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Let p and q be two propositions given by P : The sky is blue, q : Milk is white, Then , p^q is
p∧q means statement p and q
=> The sky is blue and milk is white.
Let p and q be two prepositions given by p : I play cricket during the holidays, q : I just sleep throughout the day then , the compound statement p ∧ q is
∧ is replaced by and in verbal form
Let p and q be two prepositions given by p : It is hot, q : He wants water Then , the verbal meaning of p → q is
Let p and q be two prepositions given by p : I take medicine, q : I can sleep then ,the compound statement ∼p→∼q means
Which of the following is true for the propositions p and q ?
Compound statement is connected with And , or , etc.
So, the statement 7 is both odd and prime number is a compound statement.
For any three propositions p, q, and r, the proposition (p∧q)∧(q∧r) is true, when
The negation of the proposition “if a quadrilateral is a square, then it is a rhombus “ is
The contrapositive of the statement “ if 2^{2} = 5, then I get first class” is
If x = 5 and y =  2, then x – 2y = 9. The contrapositive of this proposition is
Let p,q and r be three propositions given by
p:x=5; q:y=−2 and r:x−2y=9
Then, the given statement is (p∧q)→r
Its contrapositive is
Let p and q be two propositions. Then, the contrapositive of the implication p→q is
Which of the following statement is a tautology ?
Logical equivalent proposition to the proposition ∼(p∨q) is
Let p and q be two propositions. Then the implication p↔∼q is true ,when
Correct Answer : c
Explanation: (p↔∼q) will be true
if both p and ∼q are true ⟹p is true and q is false
Or if both p and ∼q are true ⟹p is false and q is true
Consider the proposition: “If we control population growth, we prosper “. Negative of this proposition is
Consider the proposition: “If the pressure increases, the volume decreases “. Negative of this proposition is
Which of the following connectives satisfy commutative law ?
Which of the following pairs is logically equivalent ?
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