Q73.Which one of the following Boolean expression is a tautology? (1) (p ∨q) ∧(~p ∨~q) (2) (p ∧q) ∨(p ∧~q) (3) (p ∨q) ∧(p ∨~q) (4) (p ∨q) ∨(~p ∨~q)
What This Question Tests
This is a direct application of the definition of a tautology, requiring knowledge of basic logical connectives and either truth tables or logical equivalences to identify the expression that is always true.
Concepts Tested
Formulas Used
p ∨ q
p ∧ q
~p
📚 NCERT Sections This Tests
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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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
- Tautology
- Year
- 2019
- Shift
- 10 Apr Shift 1
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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