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 " 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
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
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.
If two statements are combined by the word " and". the resulting statement is called
Conjunction
Disjunction
Negation
Write the inverse of the converse of P q.
P q
~ P ~ q
q p
~q~p
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.
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.
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
For any statements, P and q,
P q =
- p V - q
- p V q
p V - q
