Which of the following sentences are statements? Give reasons for your answer.

(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.

Give three examples of sentences which are not statements. Give reasons for the answers.

Check whether the following sentences are statements. Give reason for your answer.

(i) 8 is less than 6.                                          (ii) Every set is a finite set. 

(iii) The sun is a star.                                      (iv) Mathematics is fun. 

(v) There is no rain without clouds,                   (vi) How far is Chennai from here? 

Classify the following as statements and non-statements.

(i) Have you ever seen the Taj Mahal?                              (ii) Stop!

(iii) Every relation is a function.                                        (iv) 3 plus 3 is 9.

(v) Moon revolves around the Earth.                                 (vi) Switch on the light.

6. Write the negation of the following statement:
Chennai is the capital of Tamil Nadu.