Which of the following statements are true and which are false ?

(i) Every whole number is a rational number

(ii) Every integer is a rational number

(iii) 0 is a whole number but it is not a rational number.

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Solution

(i) True, as the set of whole numbers is a subset of the set of rational numbers

(ii) True, as the set of integers is a subset of the set of rational numbers.

(iii) False, as 0 is a whole number and set of whole number is a sub set of rational numbers

$∴$ 0 is also a rational number.

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Similar questions

Which of the following statements are true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

Which of the following statement(s) is/are true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

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