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MathsEasyMCQ2022 · 29 Jul Shift 2

Q68.The statement 𝑝⇒𝑞∨𝑝⇒𝑟 is NOT equivalent to: (1) 𝑝∧~𝑟⇒𝑞 (2) ~𝑞⇒~𝑟∨𝑝 (3) 𝑝⇒𝑞∨𝑟 (4) 𝑝∧~𝑞⇒𝑟

What This Question Tests

This question requires applying basic logical equivalences, especially p ⇒ q ≡ ~p ∨ q and De Morgan's laws, to simplify and compare propositional statements.

Concepts Tested

Logical equivalenceImplicationConjunctionDisjunctionNegation

Formulas Used

p ⇒ q ≡ ~p ∨ q

De Morgan's Laws

📚 NCERT Sections This Tests

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📋 Question Details

Chapter: Mathematical Reasoning
Topic: Logical equivalence of statements
Year: 2022
Shift: 29 Jul Shift 2
Q Number: Q68
Type: MCQ
NCERT Ref: Class 11 Mathematics Ch 14: Mathematical Reasoning

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