Consider the conditional rule: 'If an employee successfully completes the probationary period, then she is entitled to permanent appointment.' What is the logically equivalent contrapositive statement?
Answer and explanation
Correct answer: D. If an employee is not entitled to permanent appointment
- Step 1: A conditional statement 'If P, then Q' is logically equivalent to its contrapositive 'If Not Q, then Not P'. Step 2. Here, P = 'completes probation', Q = 'entitled to permanent appointment'. Step 3. Contrapositive: 'If not entitled to permanent appointment, then did not complete probation.' Answer: If an employee is not entitled to permanent appointment, then she did not complete probation. Why not the others: 'If Q, then P' is the converse (not necessarily valid); 'If Not P, then Not Q' is the inverse (not necessarily valid).
Practise more Number Series, Logic, Word Association and Analytical Data Interpretation.
Free questions with an explanation for every one, and full timed Philippine Civil Service Exam mock tests.
More Number Series, Logic, Word Association and Analytical Data Interpretation questions
- What is the next number in the arithmetic sequence: 4, 11, 18, 25, 32, ___?
- What is the next number in the geometric progression: 3, 6, 12, 24, 48, ___?
- What is the next term in the alternating number series: 5, 20, 8, 17, 11, 14, 14, ___?
- What is the next number in the series: 2, 5, 10, 17, 26, ___?
- What is the next term in the additive Fibonacci-style sequence: 2, 3, 5, 8, 13, 21, ___?
- What is the next number in the sequence: 1, 4, 13, 40, 121, ___?