Construct a truth table for the statement PΛ~q
Write the statement. This is April (P) and income tax returns must be filed ( q) in symbolic form using the letter in
parentheses to represent the corresponding component
PVQ
P Q
PΛQ
P ~ Q
Write the contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
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 V q)
- P Λ - q
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
Let P be " Shruti can type", and let q be " Shruti takes short hand". Write the statement ' Shruti can never type nor take short hand' in symbolic form.
pV q
PΛ~q
~PΛq
~ P Λ ~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
Write the converse of the contrapositive of P q.
P q
q p
~p ~q
~q ~p
Let P be " Ananya is beautiful", 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 beautiful nor 165 cm tall
Only if Ananya is both beutiful and 165 cm tall
If Ananya is beutiful and /or not 165 cm tall.
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
