In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
I. All apples are bees.
II. Some apples are cannons.
III. No cannon is a dear.
Conclusions:
I. Some cannons are bees.
II. No dear is an apple.
- ABoth conclusions I and II follow
- BOnly conclusion II follows
- COnly conclusion I follows
- DNeither conclusion I nor II follows
Solution & Step-by-step Explanation
Let's evaluate the statements:
"All apples are bees" means the set of apples is entirely inside the set of bees.
"Some apples are cannons" means there is an intersection between apples and cannons. Since all apples are inside bees, the part of cannons that intersects with apples must also be inside bees. Therefore, Conclusion I ("Some cannons are bees") definitely follows.
"No cannon is a dear" means the set of cannons and the set of dears are completely disjoint. However, this does not give definite information about the relation between dear and apple; a dear could potentially intersect with the remaining part of apples that are not cannons. Thus, Conclusion II ("No dear is an apple") does not logically follow.
Therefore, only conclusion I follows.
"All apples are bees" means the set of apples is entirely inside the set of bees.
"Some apples are cannons" means there is an intersection between apples and cannons. Since all apples are inside bees, the part of cannons that intersects with apples must also be inside bees. Therefore, Conclusion I ("Some cannons are bees") definitely follows.
"No cannon is a dear" means the set of cannons and the set of dears are completely disjoint. However, this does not give definite information about the relation between dear and apple; a dear could potentially intersect with the remaining part of apples that are not cannons. Thus, Conclusion II ("No dear is an apple") does not logically follow.
Therefore, only conclusion I follows.