Advertisements
Advertisements
प्रश्न
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 not holiday or Ram studies on holiday.
Advertisements
उत्तर
Symbolic form of the given statement is ~ p ∨~q
∴ ~ p ∨~ q ≡ ~ T ∨ ~ T
≡ F ∨ F
≡ F
Hence, truth value is F.
APPEARS IN
संबंधित प्रश्न
Write the following compound statement symbolically.
x is not irrational number but is a square of an integer.
Construct the truth table of the following statement pattern.
(q → p) ∨ (∼ p ↔ q)
Construct the truth table of the following:
p → (q → p)
Construct the truth table of the following:
(∼p ∨ ∼q) ↔ [∼(p ∧ 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 T and (p ∧ q) is T
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 truth value of the negation of the following statement.
`sqrt5` is an irrational number.
Write the truth value of the negation of the following statement.
London is in England.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
x3 + y3 = (x + y)3 if xy = 0.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
Proof is lengthy and it is not interesting.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
It is not true that the proof is lengthy but it is 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
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
Write the negation of the following.
Kanchanganga is in India and Everest is in Nepal.
Write the negation of the following statement.
7 is prime number and Tajmahal is in Agra.
Write the negation of the following statement.
I will have tea or coffee.
Find the negation of 10 + 20 = 30
Write the following compound statements symbolically.
Triangle is equilateral or isosceles
Without using truth table prove that:
~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
State whether the following statement is True or False:
The converse of inverse of ~ p → q is q → ~ p
The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)
If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______
The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______
