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
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.
Write the converse of the contrapositive of P q.
P q
q p
~p ~q
~q ~p
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
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
If two statements are combined by the word " and". the resulting statement is called__________
Conjunction
Disjunction
Negation
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.
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 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
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.
