The contrapositive of " If two triangles are identical, then these are similar " is
If two triangles are not similar, then these are not identical
If two triangles are not identical, then these are not similar
If two triangles are not identical, then these are similar
If two triangles are not similar, then these are identical
The sentence '2 is an even integer', is
Statement
Command
Question
Paradox
Let p be the statement 'Ravi races' and let q be the statement 'Ravi wins'. Then, the verbal translation of ~ ( p ( ~ q)) is
Ravi does not race and Ravi does not win
It is not true that Ravi races and that Ravi does not win
Ravi does not race and Ravi wins
It is not true that Ravi races or that Ravi does not win
The statement ~ ( p → q ) is equivalent to
p Λ ( ~ q)
~ p Λ q
p Λ q
~ p Λ ~ q
For any two statements p and q, ~ ( p q ) ( ~ p Λ q) is logically equivalent to
p
~ p
q
~ q
( p Λ ~q)Λ ( ~ p Λ q) is
a tautology
a contradiction
tautology and contradiction
neither a tautology nor a contradiction
The dual of the statement [ p ( ~ q ) ] Λ ( ~ p ) is
p ( ~ q) ~ p
( p Λ ~ q ) ~ p
p Λ ~ ( q ~ p)
None of these
Some triangles are not isosceles. Identify the Venn diagram
~ ( ~ p → q) ≡
p Λ ~ q
~ p ~ q
If p , q and r are simple propositions with truth values T, F, T, then the truth value of ( ~ p q) Λ ~ q → p is
true
false
true, if r is false