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The converse of ~p∧q⇒r is

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Important Questions on Mathematical Logic

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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The negation of the Boolean expression ~s∨~r∧s is equivalent to
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The contrapositive of the statement ''if I am not feeling well, then I will go to the doctor" is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
For any two statement p and q, the negative of the expression p∨~p∧q is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Let A,B,C and D be four non-empty sets. The contrapositive statement of “If A⊆B and B⊆D , then A⊆C ” is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Converse of the statement 'If x is an odd number, then x is prime' is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Negation of the statement: 5 is an integer or 5 is irrational is:
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements

Contrapositive of the statement :

'If a function f is differentiable at a, then it is also continuous at a', is

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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Consider the following statements:

P: Suman is brilliant

Q: Suman is rich

R: Suman is honest

The negation of the statement, "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The contrapositive of the statement "If it is raining, then I will not come", is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The negation of the statement “All continuous functions are differentiable”
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Prove that 6n + 13  is an odd integer, where n is an integer.
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The negation of “∀n∈N,n+7>6” is ….
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Consider the statement: "For an integer n, if n3-1 is even, then n is odd". The contrapositive statement of this statement is:
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The Boolean expression ~(p∨q)∨(~p∧q) is equivalent to
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The proposition p→~p∧~q is equivalent to :
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Mathematics>Algebra>Mathematical Logic>Negation of Statements
The contrapositive of the statement "I go to school if it does not rain" is
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Mathematics>Algebra>Mathematical Logic>Negation of Statements

Prove that the sum of three consecutive even numbers is always a multiple of 6.

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Mathematics>Algebra>Mathematical Logic>Negation of Statements
Prove that the sum of three successive even integers is always a multiple of 6.