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In each question below are given two statements followed by four conclusions numbered I, II, III and IV. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the two given statements disregarding commonly known facts.
Statements :
1. Some dogs are cats.
2. Some tigers are cats.
Conclusions :
I. Every cat is either a dog or a tiger.
II. Some dogs are tigers.
III. No tiger is a dog.
IV. Some cats are dogs as well as tigers
Following are the possible conclusions of 'Some dogs are cats': 'Some dogs are cats, and vice versa', 'All dogs are cats, and vice versa', 'All dogs are cats, and not vice versa'.Ā
Following are the possible conclusions of 'Some tigers are cats':Ā 'Some tigersĀ are cats, and vice versa', 'All tigers are cats, and vice versa', 'All tigers are cats, and not vice versa'.
We shall now eliminate each of the options which is not a universal conclusion based on the given premises. The conclusions which will hold true everytime will be our answer.Ā
1.Ā Every cat is either a dog or a tiger.: There is nothing that states that each of the cats falls definitely within one of the sets (dog or tiger). Hence, an invalid conclusion as not universal in nature.Ā
2 and 3:Ā Some dogs are tigers andĀ No tiger is a dog: These two shall be the only possible cases, and hence one of them shall be true everytime.Ā
4.Ā Some cats are dogs as well as tigers: We are not sure whether there are cats who fall in the intersection of dogs and tigers. Hence, an invalid conclusion.
