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MathsEasyMCQ2014 · 11 Apr Online

Q74.The proposition ∼(p∨∼q)∨∼(p ∨q) is logically equivalent to: (1) p (2) q (3) ∼p (4) ∼q

What This Question Tests

This problem assesses the basic understanding and application of logical equivalences, particularly De Morgan's laws, to simplify a given proposition.

Concepts Tested

Logical connectives (negation, disjunction)De Morgan's lawsTruth tables/Logical equivalences

Formulas Used

~(P∨Q) ≡ ~P∧~Q

P∨~P ≡ T

P∧~P ≡ F

Absorption laws

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📋 Question Details

Chapter
Mathematical Reasoning
Topic
Logical equivalence
Year
2014
Shift
11 Apr Online
Q Number
Q74
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 14: Mathematical Reasoning

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