For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
None of these
Write the converse of the statement " If you drink milk, you will be strong".
If you are strong, then you should drink 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 inverse of the converse of P q.
P q
~ P ~ q
q p
~q~p
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 contrapositive of the inverse of p q
pq
qp
~p~q
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
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.
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - 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
