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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) No wealthy persons are vagrants.
(B) All lawyers are wealthy persons.
(C) Some lawyers are vagrants.
(D) Some wealthy persons are not vagrants.
(E) No lawyers are vagrants.
(F) All lawyers are vagrants.
In this, we shall test each option to arrive at the correct pair.
1. No wealthy persons are vagrants, All lawyers are wealthy persons, Some lawyers are vagrants: This is logically inconsistent, because it can be clearly seen that wealthy people can't be vagrants, and all lawyers are wealthy people. Hence, they cannot be vagrants.
2. All lawyers are wealthy persons, No lawyers are vagrants, All lawyers are vagrants: The second and third statements are contradictory in nature, hence logically inconsistent.
3. No wealthy persons are vagrants, All lawyers are wealthy persons, All lawyers are vagrants: This is logically inconsistent by the same logic as Option 1.
4. No wealthy persons are vagrants, All lawyers are wealthy persons, No lawyers are vagrant: This is logically consistent because it can be clearly seen that wealthy people can't be vagrants, and all lawyers are wealthy people. Hence, they cannot be vagrants.
