A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
Write the inverse of the converse of P q.
P q
~ P ~ q
q p
~q~p
Write the converse of the statement " If you drink milk, you will be strong".
If you are strong, then you drink your milk
If you do not drink your milk, then you are not strong
If you are not strong, then you do not drink your milk.
If you are strong, then You do not drink your milk
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
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
Consider the statements:
P : you will work hard, q : you will become wealthy. Translate q P into an English sentence.
If you work hard, then you will become wealthy
If you will become wealthy, then you will work hard.
If you will not work hard, then you wil not become wealthy.
If you will not become wealthy, then you will not work hard
Write the statement ' According is a required subject for characred Accountants (m) but not for engineers (n). in symbolic form using the leter in parentheses to represent the corresponding component.
mΛ N
m V n
m ~ n
m Λ ~n
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
Write the converse of the contrapositive of P q.
~p ~q
~q ~p
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
