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
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
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
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
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
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 " 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.
Symbolize the statement ' There exist atleast one number in the set of natural number which is equation to its cube'.
x N, x = x3
x W, x = x3
