Statements:Some tigers are goats.No goat is rat.All dogs are rats.Conc...
Statements:
- Some tigers are goats.
- No goat is rat.
- All dogs are rats.
Conclusions:
- I. No tiger is rat.
- II. No dog is goat.
- III. Some dogs are tigers
- IV. Some rats are tigers.
To determine which conclusions logically follow from the given statements, we need to analyze them one by one.
Conclusion I: No tiger is rat.
- Since no goat is rat, and some tigers are goats, we cannot conclude that no tiger is a rat. Therefore, conclusion I does not follow.
Conclusion II: No dog is goat.
- Since all dogs are rats and no goat is a rat, we can conclude that no dog is a goat. Therefore, conclusion II follows.
Conclusion III: Some dogs are tigers.
- Since some tigers are goats, and some goats are not rats, we cannot conclude that some dogs are tigers. Therefore, conclusion III does not follow.
Conclusion IV: Some rats are tigers.
- Since some tigers are goats, and some goats are not rats, we can conclude that some rats are tigers. Therefore, conclusion IV follows.
Therefore, the correct answer is option A: only either conclusion I or IV and conclusion II follow.