Write the contrapositive of the inverse of P q
pq
qp
~p~q
~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.
Construct a truth table for the statement PΛ~q
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
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 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
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
If two statements are combined by the word " and". the resulting statement is called
Conjunction
Disjunction
Negation
None of these
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.
Consider the statements:
p: you will work hard, q : you will become wealthy. Translate ( ~p) ( ~q) into an English sentence.
If you work hard, then you will become wealthy
If you will become wealthy, then you will 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.
