Question

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

(i) Two plus two equals four. 

(ii) The sum of two equals four 

(iii) All prime numbers are add numbers 

(iv) The sum of x and y is greater than zero 

(v) How beautiful? 

(vi) Open the door. 

(vii) Where are you going? 

(viii) Tomorrow is Friday 

(ix) She is mathematic graduate. 

(x) There are 40 days in a month. 

(xi) 8 is less than 6. 

(xii) Every set is a finite set. 

(xiii) The sun is a star 

(xiv) Mathematics is fun. 

(xv) There is no rain without clouds. 

(xvi) There are 35 days in a month. 

(xvii) Mathematics is difficult. 

(xviii) The sum of 5 and 7 is greater than 10 

(xix) The square of a number is an even number. 

(xx) The sides of a quadrilateral have equal length. 

(xxi) Answer this question 

(xxii) The product of (-1) and 8 is 8 

(xxiii) Today is windy day. 

(xxiv) All real numbers are complex numbers 

(xxv) The sum of all interior angles of a triangle is 180°

Answer 1

(i) It is a statement because it is always true. 

(ii) It is a statement because it is always true. 

(iii) It is a statement because it is false. 

(vi) It is not a statement because it is open sentence. 

(v) It is not a statement because it is an exclamation. 

(vi) It is not a statement 

∵ It is an order. 

(vii) It is not a statement 

∵ It is a question. 

(viii) Not a statement, 

∵ It is true on Thursday but not on other days. 

(ix) Not a statement 

∵ Sentence with variable pronoun like‘she’. 

(x) A statement ∵ It is false (statement) sentence. 

(xi) A statement ∵ It is a false sentence. 

(xii) Not a statement ∵ It may be true or false 

(xiii) A statement ∵ It is true 

(xiv) Not a statement ∵ This sentence is not always true 

(xv) A statement ∵ This sentence is always true, as is natural phenomenon. 

(xvi) Not a statement ∵ It is false sentence maximum number of days in a month can never exceed. 

(xvii) Not a statement ∵ It may be true or false for some people mathematics can be easy and some people mathematics can be difficult. 

(xviii) A statement∵ It is true sentence. 

Since 5 + 7 = 12 >10 (xix) 

Not a statement, 

∵ It is sometimes true and sometimes false. 

Since (2)²  = 4, even and (3)²  = 9, odd. (xx) 

Not a statement ∵ It may be true or false. Since square has equal length sides, rectangle has unequal length sides. 

(xxi) Not a statement, ∵ It is an order. 

(xxii) A statement ∵ It is false sentence. 

(xxiii) Not a statement ∵ which day is not mentioned 

(xxiv) A statement ∵ It is true sentence. 

(xxv) A statement ∵ It is always true.