Advertisements
Advertisements
प्रश्न
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are high or stocks are not rising iff stocks are rising.
Advertisements
उत्तर
The symbolic form of the given statement is (p ∨ ~q) ↔ q.
∴ (p ∨ ~q) ↔ q ≡ (T ∨ ~T) ↔ T
≡ (T ∨ F) ↔ T
≡ T ↔ T
≡ T
Hence, truth value is T.
APPEARS IN
संबंधित प्रश्न
Using truth table, prove that ~ p ∧ q ≡ (p ∨ q) ∧ ~ p
Construct the truth table of the following statement pattern.
p → [∼ (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) ∨ r] ∧ [∼r ∨ (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) → q is F
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 following statement in symbolic form.
Stock prices are high if and only if stocks are rising.
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.
Find the truth value of the following statement.
Neither 27 is a prime number nor divisible by 4.
Find the truth value of the following statement.
3 is a prime number and an odd number.
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 → q) ∨ (r ∧ s)
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]
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
~ (p ∨ q)
Assuming the first statement p and second as q. Write the following statement in symbolic form.
Kavita is brilliant and brave.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
If the question paper is not easy then we shall not pass.
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
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 statement.
I will have tea or coffee.
If p → q is an implication, then the implication ∼ q → ∼ p is called its
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
Negation of “Some men are animal” is ______.
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively
The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)
Express the following compound statement symbolically:
3 + 8 ≥ 12 if and only if 5 × 4 ≤ 25
Using truth table prove that:
~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)
