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प्रश्न
Fill in the blanks :
Conjunction of two statement p and q is symbolically written as ______.
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उत्तर
Conjunction of two statement p and q is symbolically written as p ∧ q.
संबंधित प्रश्न
Using truth table prove that p ↔ q = (p ∧ q) ∨ (~p ∧ ~q).
Write the following compound statement symbolically.
Angle is neither acute nor obtuse.
Construct the truth table of the following statement pattern.
[(p → q) ∧ q] → p
Construct the truth table of the following statement pattern.
[p → (q → r)] ↔ [(p ∧ q) → r]
Express the following statement in symbolic form.
e is a vowel or 2 + 3 = 5
Write the truth value of the following statement.
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Write the following statement in symbolic form.
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~ [(~ p ∨ s) ∧ (~ q ∧ r)]
If p and q are true and r and s are false, find the truth value of the following compound statement.
[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]
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The negation of 10 + 20 = 30 is, it is false that 10 + 20 ≠ 30.
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.
To be brave is necessary and sufficient condition to climb the Mount Everest.
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q : It is interesting.
Express the following statement in symbolic form.
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Write the verbal statement of the following.
∼ p ∨ q
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(Hint : p → q ≡ ∼ p ∨ q)
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If 10 − 3 = 7 then 10 × 3 ≠ 30.
Consider the following statements.
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- If D is very good, then D is dog.
- If D is not very good, then D is not a dog.
- If D is not a dog, then D is not very good.
Identify the pairs of statements having the same meaning. Justify.
Write the negation of the following statement.
7 is prime number and Tajmahal is in Agra.
Without using truth table prove that:
~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p
Negation of “Some men are animal” is ______.
The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)

The negation of ∼s ∨ (∼r ∧ s) is equivalent to ______
The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______
Converse of the statement q `rightarrow` p is ______.
Write the following statement in symbolic form.
It is not true that `sqrt(2)` is a rational number.
Write the contrapositive of the inverse of the statement:
‘If two numbers are not equal, then their squares are not equal’.
Write the negation of p ↔ q.
