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Class 11
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Applied Mathematics
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Mathematical and logical reasoning
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Mathematically accepted statements
Mathematically accepted statements
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Logical Connectives and their Truth Tables
Example
Definitions
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Mathematical Statement
Example
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Formulaes
Introduction to Conditional Statements
Example
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Formulaes
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Compound Statements Connected with 'and' or 'or'
9 mins
Use Quantifiers to Represent Mathematical Statements
9 mins
Truth Tables and Negation
9 mins
Quick Summary With Stories
Statements In Mathematical Logic-I
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Use Quantifiers to Represent Mathematical Statements
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Truth Tables, Its Types and Negation
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Important Questions
The negation of the statement
$(p→q)∧r$
is
Easy
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>
Without using truth table show that
$∼(p∨q)∨(∼p∧q)≡∼p$
Easy
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>
Write the negations of the following statements:
(a) All students of this college live in the hostel.
(b)
$6$
is an even number or
$36$
is a perfect square.
Hard
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>
Using truth table verify that
$∼(p∨q)≡∼p∧∼q$
Medium
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>
Mary is taller than Eddy. Eddy is not as tall as Carol.Carol is taller than Mary. If the first two statements are true, the third statement is:
Easy
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>
The negation of
$p∧(q→r)$
is
Medium
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>
Which of the following is not a statement?
Easy
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>
The converse of the contrapositive of the conditional
$p→∼q$
is :
Easy
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>
Convert the following equation in statement form
(i)
$x−5=9$
(ii)
$5p=20$
(iii)
$3n+7=1$
Easy
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>
Write the truth values of the following statements:
(i)
$2$
is a rational number and
$2 $
is an irrational number.
(ii)
$2+3=5$
or
$2 +3 =5 $
Easy
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>