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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
Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.
Construct the truth table of the following statement pattern.
(p ∧ q) ↔ (q ∨ r)
Construct the truth table of the following statement pattern.
∼ p ∧ [(p ∨ ∼ q) ∧ q]
Construct the truth table of the following:
[(∼p ∨ q) ∧ (q → r)] → (p → r)
Determine the truth values of p and q in the following case:
(p ∧ q) is F and (p ∧ q) → q is T
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.
It is false that Nagpur is capital of Maharashtra
Write the negation of the following statement.
2 + 3 ≠ 5
Find the truth value of the following statement.
Every accountant is free to apply his own accounting rules if and only if machinery is an asset.
If p and q are true and r and s are false, find the truth value of the following compound statement.
p ∧ (q ∧ r)
If p and q are true and r and s are false, find the truth value of the following compound statement.
~ [p ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]
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.
The necessary condition for existence of a tangent to the curve of the function is continuity.
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.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
If proof is lengthy then it is interesting.
Write the negation of the following.
An angle is a right angle if and only if it is of measure 90°.
Rewrite the following statement without using the connective ‘If ... then’.
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Write the negation of the following statement.
∃ x ∈ A, such that x + 5 < 11.
The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.
Write the following compound statements symbolically.
Triangle is equilateral or isosceles
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.
The statement, 'If I go to school, then I will get knowledge' is equivalent to ______
Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."
Write the following statement in symbolic form.
It is not true that `sqrt(2)` is a rational number.
The statement ∼(p ↔ ∼q) is ______.
Express the following compound statement symbolically:
3 + 8 ≥ 12 if and only if 5 × 4 ≤ 25
Write the contrapositive of the inverse of the statement:
‘If two numbers are not equal, then their squares are not equal’.
