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MathsEasyMCQ2016 · 03 Apr

Q75.The Boolean Expression (p∧∼q) ∨q ∨(∼p ∧q) is equivalent to (1) p ∨q (2) p ∨∼q (3) ∼p ∧q (4) p ∧q

What This Question Tests

This question assesses the ability to simplify a given Boolean expression using logical equivalences or by constructing a truth table.

Concepts Tested

Logical connectives (AND, OR, NOT)Truth tablesLogical equivalences (Distributive, De Morgan's, Complement laws)

Formulas Used

p ∨ (p ∧ q) = p

p ∨ (∼p ∧ q) = p ∨ q

p ∧ (∼p ∨ q) = p ∧ q

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📋 Question Details

Chapter
Mathematical Reasoning
Topic
Boolean algebra and logical equivalence
Year
2016
Shift
03 Apr
Q Number
Q75
Type
MCQ
NCERT Ref
Class 12 Mathematics Ch 14: Mathematical Reasoning

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