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
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