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
Write the inverse of the converse of P q.
P q
~ P ~ q
q p
~q~p
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
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.
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
Construct a truth table for the statement PΛ~q
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
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 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
If two statements are combined by the word " and". the resulting statement is called__________
Conjunction
Disjunction
Negation
None of these
