Statements: All roads are cars. No car is tree. Some trees are jungles. All jungles are rivers.Conclusions: I. Some rivers are roads.II. Some jungles are roads.III. Some cars are roads. IV. No jungle is road.OptionsNone followsOnly either II or IV and III followOnly either II or IV and I and III followOnly III and IV followOnly either II or IV follows
Question
Statements: All roads are cars. No car is tree. Some trees are jungles. All jungles are rivers.Conclusions: I. Some rivers are roads.II. Some jungles are roads.III. Some cars are roads. IV. No jungle is road.OptionsNone followsOnly either II or IV and III followOnly either II or IV and I and III followOnly III and IV followOnly either II or IV follows
Solution
The given statements can be represented as follows:
- All roads are cars: This means every road is a car.
- No car is a tree: This means there is no overlap between cars and trees.
- Some trees are jungles: This means there is some overlap between trees and jungles.
- All jungles are rivers: This means every jungle is a river.
Now, let's analyze the conclusions:
I. Some rivers are roads: This is not necessarily true. While all jungles are rivers, and some trees are jungles, there is no direct relationship between roads (which are all cars) and rivers.
II. Some jungles are roads: This is not necessarily true. While some trees are jungles, and no car is a tree, there is no direct relationship between roads (which are all cars) and jungles.
III. Some cars are roads: This is true. Since all roads are cars, it follows that some cars are roads.
IV. No jungle is road: This is true. Since no car is a tree, and some trees are jungles, it follows that no jungle (which is a subset of trees) can be a road (which is a subset of cars).
So, the correct option is "Only III and IV follow".
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