NCERT Class IX Mathematics Chapter 1 Number System MCQ

1.) Can we write $0$ in the form of $\frac{p}{q}$?

a. Yes

b. No

c. Cannot be explained

d. None of the above

Answer: a

2.) The three rational numbers between $3$ and $4$ are:

a. $\frac{5}{2}$, $\frac{6}{2}$, $\frac{7}{2}$

b. $\frac{13}{4}$, $\frac{14}{4}$, $\frac{15}{4}$

c. $\frac{12}{7}$, $\frac{13}{7}$, $\frac{14}{7}$

d. $\frac{11}{4}$, $\frac{12}{4}$, $\frac{13}{4}$

Answer: b

3.) In between any two numbers, there are:

a. Only one rational number

b. Two rational numbers

c. Infinite rational numbers

d. No rational number

Answer: c

4.) Every rational number is:

a. Whole number

b. Natural number

c. Integer

d. Real number

Answer: d

5.) $\sqrt{9}$ is  __________ number.

a. A rational

b. An irrational

c. Neither rational nor irrational

d. None of the above

Answer: a

6.) Which of the following is an irrational number?

a. $\sqrt{16}$

b. $\sqrt{\frac{12}{3}}$

c. $\sqrt{12}$

d. $\sqrt{100}$

Answer: c

7.) $3\sqrt{6}+4\sqrt{6}$ is equal to:

a. $6\sqrt{6}$

b. $7\sqrt{6}$

c. $4\sqrt{12}$

d. $7\sqrt{12}$

Answer: b

8.) $\sqrt{6}\times \sqrt{27}$ is equal to:

a. $9\sqrt{2}$

b. $3\sqrt{3}$

c. $2\sqrt{2}$

d. $9\sqrt{3}$

Answer: a

9.) Which of the following is equal to $x^3$?

a. $x^6-x^3$

b. $x^6\cdot x^3$

c. $\frac{x^6}{x^3}$

d. $(x^6{)}^3$

Answer: c

10.) Which of the following is an irrational number?

a. $\sqrt{23}$

b. $\sqrt{225}$

c. $0.3796$

d. $7.478478$

Answer: a

11.) Which of the following is an irrational number?

a. $0.14$

b. $0.14\overline{16}$

c. $0.\overline{1416}$

d. $0.4014001400014\dots$

Answer: d

12.) $2\sqrt{3}+\sqrt{3}=$

a. $6$

b. $2\sqrt{6}$

c. $3\sqrt{3}$

d. $4\sqrt{6}$

Answer:  c

14.) The number obtained on rationalising the denominator of $\frac{1}{\sqrt{7}-2}$ is

a. $\frac{\sqrt{7}+2}{3}$

b. $\frac{\sqrt{7}-2}{3}$

c. $\frac{\sqrt{7}+2}{5}$

d. $\frac{\sqrt{7}+2}{45}$

Answer: a

15.) Which of the following is rational?

a. $\frac{4}{0}$

b. $\frac{0}{4}$

c. $\sqrt{3}$

d. $\pi$

Answer: b

16.) The irrational number between $2$ and $2.5$ is 

a. $\sqrt{11}$

b. $\sqrt{5}$

c. $\sqrt{22.5}$

d. $\sqrt{12.5}$

Answer: b

17.) The value of $\sqrt{10}$ times $\sqrt{15}$ is equal to

a. $5\sqrt{6}$

b. $\sqrt{25}$

c. $10\sqrt{5}$

d. $\sqrt{5}$

Answer: a

18.) The decimal representation of the rational number is

a. Always terminating

b. Either terminating or repeating

c. Either terminating or non-repeating

d. Neither terminating nor repeating

Answer: b

19.) Which of the following is a rational number?

a. $0$

b. $2\sqrt{3}$

c. $2+\sqrt{3}$

d. $\pi$

Answer: a

20.) Which of the following is an irrational number?

a. $\sqrt{\frac{4}{9}}$

b. $\frac{\sqrt{12}}{\sqrt{3}}$

c. $\sqrt{7}$

d. $\sqrt{81}$

Answer: c