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प्रश्न
Negation of p → (p ˅ ∼ q) is ______
विकल्प
∼ p → (∼ p ˅ q)
p ˄ (∼ p ˄ q)
∼ p ˅ (∼ p ˅ ∼ q)
∼ p → (∼ p → q)
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उत्तर
Negation of p → (p ˅ ∼ q) is p ˄ (∼ p ˄ q)
संबंधित प्रश्न
Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency.
[~(~p ∧ ~q)] v q
Write the following compound statement symbolically.
Hima Das wins gold medal if and only if she runs fast.
Construct the truth table of the following statement pattern.
∼ p ∧ [(p ∨ ∼ q) ∧ q]
Construct the truth table of the following statement pattern.
(q → p) ∨ (∼ p ↔ q)
Construct the truth table of the following:
∼ (∼p ∧ ∼q) ∨ q
Express the following statement in symbolic form.
Even though it is cloudy, it is still raining.
Write the negation of the following statement.
It is false that Nagpur is capital of Maharashtra
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It is not true that 3 − 7i is a real number.
If p and q are true and r and s are false, find the truth value of the following compound statement.
(p → q) ↔ ~(p ∨ q)
Assuming that the following statement is true,
p : Sunday is holiday,
q : Ram does not study on holiday,
find the truth values of the following statements.
Sunday is a holiday and Ram studies on holiday.
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement:
p ↔ ~ q
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
q ∧ ~ p
Fill in the blanks :
Conjunction of two statement p and q is symbolically written as ______.
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Assuming the first statement p and second as q. Write the following statement in symbolic form.
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Assuming the first statement p and second as q. Write the following statement in symbolic form.
Kavita is brilliant and brave.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
If Kiran drives the car, then Sameer will walk.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
Even though it is not cloudy, it is still raining.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
It is not true that intelligent persons are neither polite nor helpful.
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If the question paper is not easy then we shall not pass.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
Proof is lengthy and it is not interesting.
Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
p→(q ∨ r)
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q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
p → q
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Write the following statement in symbolic form:
Milk is white if and only if the sky is not blue.
Without using truth table show that -
(p ˅ q) ˄ (∼p v ∼q) ≡ (p ∧ ∼q) ˄ (∼p ∧ q)
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
Choose the correct alternative:
A biconditional statement is the conjunction of two ______ statements
If q: There are clouds in the sky then p: it is raining. The symbolic form is ______
Which of the following is false?
Which of the following is NOT true for p → q.
The statement, 'If I go to school, then I will get knowledge' is equivalent to ______
The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______
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Write the following statement in symbolic form.
4 is an odd number if 3 is not a prime factor of 6.
The statement ∼(p ↔ ∼q) is ______.
Construct the truth table for the statement pattern:
[(p → q) ∧ q] → p
Let p: I am brave.
q: I will climb the Mount Everest.
The symbolic form of a statement,
‘I am neither brave nor I will climb the mount Everest’ is
