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# Rational and irrational numbers cseet MCQ Classify numbers: rational & irrational & Irrational number properties

1. Are the square roots of all positive integers real numbers?

a) Yes

b) None of these

c) Can not determine

d) No

2. Classify the following numbers as rational or irrational :

√144​

a) None of these

b) Can not determine

c) Rational

d) Irrational

3. Classify the following numbers as rational or irrational :

√25

a) None of these

b) Irrational

c) Can not determine

d) Rational

4. State whether the following statements are true or false: Every irrational number is a real number.

a) None of these

b) True

c) Can not determine

d) False

5. Are the square roots of all positive integers irrational?

a) Can not determine

b) No

c) None of these

d) Yes

6. Give an example of the square root of a number that is a rational number.

a) 20

b) 15

c) 25

d) 5

7. Classify the following numbers as rational or irrational :

√22

a) Irrational

b) Rational

c) Can not determine

d) None of these

8. Classify the following numbers as rational or irrational :

√23

a) Rational

b) Irrational

c) Can not determine

d) None of these

9. Classify the following numbers as rational or irrational : 0.765716124276

a) Irrational

b) Can not determine

c) Rational

d) None of these

10. Classify the following numbers as rational or irrational : 0.377675220922

a) Rational

b) Can not determine

c) None of these

d) Irrational

11. Classify the following numbers as rational or irrational : 0.555555...

a) Irrational

b) Can not determine

c) None of these

d) Rational

12. Classify the following numbers as rational or irrational : 0.555555...

a) Irrational

b) Can not determine

c) Rational

d) None of these

13. A number ‘r’ is called a _______ if it can be written in the form p/q, where p and q are integers and q not equal to 0.

a) Irrational Number

b) Rational Number

c) None of these

d) Real Number

14. Every real number is represented by a unique point on the _____

a) Number line

b) None of these

c) Irrational Number

d) Rational Number

15. Every point on the number line represents a unique ____.

a) None of these

b) Real Number

c) Irrational Number

d) Rational Number

16. A number ‘s’ is called ______, if it cannot be written in the form p/q, where p and q are integers and q not equal to 0.

a) None of these

b) Rational Number

c) Irrational Number

d) Real Number

17. The decimal expansion of a rational number is always _______.

a) Non terminating recurring

b) Terminating or Non terminating recurring

c) Terminating

d) Recurring

18. A number whose decimal expansion is terminating or non-terminating recurring is ______.

a) Rational Number

b) None of these

c) Irrational Number

d) Real Number

19. The decimal expansion of an irrational number is _____.

a) Terminating recurring

b) Non-terminating non-recurring

c) Terminating non-recurring

d) Non-terminating recurring

20. A number whose decimal expansion is non-terminating non-recurring is ______.

a) Irrational Number

b) None of these

c) Rational Number

d) Real Number