For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
None of these
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
Consider the statements:
P: you will work hard, q : you will become wealthy. Translate ( ~P) ( ~q) 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 will not become wealthy.
If you will not become wealthy, then you will not work hard.
If two statements are combined by the word " and". the resulting statement is called__________
Conjunction
Disjunction
Negation
For any statements, P and q,
P q =
- p V - q
- p V q
p V - q
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
Identify the quantifier in the statement " There exists a capital city for every state of India"
There exists
For every
Both a and b
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
P : you will work hard, q : you will become wealthy. Translate q P into an English sentence.
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
