All fruits are flowers. Only seed is tree.
From the above basic diagram, some flowers are roots. Hence conclusion (i) is true. Tree has positive relationship with only seed. So no tree is fruit is true. Hence conclusion (ii) is true.
ii) All fruits are roots. Some fruits are flowers. No tree is a root. Some trees are seeds.
From the above basic diagram, some flowers are roots. Hence conclusion (i) is true. From the above basic diagram, no tree is fruit. Hence conclusion (ii) is true.
iii) No fruit is a seed. Some seeds are trees. Only a few roots are trees. Some flowers are fruits.
From the basic diagram, no flower is root. Hence conclusion (i) is not true. There is no direct relationship between tree and fruit. So No tree is fruit is not true. Hence conclusion (ii) is not true.
Conclusion (i): Some flowers are roots.Conclusion (ii): No tree is fr...
To solve this question, we need to analyze the given conclusions and statements.
Conclusion (i): Some flowers are roots.
Conclusion (ii): No tree is fruit.
Statements (i): Only a few flowers are seeds. Some fruits are roots. All fruits are flowers. Only seed is tree.
Statements (ii): All fruits are roots. Some fruits are flowers. No tree is a root. Some trees are seeds.
Statements (iii): No fruit is a seed. Some seeds are trees. Only a few roots are trees. Some flowers are fruits.
Let's break down the given statements and conclusions to determine which ones are true and which ones are false.
Statements (i):
- Only a few flowers are seeds: This statement implies that there is a subset of flowers that are seeds. However, it does not provide any information about roots or fruits. Therefore, we cannot conclude that some flowers are roots based on this statement.
- Some fruits are roots: This statement directly contradicts conclusion (ii) which states that no tree is a fruit. Therefore, this statement is false.
- All fruits are flowers: This statement implies that every fruit is a flower. Since this statement contradicts conclusion (ii), it is false.
- Only seed is tree: This statement implies that the only thing that is a tree is a seed. It does not provide any information about the relationship between flowers, roots, or fruits. Therefore, we cannot conclude that some flowers are roots based on this statement.
Based on the above analysis, we can conclude that statement (i) does not support conclusion (i) because the statements do not provide sufficient information to establish a relationship between flowers and roots.
Statements (ii):
- All fruits are roots: This statement contradicts conclusion (ii) which states that no tree is a fruit. Therefore, this statement is false.
- Some fruits are flowers: This statement is not contradictory to any of the given conclusions. Therefore, it can be considered true.
- No tree is a root: This statement directly supports conclusion (ii) which states that no tree is a fruit. Therefore, it can be considered true.
- Some trees are seeds: This statement does not provide any information about the relationship between trees, flowers, roots, or fruits. Therefore, we cannot conclude that some trees are seeds based on this statement.
Based on the above analysis, we can conclude that statement (ii) supports conclusion (ii) because it provides information that no tree is a fruit, which is consistent with conclusion (ii).
Statements (iii):
- No fruit is a seed: This statement directly contradicts statement (i) which states that only a few flowers are seeds. Therefore, this statement is false.
- Some seeds are trees: This statement does not provide any information about the relationship between seeds, flowers, roots, or fruits. Therefore, we cannot conclude that some seeds are trees based on this statement.
- Only a few roots are trees: This statement implies that there is a subset of roots that are trees. It does not provide any information about flowers, fruits, or seeds. Therefore, we cannot conclude that some flowers are roots based on this statement.
- Some flowers are fruits: This statement is not contradictory to any of the given conclusions. Therefore, it can be considered true.
Based on the above analysis, we can conclude that statement (iii) supports conclusion (i) because it provides information that some flowers are fruits, which is consistent with conclusion (i).