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MathsMediumMCQ2022 · 26 Jul Shift 2

Q69.Negation of the Boolean expression 𝑝↔𝑞→𝑝 is (1) ~𝑝∧𝑞 (2) 𝑝∧~𝑞 (3) ~𝑝∨~q (4) ~𝑝∧~𝑞 Q70. 1 92 -102 112 Let 𝐴= 1 and 𝐵= 122 132 -142 , then the value of 𝐴'𝐵𝐴 is; 1 -152 162 172 (1) 1224 (2) 1042 (3) 540 (4) 539

What This Question Tests

This question tests the understanding of logical connectives, their equivalences, and how to negate complex Boolean expressions using De Morgan's laws.

Concepts Tested

Logical equivalenceConditional statementsBiconditional statementsNegation

Formulas Used

p ↔ q ≡ (p → q) ∧ (q → p)

p → q ≡ ~p ∨ q

~(A ∧ B) ≡ ~A ∨ ~B

~(A ∨ B) ≡ ~A ∧ ~B

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📋 Question Details

Chapter: Mathematical Reasoning
Topic: Boolean Algebra, Logical Connectives
Year: 2022
Shift: 26 Jul Shift 2
Q Number: Q69
Type: MCQ
NCERT Ref: Class 11 Mathematics Ch 14: Mathematical Reasoning

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