Form the conjunction of the statements p : 3 + 2 < 6 , q : 7 = 5 × 3 . What is its truth value?

Given, p : 3 + 2 < 6 q : 7 = 5 × 3 When two statements are joined by the connective 'and', the compound statement so formed is called the conjunction of the two statements. Therefore, p ∧ q : 3 + 1 < and 7 = 5 × 3 . The truth value of the statement p is T and q is F . We know that if p and q are two statements, then their conjunction ' p and q ' is represented by p ∧ q . The statement ' p ∧ q ' is true when both p and q are true, otherwise it is false. Therefore, p ∧ q i.e. the conjunction has the truth value F .

Construct the truth table for the statements p ∨ q ∧ r .

Given, p ∨ q ∧ r We know that if p and q are two statements, then their conjunction ' p and q ' is represented by p ∧ q . The statement ' p ∧ q ' is true when both p and q are true, otherwise it is false. We know that if p and q are two statements, then their disjunction ' p or q ' is represented by p ∨ q . The statement ' p ∨ q ' is always true except when both p and q are false. Therefore, the truth table of the given statement is shown below: T denotes true and F denotes false. p q q p ∨ q p ∨ q ∧ r T T T T T T T F T F T F T T T F T T T T F T F T F F T T T T F F T F F F F F F F

Complete the truth table based on three input 'Or' gate. A B C D True False True True True True Where, D , is the output variable

Table II : A B C D True False True True True True True True

Table I : A B C D True False True False True True True True

Table III : A B C D True False True True True True True False

Complete the truth table based on three input 'And' gate. A B C D True False True True True True Where, D , is the output variable

Table I : A B C D True False True False True True True True

Table II : A B C D True False True True True True True True

Table III : A B C D True False True False True True True False

Which one of the statements is correct for the truth table of two inputs which is shown below? A B C True True True True False True False True True False False False Where, C , is the output variable

'Or' operator is used to get the desired result.

Any boolean operator is used to get the desired result

'Not' operator is used to get the desired result

'And' operator is used to get the desired result

EASY

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Form the conjunction of the statements $p : 2 + 3 = 5$ , $q : 5$ is a positive integer. What is its truth value?

Important Questions on Mathematical Logic

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

The connective in the statement

2 + 7 > 9

2 + 7 < 9

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

The negation of the statement ''

72

is divisible by

2

and

3

'' is

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Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

The negation of the statement "For all real numbers

x

and

y, x + y = y + x

" is

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Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Form the conjunction of the statements

p : 3 + 2 < 6

q : 7 = 5 \times 3

. What is its truth value?

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Draw the truth table for 'AND' operation with two inputs.

MEDIUM

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Which one of the following truth table is correct for the 'Or' gate with two input?

MEDIUM

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Represent the union of two sets by Venn diagram for each of the following.

$X = {x | x$ is a prime number between $80$ and $100}$

$Y = {y | y$ is an odd number between $90$ and $100}$

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Construct the truth table for the statements

(p \lor q) \land r

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Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Which one of the structure is used to represent 'And' gate?

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Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Draw the truth table for 'OR' operation with two inputs.

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Write the truth table for the following given statement:

~ (P \lor Q)

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Write the truth table for the following given statement:

P \land ~ Q

MEDIUM

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Complete the truth table based on three input 'Or' gate.

$A$	$B$	$C$	$D$
True	False	True
True	True	True

Where,

$D$ , is the output variable

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Write the truth table for the following given statement:

~ (~ P) \lor Q

MEDIUM

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Complete the truth table based on three input 'And' gate.

$A$	$B$	$C$	$D$
True	False	True
True	True	True

Where,

$D$ , is the output variable

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Which one of the structures is used to represent 'Or' Gate?

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Write the truth table for the following given statement:

P \lor ~ Q

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Write the truth table for the following given statement:

~ P \lor Q

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Which one of the statements is correct for the truth table of two inputs which is shown below?

$A$	$B$	$C$
True	True	True
True	False	True
False	True	True
False	False	False

Where,

$C$ , is the output variable

EASY

Mathematics>Algebra>Mathematical Logic>Logical Connectives and Negations

Cotyledons are also called-

Form the conjunction of the statements p: 2+3=5, q: 5 is a positive integer. What is its truth value?

Important Questions on Mathematical Logic

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Form the conjunction of the statements $p : 2 + 3 = 5$ , $q : 5$ is a positive integer. What is its truth value?