If two statements are combined by the word " and". the resulting statement is called__________
Conjunction
Disjunction
Negation
None of these
Construct a truth table for the statement PΛ~q
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
Write the contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
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
Let P be " Ananya is neutiful", and q be " Ananya is 165 cms tall" under what conditions is the statement, " Ananya is beautiful or 165 cms tall". false?
If Ananya is not beautiful and / or not 165 tall
Only if Ananya is neither beutigul not 165 cm tall
Only if Ananya is both beutiful and 165 cm tall
If Ananya is beutiful and /or not 165 cm tall.
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
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
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