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प्रश्न
Write the negation of the following statement.
All men are animals.
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उत्तर
Some men are not animals.
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संबंधित प्रश्न
Using truth table prove that p ↔ q = (p ∧ q) ∨ (~p ∧ ~q).
Construct the truth table of the following statement pattern.
(p ∧ q) ↔ (q ∨ r)
If p ∧ q is false and p ∨ q is true, then ______ is not true.
Construct the truth table of the following:
(∼p ∨ ∼q) ↔ [∼(p ∧ q)]
Express the following statement in symbolic form.
Milk is white or grass is green.
Express the following statement in symbolic form.
I like playing but not singing.
Write the truth value of the following statement.
16 is an even number and 8 is a perfect square.
Write the truth value of the following statement.
The Himalayas are the highest mountains but they are part of India in the North East.
Write the negation of the following statement.
− 3 is a natural number.
Write the negation of the following statement.
It is false that Nagpur is capital of Maharashtra
Find the truth value of the following statement.
It is not true that 3 − 7i is a real number.
Find the truth value of the following statement.
Neither 27 is a prime number nor divisible by 4.
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.
Fill in the blanks :
Conjunction of two statement p and q is symbolically written as ______.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
Mona likes Mathematics and Physics.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
Proof is lengthy and it is not interesting.
Write the negation of the following.
If ∆ABC is not equilateral, then it is not equiangular.
Write the negation of the following statement.
10 > 5 and 3 < 8
Find the negation of 10 + 20 = 30
Write the following statement in symbolic form:
Milk is white if and only if the sky is not blue.
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.
Which of the following is false?
The negation of (p ∨ ∼q) ∧ q is ______
Which of the following is NOT true for p → q.
The inverse of the statement "If its quality is good. then it is expensive.", is ______
Let p, q and r be any three logical statements. Which of the following is true?
Using truth table prove that:
~ (p `leftrightarrow` q) ≡ (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
