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: No train is a car.
No auto is a train.
Conclusions: I. No car is an auto.
II. All autos are cars.
- AOnly conclusion I follows.
- BOnly conclusion II follows.
- CNeither conclusion I nor conclusion II follows.
- DEither conclusion I or conclusion II follows.
Solution & Step-by-step Explanation
Let's evaluate using Venn diagrams:
Statement 1: The set of "train" and "car" do not overlap.
Statement 2: The set of "auto" and "train" do not overlap.
From these statements, there is no direct relationship established between "car" and "auto". They may or may not overlap.
Conclusion I (No car is an auto) is a possibility but not definitely true in all cases.
Conclusion II (All autos are cars) is also not definitely true.
Since neither conclusion can be definitively concluded, neither follows. Note that they do not form a complementary pair for either-or because "No" and "All" do not make an either-or case.
Statement 1: The set of "train" and "car" do not overlap.
Statement 2: The set of "auto" and "train" do not overlap.
From these statements, there is no direct relationship established between "car" and "auto". They may or may not overlap.
Conclusion I (No car is an auto) is a possibility but not definitely true in all cases.
Conclusion II (All autos are cars) is also not definitely true.
Since neither conclusion can be definitively concluded, neither follows. Note that they do not form a complementary pair for either-or because "No" and "All" do not make an either-or case.