Symbolise the statement ' There exist atleast one number in the set of natural number which is equation to its cube'.
x N, x = x3
x W, x = x3
Write the inverse of the converse of P q.
P q
~ P ~ q
q p
~q~p
Let P be " Ananya is neutiful", and q be " Ananya is 165 cms tall" under what conditions is the statement, " Ananya is beautiful or 165 cms tall". false?
If Ananya is not beautiful and / or not 165 tall
Only if Ananya is neither beutigul not 165 cm tall
Only if Ananya is both beutiful and 165 cm tall
If Ananya is beutiful and /or not 165 cm tall.
Write the converse of the contrapositive of P q.
~p ~q
~q ~p
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
Identify the quantifier in the statement " There exists a capital city for every state of India"
There exists
For every
Both a and b
None of these
Symbolise the statement " The square root of all prime numbers are irrational numbers" ( P → set of prime numbers, Q that of irrational numbers).
x Q : x = √x
x Q, x = √x
x P, √x Q
x P, √x Q.
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
Write the contrapositive of the inverse of P q
pq
qp
~p~q
Let P be " shruti can type", and let q be " Shruti takes short hand". Write the statement Shruti can type and take shorthand in sybolic form.
PΛ q
~ (p V q)
- P Λ - q
