Question
Statements:Â All bulls are cows.
>Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â No cow is ox. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Some ox are buffaloes. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â All ox are cattle. Conclusion:Â Â Â I. Some cattle are ox. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. Some cows are bulls. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â III. Some buffaloes are cows. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â IV. Some ox are bulls. In each question below are given some statements followed by four conclusions numbered I, II, III and IV are given. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.ÂSolution
All ox are cattle (A) ⇒ Conversion ⇒ Some cattle are ox. (I). Hence conclusion I follows. All bulls are cows. (A) ⇒ Conversion ⇒ Some cows are bulls(I). Hence conclusion II follows. No cow is ox(E) + Some ox are buffaloes(I) ⇒ Some buffaloes are not cows(O*). Hence conclusion III does not follow. All bulls are cows(A) + No cow is ox(E) ⇒ No bull is a ox(E) ⇒ Conversion ⇒ Some ox are not bulls(O). Hence conclusion IV does not follow.
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