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MathsMediumMCQ2023 Β· 30 Jan Shift 1

Q69.Among the statements: 𝑆1: π‘βˆ¨π‘žβ‡’π‘Ÿβ‡”π‘β‡’π‘Ÿ 𝑆2: π‘βˆ¨π‘žβ‡’π‘Ÿβ‡”π‘β‡’π‘Ÿβˆ¨π‘žβ‡’π‘Ÿ (1) Only ( 𝑆1 ) is a tautology (2) Neither ( 𝑆1 ) nor ( 𝑆2 ) is a tautology (3) Only ( 𝑆2 ) is a tautology (4) Both ( 𝑆1 ) and ( 𝑆2 ) are tautologies

What This Question Tests

This question requires checking if given compound statements are tautologies by using logical equivalences or constructing truth tables.

Concepts Tested

Logical connectivesConditional statementsTautology

Formulas Used

p -> q <=> ~p v q

p v (q ^ r) <=> (p v q) ^ (p v r)

πŸ“š 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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πŸ“‹ Question Details

Chapter
Mathematical Reasoning
Topic
Tautology and logical equivalences
Year
2023
Shift
30 Jan Shift 1
Q Number
Q69
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 14: Mathematical Reasoning

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