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:
No truck is a bus.
Some buses are cars.
Conclusions:
I. No bus is a truck.
II. All cars are trucks.
III. Some cars are buses.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 1 i.e. Both conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No bus is a truck → True (As no truck is a bus, so, no bus is a truck is also true.)
II. All cars are trucks → False (It is possible, but no definite conclusion can be drawn.)
III. Some cars are buses → True (As some buses are cars, so, some cars are buses is also true.)
Hence, Both conclusions II and III follow.