SATHEE: Exercise 01

14 Mathematical Reasoning

Exercise 01

Question:

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

Answer:

(i) There are 35 days in a month - Statement (ii) Mathematics is difficult - Not a statement (iii) The sum of 5 and 7 is greater than 10 - Statement (iv) The square of a number is an even number - Not a statement (v) The sides of a quadrilateral have equal length - Statement (vi) Answer this question - Not a statement (vii) The product of (−1) and 8 is 8 - Statement (viii) The sum of all interior angles of a triangle is 180∘ - Statement (ix) Today is a windy day - Not a statement (x) All real numbers are complex numbers - Not a statement