Q75.The logical statement [~(~p ∨q) ∨(p ∧r)] ∧(~q ∧r) is equivalent to (1) (~p ∧~q) ∧r (2) (p ∧r) ∧~q (3) (p ∧~q) ∨r (4) ~p ∨r
What This Question Tests
This question assesses the ability to simplify a complex logical statement using fundamental laws of propositional logic such as De Morgan's laws and distributive laws to find its equivalent form.
Concepts Tested
Formulas Used
~(~p) = p
~(p ∨ q) = ~p ∧ ~q
~(p ∧ q) = ~p ∨ ~q
p ∧ (q ∨ r) = (p ∧ q) ∨ (p ∧ r)
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📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Logical equivalence, Boolean algebra
- Year
- 2019
- Shift
- 09 Jan Shift 2
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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