Some triangles are not isosceles. Identify the Venn diagram
~ ( p q) (~ p Λ q) is logically equivalent to
~ p
p
q
~ q
H : Set of holidays, S : Set of Sundays and U : Set of days.
Then, the Venn diagram of statement, ' Every Sunday implies holiday ' is
Simplify the following circuit and find the boolean polynomial.
p ( q Λ r)
p Λ ( q r)
p ( q r)
p Λ ( q Λ r )
The negation of the proposition " If 2 is prime, then 3 is odd " is
if 2 is not prime, then 3 is not odd
2 is prime and 3 is not odd
2 is not prime and 3 is odd
if 2 is not prime, then 3 is odd
If ( p Λ ~ r ) → ( ~ p q ) is false, then the truth values of p , q and r respectively
T, F and F
F , F and T
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)
The contrapositive of ( p q) → r is
~ r → ( p q)
r → ( p q )
~ r → ( ~ p Λ ~ q)
p→ ( q r )
Let S be a non-empty subset of R. Consider the following statement
P : There is a rational number x S such that x > o.
Which of the following statements in the negation of the statement P
There is a rational number x S such that x ≤ o
There is no rational number x S such that x ≤ o
Every rational number x S satisfies x ≤ o
x S and x ≤ o x is not rational
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))
