What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement?
Difficulty: Medium
About this MCQ
This Medium Discrete Mathematics MCQ checks one syllabus fact.
The question is: “What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement?”
The accepted answer is C. Contrapositive. Contrapositive is the fact required by “What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement” (option C). Option A (“Tautology”) does not match the stem; it is a near-miss used to catch incomplete recall of Contrapositive. Option B (“Intersection (set operation)”) does not match the stem; it is a near-miss used to catch incomplete recall of Contrapositive. Remaining alternatives (Union (set operation)) fall outside the same rule and should be eliminated once Contrapositive is identified. Discrete Mathematics questions of this type reward precise definitions rather than approximate associations. Discrete Mathematics recall of this distinction is a regular item in FPSC, PPSC, NTS, and CSS papers.
- A. Tautology
Why not A: “Tautology” is not correct. The accepted answer is C. Contrapositive. Contrapositive is the fact required by “What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement” (op
- B. Intersection (set operation)
Why not B: “Intersection (set operation)” is not correct. The accepted answer is C. Contrapositive. Contrapositive is the fact required by “What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement” (op
- C. Contrapositive ✓
- D. Union (set operation)
Why not D: “Union (set operation)” is not correct. The accepted answer is C. Contrapositive. Contrapositive is the fact required by “What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement” (op
Correct answer
C. Contrapositive
Explanation
Contrapositive is the fact required by “What is the name for a logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement” (option C). Option A (“Tautology”) does not match the stem; it is a near-miss used to catch incomplete recall of Contrapositive. Option B (“Intersection (set operation)”) does not match the stem; it is a near-miss used to catch incomplete recall of Contrapositive. Remaining alternatives (Union (set operation)) fall outside the same rule and should be eliminated once Contrapositive is identified. Discrete Mathematics questions of this type reward precise definitions rather than approximate associations. Discrete Mathematics recall of this distinction is a regular item in FPSC, PPSC, NTS, and CSS papers.
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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