Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some vehicles are helicopters.All helicopters are cars.Some cars are trucks.Conclusions:I. Some vehicles are cars.II. Some trucks are vehicles.III. Some cars are helicopters.
- ANone of the conclusions follow
- BOnly conclusions I and II follow
- COnly conclusions II and III follow
- DOnly conclusions I and III follow
Solution & Step-by-step Explanation
Let's evaluate the statements using a Venn diagram approach:"Some vehicles are helicopters" Intersection exists between Vehicles and Helicopters."All helicopters are cars" The entire Helicopters circle is inside the Cars circle. Since Vehicles intersects Helicopters, the Cars circle must also intersect Vehicles."Some cars are trucks" Intersection exists between Cars and Trucks.Now let's examine the conclusions:Conclusion I: "Some vehicles are cars." This is definitely true because the portion of vehicles that are helicopters is entirely inside cars. So, conclusion I follows.Conclusion II: "Some trucks are vehicles." There is no direct statement or constraint forcing the Trucks circle to overlap with Vehicles. It is possible but not definite. So, conclusion II does not follow.Conclusion III: "Some cars are helicopters." Since all helicopters are inside cars, the part of cars occupied by helicopters represents cars that are helicopters. This is definitely true.Therefore, only conclusions I and III follow.