Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
I. All ovens are stoves.
II. No stove is a fridge.
Conclusions:
I. No oven is a fridge.
II. Some fridges are ovens.
- AEither conclusion I or II follows
- BNeither conclusion I nor II follows
- COnly conclusion I follows
- DOnly conclusion II follows
Solution & Step-by-step Explanation
1. From statement I, all ovens are subset of stoves (Ovens⊆Stoves).
2. From statement II, no stove is a fridge (Stoves∩Fridges=∅).
3. Since all ovens are inside stoves, and no part of stoves can touch fridges, it completely rules out any intersection between ovens and fridges (Ovens∩Fridges=∅).
Hence, Conclusion I ("No oven is a fridge") definitely follows, while Conclusion II ("Some fridges are ovens") is completely false.
2. From statement II, no stove is a fridge (Stoves∩Fridges=∅).
3. Since all ovens are inside stoves, and no part of stoves can touch fridges, it completely rules out any intersection between ovens and fridges (Ovens∩Fridges=∅).
Hence, Conclusion I ("No oven is a fridge") definitely follows, while Conclusion II ("Some fridges are ovens") is completely false.