Advertisements
Advertisements
Question
State whether the following statement is True or False:
(p ˅ q) ˄ ~ p is a contradiction
Options
True
False
Solution
False
APPEARS IN
RELATED QUESTIONS
Write truth values of the following statements :`sqrt5` is an irrational number but 3 +`sqrt 5` is a complex number.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
All real numbers are whole numbers.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
India is a country and Himalayas is a river.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Please grant me a loan.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
The number of arrangements of 7 girls in a row for a photograph is 7!.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Bring the motor car here.
Choose the correct alternative :
The statement (∼ p ∧ q) ∨∼ q is
Choose the correct alternative :
Conditional p → q is equivalent to
Fill in the blanks :
Let p : the problem is easy. r : It is not challenging then verbal form of ∼ p → r is –––––––––.
State whether the following statement is True or False :
There are 24 months in year is a statement.
Solve the following :
State which of the following sentences are statements in logic.
How beautiful the flower is!
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
If stock prices are high then stocks are not rising.
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∃ x ∈ A, such that 3x + 2 > 9
If p is any statement then ( p ˅ ∼ p) is a
Choose the correct alternative :
Which of the following is not a statement?
Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p
Let a: ~ (p ∧ ~ r) v (~ q v s) and
b: (p v s) ↔ (q ∧ r).
If the truth values of p and q are true and that of rands are false, then the truth values of a and bare respectively.
If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.
lf p, q are true statements and r, s are false statements, then find the truth value of ∼ (p ∧ ∼r) ∨ (∼q ∨ s).
