~ [( p Λ q) → ( ~ p q) ] is
tautology
contradiction
neither ( a) nor ( b)
either (a) or (b)
~ ( ~ p → q) ≡
p Λ ~ q
~ p Λ q
~ p Λ ~ q
~ p ~ q
Negation of the conditional, " If it rains, I shall go to school" is
It rains and I shall go to school
It rains and I shall not go to school
It does not rains and I shall go to school
None of the above
The negation of the statement " he is rich and happy " is given by
he is not rich and not happy
he is not rich or not happy
he is rich and happy
he is not rich and happy
If p : 4 is an even prime number , q : 6 is a divisor of 12 and r : the HCF of 4 and 6 is 2 , then which one of the following is true ?
( p Λ q)
( p q ) Λ ~ r
~ ( q Λ r ) p
~ p ( q Λ r)
~ p Λ q is logically equivalent to
p → q
q → p
~ ( p → q)
~ ( q → p)
H : Set of holidays, S : Set of Sundays and U : Set of days.
Then, the Venn diagram of statement, ' Every Sunday implies holiday ' is
Which of the following statements is a tautology?
( ~ q Λ p ) Λ q
( ~ q Λ p ) Λ ( p Λ ~ p)
( ~ q Λ p ) ( p ~ p)
( p Λ q) Λ ( ~ (p Λq))
Some triangles are not isosceles. Identify the Venn diagram
Simplify ( p q) Λ ( p ~ q)
P
T
F
q
