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

Your comments:

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

Your comments:

Question 2 of 30

lies between.

Your comments:

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

Your comments:

Question 4 of 30

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

Your comments:

Question 5 of 30

6. The value obtained on simplifying

Your comments:

Question 6 of 30

7. The decimal expansion 0.080080008000080000080000008....... is a

terminating ,recurring

non-terminating ,recurring

terminating ,non-recurring

non-terminating ,non-recurring

Your comments:

Question 7 of 30

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

25, 5

3, 2

3, 27

3, 5

Your comments:

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

Your comments:

Question 9 of 30

10. An irrational number between

is:

0.7512

0.75

0.750750075000…

√6

Your comments:

Question 10 of 30

11. Identify the irrational number among these.

3√20

9.83

9/5

Your comments:

Question 11 of 30

12. Which of the following is an irrational number?

Your comments:

Question 12 of 30

13.

-20

Your comments:

Question 13 of 30

14. Which of the following is an irrational number ?

4/55

2.31312345….

1.404040.....

1.11

Your comments:

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

Your comments:

Question 15 of 30

16.

= _______ .

2/13

3/11

3/13

2/11

Your comments:

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

Your comments:

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

Your comments:

Question 18 of 30

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

14/3

3/14

7/22

22/7

Your comments:

Question 19 of 30

20. The decimal expansion 0.080080008000080000080000008..... is a

Non-terminating, non-recurring

Non-terminating, recurring

Terminating ,recurring

Terminating, non-recurring

Your comments:

Question 20 of 30

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

infinite

Your comments:

Question 21 of 30

22. Given that

95°

105°

45°

65°

Your comments:

Question 22 of 30

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

Your comments:

Question 23 of 30

24. If x = 2 +

, then

equals to:

4-2√3

-2√3

Your comments:

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

Your comments:

Question 25 of 30

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

0.35

6.26

0.27

0.28

Your comments:

Question 26 of 30

27. An irrational number between

and

is:

1/7

0.4381923...

7/10

√6/35

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

Question 30 of 30

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