MEDIUM
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Which of the following statements is disjunction?

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Important Questions on Mathematical Logic

EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement ''72 is divisible by 2 and 3'' is
MEDIUM
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The proposition p→~p∧~q is equivalent to :
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement "For all real numbers x and y,x+y=y+x" is
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following:
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the Boolean expression ~s∨~r∧s is equivalent to
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Which of the following is the negation of the statement "for all M>0, there exists x∈S such that x≥M''?
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The Boolean expression ~(p∨q)∨(~p∧q) is equivalent to
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the Boolean expression ~q∧p⇒~p∨q is logically equivalent to
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of “∀n∈N,n+7>6” is ….
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Negation of the statement: 5 is an integer or 5 is irrational is:
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The compound statement ~C∧A∧B∨~C∧~A∧B∨C∧B is equivalent to
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The Boolean expression ~p∨q∨~p∧q is equivalent to
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Write the negation of the statement mangoes are delicious, but expensive.
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement ~p∧p∨q is:
MEDIUM
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table

Show that (p ∧ q) → (p ∨ q) is a tautology.

HARD
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
Negation of the Boolean expression p↔q→p is
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table

Consider the following statements:
A: Rishi is a judge.
B: Rishi is honest.
C: Rishi is not arrogant.

The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is

EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The negation of the statement “All continuous functions are differentiable”
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
For any two statement p and q, the negative of the expression p∨~p∧q is
EASY
Mathematics>Algebra>Mathematical Logic>Logic Connectives, Compound Statement, Truth Table
The proposition ~p∨p∧~q is equivalent to