Multiple Choice Questions on Number Systems Class 9 Best MCQ Test 1

1. Every rational number is

(a) a natural number
(b) an integer
(c) a real number
(d) a whole number

2. Between two rational numbers

(a) there is no rational number
(b) there is exactly one rational number
(c) there are infinitely many rational numbers
(d) there are only rational numbers and no irrational numbers

3. The decimal representation of a rational number cannot be

(a) terminating
(b) non-terminating
(c) non-terminating repeating
(d) non-terminating non-repeating

4. Which of the following is a rational number?

(a)

1 + \sqrt{3}

(b)

π

(c)

2 \sqrt{3}

(d) 0

5. A rational number between −3 and 3 is

(a) 0
(b) −4.3
(c) −3.4
(d) 1.1010010001 ...

6. Two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are

(a)

\frac{1}{6}

and

\frac{2}{6}

(b)

\frac{1}{2}

and

\frac{2}{1}

(c)

\frac{5}{6}

and

\frac{7}{6}

(d)

\frac{2}{3}

and

\frac{4}{3}

7. Every point on a number line represents

(a) a rational number
(b) a natural number
(c) an irrational number
(d) a unique number

8.The product of any two irrational numbers is

(a) always an irrational number
(b) always a rational number
(c) always an integer
(d) sometimes rational, sometimes irrational

9. The decimal expansion of the number $\sqrt{2}$ is

(a) a finite decimal
(b) 1.41421
(c) non-terminating recurring
(d) non-terminating non-recurring

10. Which of the following rational number is equivalent to a decimal that terminates?

(a)

\frac{1}{3}

(b)

\frac{2}{3}

(c)

\frac{3}{8}

(d)

\frac{5}{6}

11. Which of the following is a rational number?

(a)

\sqrt{2}

(b)

\sqrt{23}

(c)

\sqrt{225}

(d) 0.1010010001...

12. Every rational number is

(a) a natural number
(b) a whole number
(c) an integer
(d) a real number

13. The decimal representation of an irrational number is

(a) always terminating
(b) either terminating or repeating
(c) either terminating or non-recurring
(d) neither terminating nor repeating

14. The rational number equivalent to $\frac{7}{19}$ is

(a)

\frac{17}{119}

(b)

\frac{14}{57}

(c)

\frac{21}{38}

(d)

\frac{21}{57}

15. $π$ is

(a) a rational number
(b) an integer
(c) an irrational number
(d) a whole number

16. The decimal expansion of $\sqrt{3}$ is

(a) finite decimal
(b) 1.732
(c) non-terminating recurring
(d) non-terminating non-recurring

17. Which of the following is an irrational number?

(a)

\sqrt{23}

(b)

\sqrt{225}

7. \bar{478}

18. How many digits are there in the repeating block of digits in the decimal expansion of $\frac{17}{7}$ ?

(a) 16
(b) 6
(c) 26
(d) 7

19. Which of the following numbers are irrational?

(a)

\sqrt{\frac{4}{9}}

(b)

\frac{\sqrt{1250}}{\sqrt{8}}

(c)

\sqrt{8}

(d)

\frac{\sqrt{24}}{\sqrt{6}}

20. Which of the following is a true statement?

(a) The sum of two irrational numbers is an irrational number.
(b) The product of two irrational numbers is an irrational number.
(c) Every real number is always rational.
(d) Every real number is either rational or irrational.

21. Which of the following is a true statement?

(a)

π

and

\frac{22}{7}

are both rationals.
(b)

π

and

\frac{22}{7}

are both irrationals.
(c)

π

is rational and

\frac{22}{7}

is irrationals.
(d)

π

is irrational and

\frac{22}{7}

is rational.

22. A rational number lying between $\sqrt{2}$ and $\sqrt{3}$ is

(a)

\frac{\sqrt{2} + \sqrt{3}}{2}

(b)

\sqrt{6}

23. Which of the following is a rational number?

(a)

\sqrt{5}

(b) 0.101001000100001...
(c)

π

(d) 0.853853853...

24. The product of a non-zero rational number with an irrational number is always a/an

(a) irrational number
(b) rational number
(c) whole number
(d) natural number

25. The value of $0. \bar{2}$ in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q$ ≠ 0, is

(a)

\frac{1}{5}

(b)

\frac{2}{9}

(c)

\frac{2}{5}

(d)

\frac{1}{8}

26. The simplest form of $1. \bar{6}$

(a)

\frac{833}{500}

(b)

\frac{8}{5}

(c)

\frac{5}{3}

(d) none of these

27. The simplest form of $0. \bar{54}$ is

(a)

\frac{27}{50}

(b)

\frac{6}{11}

(c)

\frac{4}{11}

(d) none of these

28. The simplest form of $0.3 \bar{2}$ is

(a)

\frac{16}{25}

(b)

\frac{32}{99}

(c)

\frac{29}{90}

(d) none of these

29. The simplest form of $0.12 \bar{3}$ is

(a)

\frac{41}{330}

(b)

\frac{37}{330}

(c)

\frac{41}{333}

(d) none of these

30. An irrational number between 5 and 6 is

(a)

\frac{(5 + 6)}{2}

(b)

\sqrt{5 + 6}

(c)

\sqrt{5 \times 6}

(d) none of these

31. Which of the following is the value of $(\sqrt{11} - \sqrt{7}) (\sqrt{11} + \sqrt{7})$ .

(a) − 4
(b) 4
(c)

\sqrt{11}

(d)

\sqrt{7}

32. $(- 2 - \sqrt{3}) (- 2 + \sqrt{3})$ when simplified is

(a) Positive and irrational
(b) Positive and rational
(c) Negative and irrational
(d) Negative and rational

33. When $15 \sqrt{15}$ is divided by $3 \sqrt{3}$ , the quotient is

(a)

5 \sqrt{3}

(b)

3 \sqrt{5}

(c)

5 \sqrt{5}

(d)

3 \sqrt{3}

34. The value of $\sqrt{20} \times \sqrt{5}$ is

(a) 10
(b)

2 \sqrt{5}

(c)

20 \sqrt{5}

(d)

4 \sqrt{5}

35. The value of $\frac{4 \sqrt{12}}{12 \sqrt{27}}$ is

(a)

\frac{1}{9}

(b)

\frac{2}{9}

(c)

\frac{4}{9}

(d)

\frac{8}{9}

36. $\sqrt{10} \times \sqrt{15} = ?$

(a)

\sqrt{25}

(b)

5 \sqrt{6}

(c)

6 \sqrt{5}

(d) None of these

37. $\frac{\sqrt{32} + \sqrt{48}}{\sqrt{8} + \sqrt{12}} = ?$

(a)

\sqrt{2}

(b) 2
(c) 4
(d) 8

38. ${(125)}^{\frac{- 1}{3}} = ?$

(a) 5
(b) −5
(c)

\frac{1}{5}

(d)

- \frac{1}{5}

39. The value of $7^{\frac{1}{2}} \cdot 8^{\frac{1}{2}}$ is

(a)

(28)^{\frac{1}{2}}

(b)

(56)^{\frac{1}{2}}

(c)

(14)^{\frac{1}{2}}

(d)

(42)^{\frac{1}{2}}

40. The value of $\frac{2^{0} + 7^{0}}{5^{0}}$ is

(a) 0
(b) 2
(c)

\frac{9}{5}

(d)

\frac{1}{5}

Multiple Choice Questions on Number Systems Class 9

Multiple Choice Questions on Number Systems Class 9

There are 40 multiple choice questions (mcq) in the test. Only one option is correct out of the four options. Each question carries 1 marks.

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