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Each question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.
(A) Some preachers are persons of unfailing vigor.
(B) Some intellectuals are persons of unfailing vigor.
(C) No preacher is an intellectual.
(D) Some persons of unfailing vigor are not preachers.
(E) All preachers are persons of unfailing vigor.
(F) Some intellectuals are not preachers.
We shall test each option to find whether they are logically consistent or not:
1. CBA: It is clearly given that no preacher is an intellectual, while some intellectuals are persons of unfailing vigour. From this, we cannot conclude that some preachers are persons of unfailing vigour because there might be a case where preachers and persons with unfailing vigour are disjointed sets.
2. CBD: It is clearly given that no preacher is an intellectual, while some intellectuals are persons of unfailing vigour. From this, we can definitely conclude that some persons with unfailing vigour are not preachers, exactly those who are intellectuals.
3. ABD: We cannot conclude that some persons of unfailing vigour are not preachers, because there might be a case where both of them are overlapping sets with the same elements in total.
4. CBE: In this, we don't have any relationship given about persons with unfailing vigour and preachers. Hence, an invalid connection.
