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 wil not become wealthy.
If you will not become wealthy, then you will not work hard
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 converse of the contrapositive of P q.
P q
q p
~p ~q
~q ~p
Write the contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
Symbolise 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
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
If two statements are combined by the word " and". the resulting statement is called__________
Conjunction
Disjunction
Negation
None of these
Write the statement ' Accountancy is a required subject for chartered Accountants (m) but not for engineers (n).
In symbolic form using the leter in parentheses to represent the corresponding component.
mΛ N
m V n
m ~ n
m Λ ~n
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
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.
