Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
Which one of the following statements has truth value F?
पर्याय
Chennai is in India or `sqrt(2)` is an integer
Chennai is in India or `sqrt(2)` is an irrational number
Chennai is in China or `sqrt(2)` is an integer
Chennai is in China or `sqrt(2)` is an irrational number
Advertisements
उत्तर
Chennai is in China or `sqrt(2)` is an integer
APPEARS IN
संबंधित प्रश्न
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
¬ P
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
P ∧ ¬q
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
p ↔ q
Determine the truth value of the following statement.
It is not true that 5 + 5 = 9 or Earth is a planet
Determine the truth value of the following statement.
11 is a prime number and all the sides of a rectangle are equal
Construct the truth table for the following statement.
¬P ∧ ¬q
Construct the truth table for the following statement.
¬(P ∧ ¬q)
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p ∧ q) ∧¬ (p v q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p → q) ↔ (¬p → q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
((p → q) ∧ (q → r)) → (p → r)
Show that (p ∧ q) ≡ ¬p v ¬q
Prove that q → p ≡ ¬p → ¬q
Show that p → q and q → p are not equivalent
Show that ¬(p ↔ q) ≡ p ↔ ¬q
Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table
Choose the correct alternative:
Which one is the contrapositive of the statement (p v q) → r?
Choose the correct alternative:
Determine the truth value of each of the following statements:
(a) 4 + 2 = 5 and 6 + 3 = 9
(b) 3 + 2 = 5 and 6 + 1 = 7
(c) 4 + 5 = 9 and 1 + 2 = 4
(d) 3 + 2 = 5 and 4 + 7 = 11
