Let P be " Ananya is beautiful", and q be " Ananya is 165 cm 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 beautiful and/or not 165 cm tall.
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.
Write the statement ' Accountancy is a required subject for chartered Accountants (m) but not for engineers (n).
In symbolic form using the letter in parentheses to represent the corresponding component.
mΛ N
m V n
m ~ n
m Λ ~n
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
Let P be " Ananya is beautiful", 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 beautiful nor 165 cm tall
Only if Ananya is both beutiful and 165 cm tall
If Ananya is beutiful and /or not 165 cm tall.
Let P be " Shruti can type", and let q be " Shruti takes short hand". Write the statement Shruti can type and take shorthand in symbolic form.
PΛ q
p V q
~ (p V q)
- P Λ - 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
None of these
Write the contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
Write the statement. This is April (P) and income tax returns must be filed ( q) in symbolic form using the letter in
parentheses to represent the corresponding component
PVQ
P Q
PΛQ
P ~ Q
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
