Long Answer TypeWhich 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.
Short Answer TypeGive three examples of sentences which are not statements. Give reasons for the answers.
Long Answer TypeCheck 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?
(i) Statement.
Reason : This sentence is false because 8 is greater than 6.
(ii) Statement.
Reason : This sentence is false because there are sets which are not finite e.g., N.
(iii) Statement.
Reason : It is a scientifically established fact that sun is a star, so, the sentence is always true.
(iv) Not a statement.
Reason : This sentence is subjective in the sense that for those who like Mathematics, it may be fun but for others it may not be. So, this sentence is not always true.
(v) Statement.
Reason : It is a scientifically established natural phenomenon that cloud is formed before it rains, so, the sentence is always true.
(vi) Not a statement.
Reason : It is a question which also contains the word ‘Here’.
is a rational number. (iv) How beautiful!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.
Short Answer Type
Switch
is not a complex number.
