Q74.The Boolean expression ~(p ∨q) ∨(~p ∧q) is equivalent to (1) ~q (2) ~p (3) p (4) q
What This Question Tests
This question tests the fundamental knowledge of Boolean algebra and logical equivalences, particularly De Morgan's laws and the absorption law, to simplify a given expression.
Concepts Tested
Formulas Used
~(p ∨ q) ≡ ~p ∧ ~q
~p ∨ (~p ∧ q) ≡ ~p
Distributive law p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)
📚 NCERT Sections This Tests
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14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
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📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Logical equivalences
- Year
- 2018
- Shift
- 08 Apr
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 14: Mathematical Reasoning
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