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
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
p: you will work hard, q : you will become wealthy. Translate ( ~p) ( ~q) into an English sentence.
If you will become wealthy, then you will work hard
If you will not become wealthy, then you will not work hard.
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.
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
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
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
If two statements are combined by the word " and". the resulting statement is called
Conjunction
Disjunction
Negation
Construct a truth table for the statement PΛ~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.
