Q200
ReasoningSyllogism & Logical Deduction
"If a person is highly educated, then he earns well." — Then which of the following options is necessarily correct?
- a.Suman earns well, so he is highly educated.
- b.Illiterate people cannot earn well.
- c.All persons with good income must be highly educated.
- d.All persons with high education has good earnings.
Answer: (D) All persons with high education has good earnings.
The statement has the form 'if P then Q' (highly educated implies earns well). Option D, 'all highly educated persons have good earnings', is the same statement in other words, so it must be true. Options A and C are the converse ('if Q then P'), the error called affirming the consequent, since a person may earn well without being highly educated. Option B is the inverse ('if not P then not Q'), which also does not follow. The only other statement that is logically equivalent to the original is its contrapositive: 'a person who does not earn well is not highly educated'.