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
Write the converse of the contrapositive of P q.
P q
q p
~p ~q
~q ~p
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
Let P be " Ananya is neutiful", and q be " Ananya is 165 cms tall" under what conditions is the statement, " Ananya is beautiful and 165 cms tall". true?
If Ananya is not beautiful and/or not 165 cm tall.
Only if Ananya is neither beautiful nor 165 cm tall.
Only if Ananya is both beautiful and 165 cm tall
If Ananya is beutiful and/or not 165 cm tall.
Write the contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
Construct a truth table for the statement PΛ~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 inverse of the converse of P q.
~ P ~ q
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