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.
Write the inverse of the converse of P q.
P q
~ P ~ q
q p
~q~p
Construct a truth table for the statement PΛ~q
Consider the statements:
P : you will work hard, q : you will become wealthy. Translate q P into an English sentence.
If you work hard, then you will become wealthy
You will become wealthy only if you work hard.
If you will not work hard, then you will not become wealthy.
If you will not become wealthy, then you will not work hard
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
None of these
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
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 Λ - 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.
Write the converse of the contrapositive of P q.
~p ~q
~q ~p
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
