Statements :All dusters are bowls.All bowls are shoes.No shoe is a roo...
It is clear from the venn diagram that both the conclusions follow.

View all questions of this test
Statements :All dusters are bowls.All bowls are shoes.No shoe is a roo...
OPTION B SHOULD BE RIGHT BECAUSE
IN FIRST CASE :-
ALL DUSTER ARE BOWLS
ALL BOWLS ARE SHOES SO, FROM THE RULE OF SYMMETRY IT SHOULD BE
ALL DUSTERS ARE SHOES
FOR SECOND CASE
NO SHOES IS A ROOT
ALL ROOTS ARE FLOWERS
THE IMMEDIATE INFERENCE OF NO X IS Y WILL BE{ NO Y IS X }
SO. THERE SHOULD BE NO RULE OF SYMMETRY SHOULD BE APPLICABLE
SO,
THE CORRECT ANSWER SHOULD BE "B" .
Statements :All dusters are bowls.All bowls are shoes.No shoe is a roo...
Given Information:
All dusters are bowls.
All bowls are shoes.
No shoe is a root.
All roots are flowers.
Conclusion:
(i) No flower is a bowl.
(ii) All dusters are shoes.
Explanation:
To logically deduce the conclusions that follow from the given statements, we need to analyze each statement and its relationship with other statements.
Statement 1: All dusters are bowls.
This statement implies that every duster falls under the category of a bowl. Therefore, it can be concluded that:
- All dusters are bowls. (Given)
Statement 2: All bowls are shoes.
This statement implies that every bowl falls under the category of a shoe. Therefore, it can be concluded that:
- All bowls are shoes. (Given)
Statement 3: No shoe is a root.
This statement implies that there is no shoe that falls under the category of a root. Therefore, it can be concluded that:
- No shoe is a root. (Given)
Statement 4: All roots are flowers.
This statement implies that every root falls under the category of a flower. Therefore, it can be concluded that:
- All roots are flowers. (Given)
Conclusion I: No flower is a bowl.
This conclusion implies that there is no flower that falls under the category of a bowl. To verify whether this conclusion follows logically from the given statements, we need to check whether there is any overlap between the categories of flower and bowl. As per the given statements, there is no direct relationship between flower and bowl. Therefore, it can be concluded that:
- No flower is a bowl. (Follows)
Conclusion II: All dusters are shoes.
This conclusion implies that every duster falls under the category of a shoe. To verify whether this conclusion follows logically from the given statements, we need to check whether there is any overlap between the categories of duster and shoe. As per the given statements, every bowl falls under the category of a shoe and every duster falls under the category of a bowl. Therefore, every duster falls under the category of a shoe. Hence, it can be concluded that:
- All dusters are shoes. (Follows)
Therefore, both conclusions I and II follow logically from the given statements.
Final answer:
Option E. Both conclusions I and II follow.