Read the given statements and conclusions carefully.
Assuming that the given information in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
(A) All roads are vehicles.
(B) Some vehicles are trees.
Conclusions:
I. All trees are roads.
II. All vehicles are trees.
Read the given statements and conclusions carefully.
Assuming that the given information in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
(A) All roads are vehicles.
(B) Some vehicles are trees.
Conclusions:
I. All trees are roads.
II. All vehicles are trees.
Solution
Looking at the given statements:
(A) All roads are vehicles.
(B) Some vehicles are trees.
From these statements, we can establish:
- Roads ⊂ Vehicles (all roads are contained within vehicles)
- Vehicles ∩ Trees ≠ ∅ (there is some overlap between vehicles and trees)
Examining Conclusion I: "All trees are roads"
From statement (B), only some vehicles are trees, meaning there exists an overlap between vehicles and trees.
From statement (A), roads form a subset of vehicles.
However, there is no information establishing any relationship between trees and roads. The fact that some vehicles are trees does not imply that all trees must be roads (or even that any tree is a road).
Conclusion I does not follow.
Examining Conclusion II: "All vehicles are trees"
Statement (B) explicitly states "Some vehicles are trees," which means only a portion of vehicles are trees, not all.
If all vehicles were trees, the statement would have said "All vehicles are trees" rather than "Some vehicles are trees."
Conclusion II directly contradicts the given information.
Conclusion II does not follow.
Since neither conclusion I nor conclusion II logically follows from the given statements, the correct answer is Option 4.
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2026: 31 May Shift 1