Write down the truth bvalue of each of the following statements.
(i) Delhi is in India
(ii) Chennai is in Pakistan
(iii) 5 + 6 = 11

Find the conditional statement of 'You will get a sweet dish after the dinner'.

Rewrite the following statement with 'if-then' in five different ways conveying the same meaning 'If a natural is odd, then its square is also odd'.

Write down the compound statements by using 'and','or' of the following statements
p : It is cold 
q : It is raining

Write the negation of the following statements:
(i) Every natural number is greater than 0.
(ii) The sum of 4 and 6 is 10.
(iii) A whole number is an integer.

Find the component statements of the following compound statements and check whether they are true or false.
(i)The sun shines or it rains.
(ii)India is a democracy and a monarchy.

For each of the following compound statements first identify the connecting words and then break it into component statements.
(i) The sun is cold and the moon rotates around the earth.
(ii)The school works or a holiday is declared.
(iii) Ankita is rich or happy

State whether the 'or' used in the following statements is "exclusive" or "inclusive". Give reasons for your answer.
(i) A rectangle is a quadrilateral or a pentagon.
(ii)A square is a polygon or a parallelogram.

Write each of the following statements in the form "if-then"
(i) You earn a living implies you work.
(ii) A number is even only if it is a multiple of 2.
(iii) To pass in examination it is necessary that you work hard.

Write the contrapositive and converse of the following statements.
(i) If you were born in India, then you are a citizen of India.
(ii) If a triangle is equilateral then it is isosceles.
(iii) If x is an even number then x is divisible by 4

Check the validity of the following statements
(i) 100 is a multiple of 2 and 5.
(ii) Square of an integer is positive or negative.

Write the negation of the following statements:
(i) p: For every positive real number x, the number x - 1 is also positive.
(ii) q: All cats scratch.
(iii) r: For every real number x, either x > 1 or x < 1.
(iv) s: There exists a number x such that 0 < x

Write each of the statements in the form "if p then q"
(i) p: It is necessary to have a password to log on to the server.
(ii) q: There is traffic Jam whenever it rains.
(iii) r: You can access the website only if you pay a subscription fee.

Rewrite each of the following statements in the form "p if and only if q"
(i) p: If you watch television, then your mind is free and if your mind is free, then you watch television.
(ii) q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
(iii) r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Given below are two statements
p: 25 is a multiple of 5
q: 25 is a multiple of 8
Write the compound statements connecting these two statements with "and" and "or". In both cases check the validity of the compound statement.