Irrational Numbers

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. A number is irrational if and only if its decimal representation is:

Terminating

non- terminating and repeating

non- terminating

non- terminating and non-repeating

Question 1 of 30

2. The product or quotient of a non-zero rational number with an irrational number is:

Rational number

Whole number

Irrational number

Natural number

Question 2 of 30

lies between.

Question 3 of 30

4. Which of the following statement about real numbers is false ?

Closed with respect to operation of algebra

Associative law of multiplication

Distributive law of multiplication with respect to addition

Closed with respect to commutative law of addition

Question 4 of 30

5. Which of the following number is an irrational number?

Question 5 of 30

6. The value obtained on simplifying

Question 6 of 30

7. The decimal expansion 0.080080008000080000080000008……. is a

terminating ,recurring

non-terminating ,recurring

terminating ,non-recurring

non-terminating ,non-recurring

Question 7 of 30

8. Identify two irrational numbers whose product is a rational number.

25, 5

3, 2

3, 27

3, 5

Question 8 of 30

9. Of the given numbers

None are irrational

(i) and (v) are irrational

(iv) and (v) are irrational

Only (v) is irrational

Question 9 of 30

10. An irrational number between

is:

0.7512

0.75

0.750750075000…

√6

Question 10 of 30

11. Identify the irrational number among these.

3√20

9.83

9/5

Question 11 of 30

12. Which of the following is an irrational number?

Question 12 of 30

13.

-20

Question 13 of 30

14. Which of the following is an irrational number ?

4/55

2.31312345….

1.404040…..

1.11

Question 14 of 30

15. Insert one rational number between 2 and 3.

( 2+3)/2

( 2-3)/2

(2 x 3)/2.

2 x 2 + 3 x 3

Question 15 of 30

16.

= _______ .

2/13

3/11

3/13

2/11

Question 16 of 30

17. The ratio of the circumference of a circle to the diameter of the circle is.

An integer

A rational number

An irrational number

A whole number

Question 17 of 30

18. Of the given numbers
(i) √27
(ii) √256
(iii) 0.3796
(iv) 7.478478…
(v) 1.101001000100001…

(i) and (v) are irrational

(iv) and (v) is irrational

only (v) is irrational

none are irrational

Question 18 of 30

19. Which among these is the approximate value of π?

14/3

3/14

7/22

22/7

Question 19 of 30

20. The decimal expansion 0.080080008000080000080000008….. is a

Non-terminating, non-recurring

Non-terminating, recurring

Terminating ,recurring

Terminating, non-recurring

Question 20 of 30

21. How many rational numbers can you find between 5 and 6?

infinite

Question 21 of 30

22. Given that

95°

105°

45°

65°

Question 22 of 30

23. Identify two irrational numbers whose sum is a rational number.

Question 23 of 30

24. If x = 2 +

, then

equals to:

4-2√3

-2√3

Question 24 of 30

25. Which of the following statements is false?

Rational numbers have a terminating or non terminating repeating decimal form.

Irrational numbers can be written in the form p/q where q is non zero and both p, q are integers

Rational numbers can be written in the form p/q where q is non zero and both p,q are integers

Every number on the number line is either rational or irrational, there’s no third alterntative

Question 25 of 30

26. Convert 7/25 in the form of decimals,

0.35

6.26

0.27

0.28

Question 26 of 30

27. An irrational number between

and

is:

1/7

0.4381923…

7/10

√6/35

Question 27 of 30

28. Which of the following statement is true?

Every real number is a rational number.

Every real number is irrational.

The real number line contains both rational as well as irrational numbers.

Half the numbers on the number line are rational and the remaining half irrational

Question 28 of 30

29. A number is said to be an irrational number if its decimal form is

terminating

repeating

non terminating non repeating

non terminating repeating

Question 29 of 30

30. Which of the following is true about real numbers?

All real numbers are rational numbers

All real numbers are irrational numbers

Rational and irrational numbers together constitute real numbers

Some rational numbers are real numbers

Question 30 of 30