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MathsEasyMCQ2019 ยท 10 Apr Shift 2

Q74.The negation of the Boolean expression ~๐‘ โˆจ~๐‘Ÿโˆง๐‘  is equivalent to (1) ๐‘Ÿ (2) ๐‘ โˆง๐‘Ÿ (3) ๐‘ โˆจ๐‘Ÿ (4) ~๐‘ โˆง~๐‘Ÿ

What This Question Tests

This question tests the understanding of basic logical connectives and De Morgan's laws to find the negation and simplification of a given Boolean expression.

Concepts Tested

Logical connectives (OR, AND, NOT)De Morgan's LawsTruth tables (if needed)

Formulas Used

~(A โˆจ B) = ~A โˆง ~B

~(A โˆง B) = ~A โˆจ ~B

A โˆง (~A โˆจ B) = (A โˆง ~A) โˆจ (A โˆง B) = F โˆจ (A โˆง B) = A โˆง B

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๐Ÿ“‹ Question Details

Chapter
Mathematical Reasoning
Topic
Boolean Algebra and Negation
Year
2019
Shift
10 Apr Shift 2
Q Number
Q74
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 14: Mathematical Reasoning

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