InterviewSolution
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Which of the following sentences are statements? In case of a statement mention whether it is true or false.(i) The sun is a star.(ii) √7 is an irrational number.(iii) The sum of 5 and 6 is less than 10.(iv) Go to your class.(v) Ice is always cold.(vi) Have you ever seen the Red Fort?(vii) Every relation is a function.(viii) The sum of any two sides of a triangle is always greater than the third side.(ix) May God bless you! |
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Answer» (i) The sun is a star is a statement. It is a scientifically proven fact, therefore this sentence is always true. (ii) An irrational number is any number which cannot be expressed as a fraction of two integers. Here, √7 cannot be expressed as a fraction of two integers, so √7 is an irrational number. Therefore, “√7 is an irrational number” is a statement, and it is true. (iii) Sum of 5 and 6 = 5 + 6 = 11 > 10 Sum of 5 and 6 is 11, which is greater than 10. Therefore, “The sum of 5 and 6 is less than 10” is a statement, but not true. (iv) The sentence ‘Go to your class’ is an order. This is an Imperative sentence. Hence it is not a statement. (v) Ice is always cold is a statement. It is scientifically proven the fact, therefore the sentence is always true. (vi) The sentence ‘Have you ever seen the Red Fort? This is an interrogative sentence. Hence not a statement. (vii) ‘Every relation is a function’ is a statement. There are relations which are not functions. Therefore, the sentence is false. (viii) ‘The sum of any two sides of a triangle is always greater than the third side’ It is a statement and mathematically proven result. Hence the statement is true. (ix) ‘May God bless you!’ is an exclamation sentence. Hence it is not a statement. |
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