The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
All Strong are animals.
Some animals are Tigers.
All Tigers are Sharp.
Conclusions:
I. Some Strong are Sharp.
II. No Strong is Sharp.
- AOnly conclusion II follows
- BNeither conclusion I nor II follows
- CEither conclusion I or II follows
- DOnly conclusion I follows
Solution & Step-by-step Explanation
Let's analyze the relations:
"All Strong are animals" means the circle of Strong is inside Animals.
"Some animals are Tigers" means there is an intersection between Animals and Tigers. However, this intersection may or may not touch the circle of Strong.
"All Tigers are Sharp" means the circle of Tigers is entirely inside Sharp.
Now let's check the conclusions:
Conclusion I: "Some Strong are Sharp." This can be true in some scenarios but is not definitely true in all cases.
Conclusion II: "No Strong is Sharp." This can also be true in some scenarios but is not definitely true in all cases.
Since Conclusion I and Conclusion II form a complementary pair ("Some A are B" and "No A is B") concerning the same subjects (Strong and Sharp), one of them must definitely be true in any possible scenario. Therefore, the relation follows the Either conclusion I or II follows logic.
"All Strong are animals" means the circle of Strong is inside Animals.
"Some animals are Tigers" means there is an intersection between Animals and Tigers. However, this intersection may or may not touch the circle of Strong.
"All Tigers are Sharp" means the circle of Tigers is entirely inside Sharp.
Now let's check the conclusions:
Conclusion I: "Some Strong are Sharp." This can be true in some scenarios but is not definitely true in all cases.
Conclusion II: "No Strong is Sharp." This can also be true in some scenarios but is not definitely true in all cases.
Since Conclusion I and Conclusion II form a complementary pair ("Some A are B" and "No A is B") concerning the same subjects (Strong and Sharp), one of them must definitely be true in any possible scenario. Therefore, the relation follows the Either conclusion I or II follows logic.