Q69.Negation of the Boolean statement (p ∨q) ⇒((~r) ∨p) is equivalent to: (1) p ∧(~q) ∧r (2) (~p) ∧(~q) ∧r (3) (~p) ∧q ∧r (4) p ∧q ∧(~r)
What This Question Tests
This question assesses the ability to find the negation of a compound Boolean statement involving implication, disjunction, and negation, using standard logical equivalences.
Concepts Tested
Formulas Used
¬(P ⇒ Q) ≡ P ∧ (¬Q)
¬(P ∨ Q) ≡ (¬P) ∧ (¬Q)
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📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Negation of compound statements
- Year
- 2022
- Shift
- 29 Jun Shift 2
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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