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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

(A)

PVQ

(B)

P Q

(C)

PΛQ

(D)

P ~ Q

Question-2

If two statements are combined by the word " and". the resulting statement is called

(A)

Conjunction

(B)

Disjunction

(C)

Negation

(D)

None of these

Question-3

Write the statement ' Accountancy is a required subject for chartered Accountants (m) but not for engineers (n).

In symbolic form using the letter in parentheses to represent the corresponding component.

(A)

mΛ N

(B)

m V n

(C)

m ~ n

(D)

m Λ ~n

Question-4

Symbolise the statement " The square root of all prime numbers are irrational numbers" ( P → set of prime numbers, Q that of irrational numbers).

(A)

x Q : x = √x

(B)

x Q, x = √x

(C)

x P, √x Q

(D)

x P, √x Q.

Question-5

Write the contrapositive of the inverse of P q

(A)

pq

(B)

qp

(C)

~p~q

(D)

~q~p

Question-6

For any statements, P and q,

P q =

(A)

p V q

(B)

- p V - q

(C)

- p V q

(D)

p V - q

Question-7

Symbolize the statement ' There exist atleast one number in the set of natural number which is equation to its cube'.

(A)

x N, x = x^{3}

(B)

x N, x = x^{3}

(C)

x W, x = x^{3}

(D)

x W, x = x^{3}

Question-8

Write the converse of the contrapositive of P q.

(A)

P q

(B)

q p

(C)

~p ~q

(D)

~q ~p

Question-9

Write the converse of the statement " If you drink milk, you will be strong".

(A)

If you are strong, then you should drink milk

(B)

If you do not drink your milk, then you are not strong

(C)

If you are not strong, then you do not drink your milk.

(D)

If you are strong, then You do not drink your milk

Question-10

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?

(A)

If Ananya is not beautiful and / or not 165 tall

(B)

Only if Ananya is neither beautiful nor 165 cm tall

(C)

Only if Ananya is both beutiful and 165 cm tall

(D)

If Ananya is beutiful and /or not 165 cm tall.

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