Implication & Logical Equivalence MCQs Class 11
Implication & Logical Equivalence MCQs Class 11
Class: CBSE Class 11 Mathematics
Subject: Mathematics
Section: Mathematical Reasoning
Topic: Implication & Logical Equivalence
Board: CBSE Board Examinations
Subject: Mathematics
Section: Mathematical Reasoning
Topic: Implication & Logical Equivalence
Board: CBSE Board Examinations
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination standards. Each question includes detailed explanations for strong conceptual clarity.
1. “If p then q” is called:
Answer: A
Explanation: Symbol p → q represents implication.
Explanation: Symbol p → q represents implication.
2. Implication false when:
Answer: A
3. Converse of p → q:
Answer: A
4. Contrapositive of p → q:
Answer: A
5. Inverse of p → q:
Answer: A
6. p → q equivalent to:
Answer: A
Explanation: Standard logical equivalence.
Explanation: Standard logical equivalence.
7. Logical equivalence means:
Answer: A
8. p ↔ q means:
Answer: A
9. Biconditional true when:
Answer: A
10. p ↔ q equivalent to:
Answer: A
11. If p true q true, p→q:
Answer: A
12. If p false q true, p→q:
Answer: A
13. If p false q false, p→q:
Answer: A
14. Double implication symbol:
Answer: A
15. p → q and q → p together give:
Answer: A
16. Equivalent statements have:
Answer: A
17. ¬(p→q) equals:
Answer: A
18. p→q equivalent to contrapositive:
Answer: A
19. Logical equivalence symbol:
Answer: A
20. If two statements always match truth values they are:
Answer: A
Explanation: Logical equivalence definition.
Explanation: Logical equivalence definition.
