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.
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
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 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
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 contrapositive of the inverse of P q
pq
qp
~p~q
~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
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
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive